Factorization and high-energy effective action

Abstract

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors ordered along the straight line. The resulting factorization formula gives a starting point for a new approach to the effective action for high-energy scattering in QCD.

34 pages, Latex, 13 postscript figures, submitted to PRD

References in corpus (4)

• BFKL pomeron in the next-to-leading approximation
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
• Factorization for high-energy scattering

Cited by in corpus (290)

• NLO evolution of color dipoles
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Quark contribution to the small-$x$ evolution of color dipole
• Cronin Effect and High-p_T Suppression in pA Collisions
• The initial energy density of gluons produced in very high energy nuclear collisions
• Triumvirate of Running Couplings in Small-x Evolution
• Prompt neutrino fluxes from atmospheric charm
• Inclusive Gluon Production in DIS at High Parton Density
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• The initial gluon multiplicity in heavy ion collisions
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Effective field theory for the small-x evolution
• Feynman rules for effective Regge action
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Rapidity evolution of Wilson lines at the next-to-leading order
• Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
• The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy
• Long-Range Rapidity Correlations in Heavy-Light Ion Collisions
• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order
• Photon impact factor in the next-to-leading order
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• Effective Hamiltonian for QCD evolution at high energy
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Perturbative Odderon in the Dipole Model
• Nonlinear QCD Evolution: Saturation without Unitarization
• Gluon saturation and inclusive hadron production at LHC
• Nonlinear evolution in high-density QCD
• Subleading-N_c corrections in non-linear small-x evolution
• Angular and long range rapidity correlations in particle production at high energy
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• Interactions of Reggeized Gluons in the Möbius Representation
• From target to projectile and back again: selfduality of high energy evolution
• Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept
• Gluon TMD in particle production from low to moderate x
• NLO evolution of color dipoles in N=4 SYM
• Classical Initial Conditions for Ultrarelativistic Heavy Ion Collisions
• Perturbative Saturation and the Soft Pomeron
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Small-$x$ Helicity Evolution: an Operator Treatment
• Paving the Way Towards Precision Physics in Saturation Studies Through Exclusive Diffractive Light Neutral Vector Meson Production
• Small-$x$ asymptotics of the quark helicity distribution
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• Saturation and Scaling of Multiplicity, Mean p_T and p_T Distributions from 200 GeV < sqrt{s} < 7 TeV - Addendum
• A New Mechanism for Generating a Single Transverse Spin Asymmetry
• Small-$x$ Asymptotics of the Gluon Helicity Distribution
• Baryon Stopping and the Valence Quark Distribution at Small x
• Two-parton scattering in the high-energy limit
• NLO JIMWLK evolution unabridged
• Hadron multiplicity in pp and AA collisions at LHC from the Color Glass Condensate
• Gluon saturation and energy dependence of hadron multiplicity in pp and AA collisions at the LHC
• Helicity-dependent generalization of the JIMWLK evolution
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Saturation physics at HERA and RHIC: An unified description
• The Present and Future of QCD
• High-enegy effective action from scattering of QCD shock waves
• Limiting fragmentation in hadron-hadron collisions at high energies
• One gluon, two gluon: multigluon production via high energy evolution
• Exact kinematics in the small x evolution of the color dipole and gluon cascade
• Small-$x$ Asymptotics of the Quark Helicity Distribution: Analytic Results
• Small x nonlinear evolution with impact parameter and the structure function data
• New observables to test the Color Glass Condensate beyond the large-N_c limit
• Investigation of diffractive photoproduction of $J/\Psi$ in hadronic collisions
• Summing Pomeron loops in the dipole approach
• Impact factor for high-energy two and three jets diffractive production
• High-energy QCD amplitudes at two loops and beyond
• Entanglement entropy and entropy production in the Color Glass Condensate framework
• Elliptic Flow from Minijet Production in Heavy Ion Collisions
• Geometric scaling and QCD evolution
• The Odderon in Quantum Chromodynamics
• High Energy QCD at NLO: from light-cone wave function to JIMWLK evolution
• Scattering of shock waves in QCD
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• Dense-Dilute Duality at work: dipoles of the target
• Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
• Geometric Scaling in Inclusive Charm Production
• Exclusive ${\rm Y}$ photoproduction in hadronic collisions at CERN LHC energies
• Treading on the cut: Semi inclusive observables at high energy
• Helicity-dependent extension of the McLerran-Venugopalan model
• More Remarks on High Energy Evolution
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• HERA-data in the light of small x evolution with state of the art NLO input
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• Calculating TMDs of a Large Nucleus: Quasi-Classical Approximation and Quantum Evolution
• Expanding running coupling effects in the hard Pomeron
• Two-Gluon Correlations in Heavy-Light Ion Collisions: Energy and Geometry Dependence, IR Divergences, and $k_T$-Factorization
• Heavy quarks in proton-nucleus collisions - the hybrid formalism
• Higher-twist corrections to gluon TMD factorization
• Gluon splitting in a shockwave
• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• Helicity at Small $x$: Oscillations Generated by Bringing Back the Quarks
• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Running Coupling Corrections to High Energy Inclusive Gluon Production
• Helicity Evolution at Small $x$: the Single-Logarithmic Contribution
• Orbital Angular Momentum at Small $x$
• TMD gluon distributions at small x in the CGC theory
• Overview of high-density QCD studies with the CMS experiment at the LHC
• First analysis of world polarized DIS data with small-$x$ helicity evolution
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions
• Hadrons and direct photon in pp and pA collisions at LHC and saturation effects
• QCD Reggeon Field Theory for every day: Pomeron loops included
• Quantum chromodynamics at high energy and statistical physics
• Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: real corrections
• Probing the Sivers function with an unpolarized target: GTMD distributions and the Odderons
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• A zero-dimensional model for high-energy scattering in QCD
• Comparing AdS/CFT Calculations to HERA F_2 Data
• JIMWLK evolution of the odderon
• Inclusive gluon production in the dipole approach: AGK cutting rules
• High energy QCD: multiplicity distribution and entanglement entropy
• T-odd Leading-Twist Quark TMDs at Small $x$
• Analytic Solution for the Revised Helicity Evolution at Small $x$ and Large $N_c$: New Resummed Gluon-Gluon Polarized Anomalous Dimension and Intercept
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• Scattering of color dipoles: from low to high energies
• A momentum Space Analysis of the Triple Pomeron Vertex in pQCD
• Enhancement and Suppression of the Neutrino-Nucleon Total Cross Section at Ultra-High Energies
• Hard probes in heavy ion collisions at the LHC: PDFs, shadowing and $pA$ collisions
• On gauge invariance of transverse momentum dependent distributions at small x
• One-dimensional model for QCD at high energy
• Collinear Singularities and Running Coupling Corrections to Gluon Production in CGC
• A simple evolution equation for rapidity distributions in nucleus-nucleus collisions
• Instantons in the Saturation Environment
• NLO computation of diffractive di-hadron production in a saturation framework
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• On the long-range correlations in hadron-nucleus collisions
• Selected topics in diffraction with protons and nuclei: past, present, and future
• N=4 SYM and QCD motivated approach to soft interactions at high energies
• Heavy quark production and gluon saturation in double parton scattering at LHC
• TMD factorization for dijets + photon production from the dilute-dense CGC framework
• A comparative study of the neutrino-nucleon cross section at ultra high energies
• QCD factorization for twist-three axial-vector parton quasidistributions
• CGC/saturation approach: secondary Reggeons and $\rho =Re/Im$ dependence on energy
• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• Quark correlations in the Color Glass Condensate: Pauli blocking and the ridge
• The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White
• Classical Gluon Production Amplitude for Nucleus-Nucleus Collisions: First Saturation Correction in the Projectile
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• The high energy behavior of QCD: The effective action and the triple-Pomeron-vertex
• Multiparticle production in the mean field approximation of high density QCD
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Inelastic processes in DIS and N=4 SYM
• The BFKL Pomeron Calculus in the dipole approach
• Non-linear QCD dynamics and exclusive production in $ep$ collisions
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• $J/\psi$ production in hadron scattering: three-pomeron contribution
• Saturation and geometric scaling in DIS at small x
• Diffractive single hadron production in a saturation framework at the NLO
• Deeply virtual Compton scattering at small x
• The dipole representation of vector meson electroproduction beyond leading twist
• Correlation Functions and Cumulants in Elliptic Flow Analysis
• Conformal symmetry of JIMWLK Evolution at NLO
• CGC/saturation approach: a new impact-parameter dependent model
• O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
• CGC/saturation approach for soft interactions at high energy: survival probability of the central exclusive production
• QCD unitarity constraints on Reggeon Field Theory
• Lensing Mechanism Meets Small-$x$ Physics: Single Transverse Spin Asymmetry in $p^{\uparrow }+p$ and $p^{\uparrow }+A$ Collisions
• Heavy quark production at LHC in the color dipole formalism
• Conformal invariance of TMD rapidity evolution
• QCD Odderon: non linear evolution in the leading twist
• A model for strong interactions at high energy based on the CGC/saturation approach
• How Pomerons Meet in Coloured Glass
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• Baryon Stopping in Proton-Nucleus Collisions
• High energy QCD: multiplicity dependence of quarkonia production
• CGC formalism with two sources
• CGC/saturation approach for soft interactions at high energy: inclusive production
• Diffractive deep inelastic scattering in an AdS/CFT inspired model: A phenomenological study
• On the Wess-Zumino term in high energy QCD
• Soft photon and two hard jets forward production in proton-nucleus collisions
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• Testing Non-linear Evolution with Running Coupling Corrections in $ep$ and $pp$ collisions
• CGC/saturation approach for soft interactions at high energy: a two channel model
• R-Current DIS on a Shock Wave: Beyond the Eikonal Approximation
• Inclusive 1-jet Production Cross Section at Small x in QCD: Multiple Interactions
• Uncovering the triple pomeron vertex from Wilson line formalism
• Unitarity bound for gluon shadowing
• Cubic color charge correlator in a proton made of three quarks and a gluon
• On the rapidity dependence of the average transverse momentum in hadronic collisions
• Perturbative QCD and beyond: azimuthal angle correlations in deuteron-deuteron scattering from Bose-Einstein correlations
• Reggeon Field Theory and Self Duality: Making Ends Meet
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• BFKL Pomeron: modeling confinement
• The JIMWLK evolution and the s-channel unitarity
• CGC/saturation approach for high energy soft interactions: `soft' Pomeron structure and $v_n$ in hadron and nucleus collisions from Bose-Einstein correlation
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• First Saturation Correction in High Energy Proton-Nucleus Collisions: I. Time evolution of classical Yang-Mills fields beyond leading order
• A phenomenological analysis of the nonperturbative QCD contributions for the photon wave function
• CGC/saturation approach for high energy soft interactions: ${\mathbf{v}}_2$ in proton-proton collisions
• Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation
• QCD motivated approach to soft interactions at high energy: inclusive production
• New Representation for the 2-to-4 Gluon Vertex in High Energy QCD
• Estimating non-linear QCD effects in ultrahigh energy neutrino events at IceCube
• Stronger $C$-odd color charge correlations in the proton at higher energy
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
• The C-Odd Four-Gluon State in the Color Glass Condensate
• Heavy quark production in deep inelastic electron-nucleus scattering
• Non linear evolution: revisiting the solution in the saturation region
• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• CGC/saturation approach: soft interaction at the LHC energies
• Soft interaction at high energy and N=4 SYM
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation
• Gluon saturation and inclusive production at low transverse momenta
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• High-energy amplitudes in N=4 SYM in the next-to-leading order
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• Probing the Color Glass Condensate in $pp$ collisions at forward rapidities and very low transverse momenta
• A CGC/saturation approach for angular correlations in proton-proton scattering
• Semiclassical solution to the BFKL equation with massive gluons
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
• Coherent and incoherent diffractive hadron production in pA collisions and gluon saturation
• QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions
• D-instantons and multiparticle production in N=4 SYM
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD
• NLO JIMWLK evolution with massive quarks
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
• Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the ${\phi }^4$ Theory
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Structure functions at small x_Bj in a Euclidean field theory approach
• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
• High energy scattering in Einstein-Cartan gravity
• Inclusive production in a QCD and N=4 SYM motivated model for soft interactions
• On QCD RFT corrections to the propagator of reggeized gluons
• Jets separated by a large pseudorapidity gap at the Tevatron and at the LHC
• Saturation and linear transport equation
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
• The two-loop Higgs impact factor
• Structure functions from renormalization group improved small $x$ evolution
• CGC/saturation approach for soft interactions at high energy: long range rapidity correlations
• DGLAP evolution for DIS diffraction production of high masses
• BFKL equation with running QCD coupling and HERA data
• Dipole-dipole scattering amplitude in CGC approach
• Heavy Quark Production in Ultra High Energy Cosmic Ray Interactions
• Longitudinal Rescaling and High-Energy Effective Actions
• Soft interactions at high energies: QCD motivated approach
• Multiplicity dependence of ${\chi }_c$ and ${\chi }_b$ meson production
• Structure constants of twist-two light-ray operators in the triple Regge limit
• Long range rapidity correlations in soft interaction at high energies
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Energy evolution of J/$\psi$ production in DIS on nuclei
• Diffraction, the Color Glass Condensate and String Theory
• Soft processes at high energy without soft Pomeron: a QCD motivated model
• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
• Single inclusive jet photoproduction at very forward rapidities in $pp$ and $pPb$ collisions at the LHC
• Gluon saturation: survival probability for leading neutrons in DIS
• Eikonal but not: a complementary view of high energy evolution
• Thermal radiation and inclusive production in the running coupling $k_T$ -- factorization approach
• Soft Pomeron in the Colour Glass Condensate approach
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• Homotopy solution to non-linear evolution for heavy nuclei
• Inclusive gauge boson production in the color dipole formalism
• Impact factor for high-energy two and three jets diffractive production
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• CGC/saturation approach: re-visiting the problem of odd harmonics in angular correlations
• Kaon production in high multiplicity events at the LHC
• BFKL Pomeron calculus: nucleus-nucleus scattering
• The Semiclassical Gluon Distribution at Next-to-Leading Order
• Remarks on Diffractive Dissociation within JIMWLK Evolution at NLO
• Azimuthal angle correlations in hadron-nucleus scattering: enhanced diagrams
• Fine structures of azimuthal correlations of two gluons in the glasma
• The BFKL Pomeron calculus: summing enhanced diagrams
• Modified homotopy approach for diffractive production in the saturation region
• Homotopy approach for scattering amplitude for running QCD coupling
• Exploring the DGLAP resummation in the JIMWLK Hamiltonian
• A new parton model for the soft interactions at high energies
• Improving the solver for the Balitsky-Kovchegov evolution equation with Automatic Differentiation
• High energy scattering in QCD: dipole approach with Pomeron loops
• Yangian symmetry applied to Quantum chromodynamics
• Traveling waves and the renormalization group improved Balitsky-Kovchegov equation
• Rapidity window dependence of ridge correlations in the glasma
• Diffractive hadron production in DIS off heavy nuclei and gluon saturation
• First correction to JIMWLK evolution from the classical equations of motion
• Photoproduction of three jets in the CGC: gluon TMDs and dilute limit
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• QCD at high energies and Yangian symmetry
• Multiplicity distributions in DIS for heavy nucleus
• Energy evolution and the Bose-Einstein enhancement for double parton densities
• Transverse Spin and Classical Gluon Fields: Combining Two Perspectives on Hadronic Structure
• Impact Factor for Exclusive Diffractive Dijet Production with NLO Accuracy
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit