Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action

Abstract

We consider a derivation of the hierarchy of correlators of ordered exponentials directly from the Lipatov's effective action~\cite{LipatovEff} formulated in terms of interacting ordered exponentials~\cite{OurZub}. The derivation of the Balitsky equation~\cite{Bal} from the hierarchy is discussed as well as the way the sub-leading eikonal corrections to the Balitsky equation arise from the transverse field contribution and sub-leading eikonal corrections to the quark propagator. We outline other possible applications of the proposed calculation scheme.

arXiv comment24 pages

References in corpus (100)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• NLO evolution of color dipoles
• Factorization and high-energy effective action
• Small-x physics in perturbative QCD
• Gauge invariant effective action for high-energy processes in QCD
• Resumming double logarithms in the QCD evolution of color dipoles
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Collinearly-improved BK evolution meets the HERA data
• Rapidity evolution of Wilson lines at the next-to-leading order
• Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Next-to-leading order Balitsky-Kovchegov equation with resummation
• Gluon saturation in dijet production in p-Pb collisions at Large Hadron Collider
• Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order
• Photon impact factor in the next-to-leading order
• Effective Hamiltonian for QCD evolution at high energy
• Color Glass Condensate at next-to-leading order meets HERA data
• Nonlinear evolution in high-density QCD
• Quark contribution to the reggeon-reggeon-gluon vertex in QCD
• Sub-eikonal corrections to scattering amplitudes at high energy
• NLO jet vertex from Lipatov's QCD effective action
• Small-$x$ Helicity Evolution: an Operator Treatment
• Helicity Evolution at Small-x
• Small-$x$ asymptotics of the quark helicity distribution
• Radiative corrections to quark-quark-reggeon vertex in QCD
• Small-$x$ Asymptotics of the Gluon Helicity Distribution
• Planckian Energy Scattering and Surface Terms in the Gravitational Action
• Helicity-dependent generalization of the JIMWLK evolution
• Next-to-next-to-eikonal corrections in the CGC
• High-enegy effective action from scattering of QCD shock waves
• One gluon, two gluon: multigluon production via high energy evolution
• Deep inelastic scattering in the dipole picture at next-to-leading order
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Systematics of azimuthal anisotropy harmonics in proton-nucleus collisions at the LHC from the Color Glass Condensate
• Remarks on High Energy Evolution
• Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
• Unbound exotic nuclei studied by projectile fragmentation
• High-energy Operator Product Expansion at sub-eikonal level
• On the one-loop calculations with Reggeized quarks
• Exclusive J/Psi and Psi(2s) photo-production as a probe of QCD low x evolution equations
• The system of four reggeized gluons and the three-pomeron vertex in the high colour limit
• Reggeon Field Theory for Large Pomeron Loops
• Non-eikonal corrections to multi-particle production in the Color Glass Condensate
• Constraining unintegrated gluon distributions from inclusive photon production in proton-proton collisions at the LHC
• Effect of non-eikonal corrections on azimuthal asymmetries in the Color Glass Condensate
• Inclusive prompt photon production in electron-nucleus scattering at small x
• A remark on the high--energy quark--quark scattering and the eikonal approximation
• QCD Saturation in the Semi-classical Approach
• QCD Reggeon Calculus From KLWMIJ/JIMWLK Evolution: Vertices, Reggeization and All
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• One-loop Reggeon-Reggeon-gluon vertex at arbitrary space-time dimension
• Calculation of Reggeon Vertices in QCD
• On the inclusive gluon jet production from the triple pomeron vertex in the perturbative QCD
• Gluon production on two centers and the effective action approach
• The dipole form of the gluon part of the BFKL kernel
• The dipole form of the quark part of the BFKL kernel
• On the coordinate representation of NLO BFKL
• The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism
• Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{\mathrm{c}}$
• Radiative Corrections to QCD Amplitudes in Quasi-Multi-Regge Kinematics
• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• Production of a gluon with the exchange of three reggeized gluons in the Lipatov effective action approach
• Conformal kernel for NLO BFKL equation in $\mathcal{N}$=4 SYM
• Sudakov effects in central-forward dijet production in high energy factorization
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• Ward Identities for Amplitudes with Reggeized Gluons
• On the inclusive gluon production in the Lipatov effective action formalism
• Boundary conditions in the QCD nucleus-nucleus scattering problem
• Path Integrals for Potential Scattering
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• On the Wess-Zumino term in high energy QCD
• S-matrix and productions amplitudes in high energy QCD
• Production of two gluons in the Lipatov effective action formalism
• CGC formalism with two sources
• Off-shell gluon production in interaction of a projectile with 2 or 3 targets
• Gluon production in the Lipatov effective action formalism
• Gluon density and $F_2$ functions from BK equation with impact parameter dependence
• Reggeon-gluon vertices with Ward identities
• A New Path-Integral Representation of the $T$-Matrix in Potential Scattering
• Diffractive scattering on the deuteron
• Eikonal propagators and high-energy parton-parton scattering in gauge theories
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• On QCD RFT corrections to the propagator of reggeized gluons
• High energy scattering in Einstein-Cartan gravity
• Abelian Fock-Schwinger representation for the quark propagator in external gauge field
• Scattering Theory with Path Integrals
• High energy QCD Lipatov's effective action in Euclidean space
• Impact parameter model for GPD

Cited by in corpus (3)

• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• T-odd Leading-Twist Quark TMDs at Small $x$
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate