One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus

Abstract

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this effective action in light-cone gauge are calculated. The RFT calculus for reggeized gluons similarly to the RFT introduced in [3] is proposed and discussed. The correctness of the results is verified by calculation of the propagator of $A_{+}$ and $A_{-}$ reggeized gluons fields and application of the obtained results is discussed as well.

arXiv comment24 pages

References in corpus (51)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• 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
• Factorization and high-energy effective action
• Small-x physics in perturbative QCD
• Gauge invariant effective action for high-energy processes in QCD
• A New Odderon Solution in Perturbative QCD
• Unitarity Corrections in High Energy QCD
• Solution of the Odderon Problem
• Effective Hamiltonian for QCD evolution at high energy
• Nonlinear evolution in high-density QCD
• The Gluon Propagator in non-Abelian Weizsäcker-Williams fields
• Nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• NLO jet vertex from Lipatov's QCD effective action
• Integrability of scattering amplitudes in N=4 SUSY
• Nucleus-nucleus interaction in the perurbative QCD
• High-enegy effective action from scattering of QCD shock waves
• Duality symmetry of Reggeon interactions in multicolour QCD
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• NLO Corrections to the kernel of the BKP-equations
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Gluon production on two centers and the effective action approach
• The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism
• Integrable spin chains and scattering amplitudes
• 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
• Ward Identities for Amplitudes with Reggeized Gluons
• Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
• On the inclusive gluon production in the Lipatov effective action formalism
• Boundary conditions in the QCD nucleus-nucleus scattering problem
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• Production of two gluons in the Lipatov effective action formalism
• CGC formalism with two sources
• On the Wess-Zumino term in high energy QCD
• Gluon production in the Lipatov effective action formalism
• Off-shell gluon production in interaction of a projectile with 2 or 3 targets
• Reggeon-gluon vertices with Ward identities
• Direct Calculations of the Odderon Intercept in the Perturbative QCD
• Diffractive scattering on the deuteron
• On asymptotic solutions of RFT in zero transverse dimensions
• BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD

Cited by in corpus (13)

• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Inclusive prompt photon production in electron-nucleus scattering at small x
• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• S-matrix and productions amplitudes in high energy QCD
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Transverse Momentum Dependent Gluon Distribution within High Energy Factorization at Next-to-Leading Order
• High energy QCD Lipatov's effective action in Euclidean space
• NNLO classical solution for Lipatov's effective action for reggeized gluons