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The Renormalization Group Equation for the Color Glass Condensate
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The Renormalization Group Equation for the Color Glass Condensate
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We present an explicit and simple form of the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate (CGC). This is a functional Fokker-Planck equation for the probability density of the color field which describes the CGC in the covariant gauge. It is equivalent to the Euclidean time evolution equation for a second quantized current-current Hamiltonian in two spatial dimensions. The quantum corrections are included in the leading log approximation, but the equation is fully non-linear with respect to the generally strong background field. In the weak field limit, it reduces to the BFKL equation, while in the general non-linear case it generates the evolution equations for Wilson-line operators previously derived by Balitsky and Kovchegov within perturbative QCD.
Forward citations
Cited by 17 Pith papers
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Emergent Local Phase-Space Scaling in Small-x Gluon Evolution
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Analytic and Approximate Solutions to Color Glass Condensate in the Classical Weak-Field Limit
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Analytical CGC amplitudes and cross sections for forward g o q¯qg and g o ggg trijet production in pA collisions are obtained, with rapidity and collinear divergences shown to match JIMWLK and DGLAP evolution.
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Unbiased Data-Driven Determination of the Nuclear Dipole Amplitude in the Color Glass Condensate
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Running coupling effects in the anti-collinear resummation in high energy evolution
Running coupling plus anti-collinear resummation in BFKL/JIMWLK slows evolution and cuts the anti-collinear Pomeron intercept, while χ(γ=1) is protected by a cancellation between kernel and DGLAP running.
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Factorization of elastic, single, and double diffractive $pp$ scattering
SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.
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Emergent Local Phase-Space Scaling in Small-x Gluon Evolution
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Quark Reggeization in QCD from the Wilson line formalism
Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.
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Multiplicity-dependent forward jet production in proton-nucleus collisions
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Multiplicity-dependent forward jet production in proton-nucleus collisions
CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.
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Forward hadron production in pp collisions at LHC energies from an event generator based on the color glass condensate framework
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