The Renormalization Group Equation for the Color Glass Condensate
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In this article, 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) was presented.Abstract:
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.read more
Citations
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Nonlinear gluon evolution in the color glass condensate: I
TL;DR: In this article, a nonlinear evolution equation was proposed to describe the small-x-quantum hadronic physics in the regime of very high gluon density, which is a functional Fokker-Planck equation in terms of a classical random color source.
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Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
Alberto Accardi,Alberto Accardi,Javier L. Albacete,M. Anselmino,Néstor Armesto,Elke Aschenauer,Alessandro Bacchetta,Daniël Boer,W. K. Brooks,T. P. Burton,N.-B. Chang,W.-T. Deng,W.-T. Deng,A. Deshpande,Markus Diehl,Adrian Dumitru,R. Dupré,R. Ent,Salvatore Fazio,Haiyan Gao,Vadim Guzey,H. Hakobyan,Yue Hao,D. Hasch,R. J. Holt,T. Horn,M. Huang,Andrew Hutton,C. E. Hyde,J. Jalilian-Marian,S. R. Klein,B. Kopeliovich,Yuri V. Kovchegov,K. S. Kumar,Krešimir Kumerički,M. A.C. Lamont,Tuomas Lappi,J. H. Lee,Y. Lee,Eugene Levin,Eugene Levin,F.-L. Lin,Vladimir Litvinenko,T. W. Ludlam,Cyrille Marquet,Zein-Eddine Meziani,Robert McKeown,Andreas Metz,Richard G. Milner,Vasiliy Morozov,Alfred H. Mueller,Berndt Müller,Berndt Müller,Dieter Müller,P. Nadel-Turonski,Hannu Paukkunen,A. Prokudin,V. Ptitsyn,Xin Qian,Jian-Wei Qiu,M. Ramsey-Musolf,T. Roser,F. Sabatié,Rodolfo Sassot,G. Schnell,Peter Schweitzer,E. P. Sichtermann,Marco Stratmann,Mark Strikman,M. Sullivan,S. Taneja,S. Taneja,T. Toll,D. Trbojevic,T. Ullrich,Raju Venugopalan,S. Vigdor,Werner Vogelsang,Christian Weiss,Bo-Wen Xiao,Feng Yuan,Y.-H. Zhang,Liang Zheng,Liang Zheng +83 more
TL;DR: In this article, the science case of an Electron-Ion Collider (EIC), focused on the structure and interactions of gluon-dominated matter, with the intent to articulate it to the broader nuclear science community, is presented.
Book
Quantum Chromodynamics at High Energy
Yuri V. Kovchegov,Eugene Levin +1 more
TL;DR: In this article, the authors present the physics of strong interactions in a universal way, making it useful for physicists from various subcommunities of high energy and nuclear physics, and applicable to processes studied at all high energy accelerators around the world.
Journal ArticleDOI
Saturation and BFKL dynamics in the HERA data at small-x
TL;DR: In this paper, the HERA data for the inclusive structure function F2(x,Q2) for x ⩽10−2 and 0.045⩽Q2⩻45 −GeV2 can be well described within the color dipole picture, with a simple analytic expression for the dipole-proton scattering amplitude, which is an approximate solution to the nonlinear evolution equations in QCD.
Journal ArticleDOI
Geometric Scaling above the Saturation Scale
TL;DR: In this article, it was shown that the evolution equations in QCD predict geometric scaling for quark and gluon distribution functions in a large kinematical window, which extends above the saturation scale up to momenta Q 2 of order 100GeV 2.
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