The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White

Abstract

We further discuss the QCD Reggeon field theory (RFT) as it emerges from the JIMWLK/KLWMIJ evolution equation and beyond. We give an explicit expression for the calculation of scattering amplitude in terms of the eigenstates of the RFT Hamiltonian. We point out that the spectrum of RFT is doubly degenerate, the degeneracy being related to the spontaneous breaking of the Dense-Dilute Duality symmetry of RFT. The degeneracy is between the "almost white" states (the Yang sector) which contain a small number of gluons, and "almost black" states (the Yin sector). The excitations above the Yang vacuum have natural interpretation in terms of gluons. Analogously the excitations above the Yin vacuum have natural interpretation as "holes" in the black disk - points at which an incoming gluon does not scatter with unit probability. We discuss in detail the spectrum of the "parton model approximation" to the KLWMIJ evolution introduced in our previous paper, and prove that it is explicitly selfdual. This allows us to find explicitly the counterpart hole states in this approximation. We also present an argument to the effect that the end point of the evolution for any physical state cannot be a "grey disk" but must necessarily be the "black disk" Yin vacuum state. Finally, we suggest an approximation scheme for including the Pomeron loop contribution to the evolution which requires only the solution of the JIMWLK/KLWMIJ Hamiltonian.

arXiv comment25 pages, 1 figure

References in corpus (43)

• 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
• 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
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Unitarity at small Bjorken x
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Unitarity and the BFKL Pomeron
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Factorization and high-energy effective action
• Solution to the evolution equation for high parton density QCD
• Factorization for high-energy scattering
• Vector potential versus colour charge density in low-x evolution
• Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
• Small-x physics beyond the Kovchegov equation
• New Scaling at High Energy DIS
• Odderon in the Color Glass Condensate
• A Langevin equation for high energy evolution with pomeron loops
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Effective Hamiltonian for QCD evolution at high energy
• Non-linear QCD evolution with improved triple-pomeron vertices
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Nonlinear evolution and saturation for heavy nuclei in DIS
• From target to projectile and back again: selfduality of high energy evolution
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• High-enegy effective action from scattering of QCD shock waves
• Particle Correlations in Saturated QCD Matter
• Remarks on High Energy Evolution
• Dense-Dilute Duality at work: dipoles of the target
• More Remarks on High Energy Evolution
• On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• The Iancu-Mueller factorization and high energy asymptotic behaviour
• Tachyon dynamics of the black disc limit in the hard small $x$ processes in QCD

Cited by in corpus (14)

• One gluon, two gluon: multigluon production via high energy evolution
• Treading on the cut: Semi inclusive observables at high energy
• Reggeon Field Theory for Large Pomeron Loops
• QCD Reggeon Field Theory for every day: Pomeron loops included
• QCD Reggeon Calculus From KLWMIJ/JIMWLK Evolution: Vertices, Reggeization and All
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• Reggeon Field Theory and Self Duality: Making Ends Meet
• The JIMWLK evolution and the s-channel unitarity
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• Dense-dilute factorization for a class of stochastic processes and for high energy QCD
• QCD at small x and nucleus-nucleus collisions
• Inside looking out: probing JIMWLK with BFKL calculations
• Extremal black disks in QCD
• Tunneling through Color Glass Condensate and True Black Disks