Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution

Abstract

We reinterpret the JIMWLK/KLWMIJ evolution equation as the QCD Reggeon field theory (RFT). The basic "quantum Reggeon field" in this theory is the unitary matrix $R$ which represents the single gluon scattering matrix. We discuss the peculiarities of the Hilbert space on which the RFT Hamiltonian acts. We develop a perturbative expansion in the RFT framework, and find several eigenstates of the zeroth order Hamiltonian. The zeroth order of this perturbation preserves the number of $s$ - channel gluons. The eigenstates have a natural interpretation in terms of the $t$ - channel exchanges. Studying the single $s$ - channel gluon sector we find the eigenstates which include the reggeized gluon and five other colored Reggeons. In the two ($s$ - channel) gluon sector we study only singlet color exchanges. We find five charge conjugation even states. The bound state of two reggeized gluons is the standard BFKL Pomeron. The intercepts of the other Pomerons in the large $N$ limit are $1+{\omega }_P=1+2\omega$ where $1+\omega$ is the intercept of the BFKL Pomeron, but their coupling in perturbation theory is suppressed by at least $1/N^2$ relative to the double BFKL Pomeron exchange. For the $[27,27]$ Pomeron we find ${\omega }_{[27,27]}=2\omega +O(1/N)>2\omega$. We also find three charge conjugation odd exchanges, one of which is the unit intercept Bartels-Lipatov-Vacca Odderon, while another one has an interecept greater than unity. We explain in what sense our calculation goes beyond the standard BFKL/BKP calculation. We make additional comments and discuss open questions in our approach.

58 pages, 4 figures, Extended version. To appear in JHEP

References in corpus (40)

• Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
• Odderon in the Color Glass Condensate
• A Langevin equation for high energy evolution with pomeron loops
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• Effective Hamiltonian for QCD evolution at high energy
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Unintegrated gluon distribution from modified BK equation
• Non-linear QCD evolution with improved triple-pomeron vertices
• From target to projectile and back again: selfduality of high energy evolution
• Soft gluons at large angles in hadron collisions
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• Pomeron Vertices in Perturbative QCD in Diffractive Scattering
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• High-enegy effective action from scattering of QCD shock waves
• Remarks on High Energy Evolution
• Scattering of shock waves in QCD
• The Odderon in Quantum Chromodynamics
• Dense-Dilute Duality at work: dipoles of the target
• More Remarks on High Energy Evolution
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Duality and Pomeron effective theory for QCD at high energy and large N_c
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• Nonlinear k_\perp-factorization for Gluon-Gluon Dijets Produced off Nuclear Targets
• Traveling waves and geometric scaling at non-zero momentum transfer
• 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
• Hadron collisions and the fifth form factor
• On the Projectile-Target Duality of the Color Glass Condensate in the Dipole Picture
• Color dipoles from Bremsstrahlung in QCD evolution at high energy
• QCD traveling waves at non-asymptotic energies
• Hot QCD, k-strings and the adjoint monopole gas model
• On the Wess-Zumino term in high energy QCD
• Parametric form of QCD travelling waves
• Gauge invariant source terms in QCD
• On the behaviour of single scale hard small $x$ processes in QCD near the black disc limit
• Tachyon dynamics of the black disc limit in the hard small $x$ processes in QCD
• On the initial condition for evolution of the perturbative QCD Pomeron in the nucleus
• High energy scattering in QCD: dipole approach with Pomeron loops

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