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

We reinterpret the JIMWLK/KLWMIJ evolution equation as the QCD Reggeon fieldtheory (RFT). The basic "quantum Reggeon field" in this theory is the unitarymatrix $R$ which represents the single gluon scattering matrix. We discuss thepeculiarities of the Hilbert space on which the RFT Hamiltonian acts. Wedevelop a perturbative expansion in the RFT framework, and find severaleigenstates of the zeroth order Hamiltonian. The zeroth order of thisperturbation preserves the number of $s$ - channel gluons. The eigenstates havea natural interpretation in terms of the $t$ - channel exchanges. Studying thesingle $s$ - channel gluon sector we find the eigenstates which include thereggeized gluon and five other colored Reggeons. In the two ($s$ - channel)gluon sector we study only singlet color exchanges. We find five chargeconjugation even states. The bound state of two reggeized gluons is thestandard 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 BFKLPomeron, but their coupling in perturbation theory is suppressed by at least$1/N^2$ relative to the double BFKL Pomeron exchange. For the $[27,27]$ Pomeronwe find $\omega_{[27,27]}=2\omega+O(1/N)>2\omega$. We also find three chargeconjugation odd exchanges, one of which is the unit interceptBartels-Lipatov-Vacca Odderon, while another one has an interecept greater thanunity. We explain in what sense our calculation goes beyond the standardBFKL/BKP calculation. We make additional comments and discuss open questions inour approach.Comment: 58 pages, 4 figures, Extended version. To appear in JHE