Solution of the odderon problem for arbitrary conformal weights

Abstract

A new method is applied to solve the Baxter equation for three coupled, noncompact spins. Due to the equivalence with the system of three reggeized gluons, the intercept of the odderon trajectory is predicted for the first time, as the analytic function of the two relevant parameters.

13 pages, 6 figures, LaTeX

References in corpus (6)

• High energy QCD as a completely integrable model
• Bethe Ansatz for QCD Pomeron,
• Quasiclassical QCD Pomeron
• Baxter Equation for the QCD Odderon
• Modular Invariance and the Odderon
• Lipatov Pomeron and the Heisenberg chain

Cited by in corpus (34)

• The Uses of Conformal Symmetry in QCD
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Odderon in the Color Glass Condensate
• Solution of the Odderon Problem
• The spin dependence of high energy proton scattering
• Duality symmetry of Reggeon interactions in multicolour QCD
• Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Solution of the multi-reggeon compound state problem in multi-colour QCD
• Onium-Onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL Pomeron
• Exact resolution of the Baxter equation for reggeized gluon interactions
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• ${\eta }_c$ production in photon - induced interactions at the AFTER@LHC experiment as a probe of the Odderon
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
• Probing the Odderon in coherent hadron - hadron interactions at CERN LHC
• Multi-reggeon compound states and resummed anomalous dimensions in QCD
• The odderon and spin-flip dependence of high energy proton-proton scattering
• Nonlinear evolution of pomeron and odderon in momentum space
• Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
• Possible probe of the QCD odderon singularity through the quasidiffractive eta_c production in gamma-gamma collisions
• Odd C-P contributions to diffractive processes
• Direct Calculations of the Odderon Intercept in the Perturbative QCD
• BFKL Pomeron in string models
• Baryon scattering at high energies: wave function, impact factor, and gluon radiation
• Duality of Reggeon Interactions in QCD
• BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD
• Local one-dimensional reggeon model of the interaction of pomerons and odderons
• Pomeron fan diagrams in perturbative QCD
• New representation for the odderon wave function
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• High energy scattering in the Regge limit
• Solution of Twist-3 Evolution Equation in Double Logarithmic Approximation in QCD