BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD

Abstract

We consider the QCD scattering amplitudes at high energies sqrt{s} and fixed momentum transfers sqrt{-t} in the leading logarithmic approximation at a non-zero temperature T in the t-channel. It is shown that the BFKL Hamiltonian has the property of holomorphic separability. The Pomeron wave function for arbitrary T is calculated using an integral of motion. In multi-colour QCD, the holomorphic Hamiltonian for n-reggeized gluons at temperature T is shown to coincide with the local Hamiltonian of an integrable Heisenberg model and can be obtained from the T=0 Hamiltonian by an unitary transformation. We discuss the wave functions and the spectrum of intercepts for the colourless reggeon states.

LaTex, 7 pages, no figures. Typo corrected. To appear in Phys. Lett. B

References in corpus (3)

• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
• Exact resolution of the Baxter equation for reggeized gluon interactions

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