Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-10-10
Phys.Lett.B578:335-340,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTex, 7 pages, no figures. Typo corrected. To appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2003.10.064
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.
de Vega Hector J.
Lipatov Lev N.
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