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

H. J. de Vega; L. N. Lipatov

doi:10.1016/j.physletb.2003.10.064

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arXiv · hep-ph/0310124

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

H. J. de Vega·L. N. Lipatov

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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.

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H. J. de Vega, L. N. Lipatov. 2003-11-12. BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD. https://doi.org/10.1016/j.physletb.2003.10.064

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