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29 March 2024
 
  » arxiv » hep-th/9306014

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Large N QCD at High Energies as Two-Dimensional Field Theory
I.Ya. Aref’eva ;
Date 1 Jun 1993
Journal Phys.Lett. B328 (1994) 411-419
Subject hep-th
AbstractDifferent aspects of the Verlinde and Verlinde relation between high-energy effective scattering in QCD and a two-dimensional sigma-model are discussed. Starting from a lattice version of the truncated 4-dimensional Yang-Mills action we derive an effective theory with non-trivial longitudinal dynamics which has a form of the lattice two-dimensional chiral field model with non-trivial boundary conditions. To get quantum corrections coming from non-trivial longitudinal dynamics to transversal high-energy effective action one has to solve the two-dimensional chiral field model with non-trivial boundary conditions. We do this within an approximation scheme which takes into account one-dimensional excitations. Contributions of the one-dimensional excitations to quantum corrections for the high-energy effective action are calculated in the large N limit using the character expansion method.
Source arXiv, hep-th/9306014
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