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Large N QCD at High Energies as Two-Dimensional Field Theory | I.Ya. Aref’eva
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1 Jun 1993 | Journal: | Phys.Lett. B328 (1994) 411-419 | Subject: | hep-th | Abstract: | Different 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 | Services: | Forum | Review | PDF | Favorites |
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