Lattice QCD as a theory of interacting surfaces

Details Lattice QCD as a theory of interacting surfaces Lattice QCD as a theory of interacting surfaces

1994-10-03

arxiv.org/abs/hep-th/9410004v1

Phys.Lett. B344 (1995) 293-300

Physics

High Energy Physics

High Energy Physics - Theory

TAUP-2204-94, 12pp., LaTeX

Scientific paper

10.1016/0370-2693(94)01488-X

Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to their common area and is realized by a non-local matrix differential operator acting on their boundaries. The surface self-interaction is given by the QCD$_2$ functional of boundary. Partition functions and observables (Wilson loop averages) are written as an averages over all configurations of an integer-valued field living on a surfaces.

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