Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD
arXiv:hep-lat/0101016
Abstract
The color-flavor transformation for the unitary group (Zirnbauer 1996) is extended to the special unitary group. The resulting partition function is represented as sum over disconnected sectors characterized by a U(1)-charge. Application to low energy QCD on a lattice leads to a theory where the inverse number of colors appears as expansion parameter. We use a saddle point approximation to estimate the partition function both in the pure mesonic sector and in the case of a single baryon on a mesonic background.
arXiv comment7 pages, no figures, LaTeX2e, to be published in the Proceedings of 15th International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP 2000), Tver, Russia, 14th - 20th September 2000