Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD
Abstract
Description
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.
7 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
7 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