Color flavor transformation for the special unitary group and application to low-energy QCD
Sep, 20007 pages
Part of High energy physics and quantum field theory. Proceedings, 15th International Workshop, QFTHEP 2000, Tver, Russia, September 14-20, 2000, 317-322
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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.Note:
- 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
- talk: Tver 2000/09/14
- color: flavor
- partition function
- charge: U(1)
- gauge field theory: SU(N)
- lattice field theory
- expansion: color
- saddle-point approximation
- baryon: static
- expansion: gradient
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