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Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD

J. Budczies·Y. Shnir
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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.

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J. Budczies, Y. Shnir. 2001-04-13. Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD. https://arxiv.org/abs/hep-lat/0101016

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