Color-Flavor Transformation for the Special Unitary Group
High Energy Physics - Lattice
2009-11-07 v2 Condensed Matter
High Energy Physics - Theory
Abstract
We extend Zirnbauer's color-flavor transformation in the fermionic sector to the case of the special unitary group. The transformation allows a certain integral over SU(N_c) color matrices to be transformed into an integral over flavor matrices which parameterize the coset space U(2N_f)/U(N_f)xU(N_f). Integrals of the type considered appear, for example, in the partition function of lattice gauge theory.
Keywords
Cite
@article{arxiv.hep-lat/0111039,
title = {Color-Flavor Transformation for the Special Unitary Group},
author = {B. Schlittgen and T. Wettig},
journal= {arXiv preprint arXiv:hep-lat/0111039},
year = {2009}
}
Comments
19 pages, 2 figures; typos fixed, normalization corrected, some arguments improved, appendix with special cases added; version to appear in Nucl. Phys. B