Unitary matrix integral for QCD with real quarks and the GOE-GUE crossover
arXiv:2006.10242 · doi:10.1103/PhysRevD.102.034036
Abstract
A unitary matrix integral that appears in the low-energy limit of QCD-like theories with quarks in real representations of the gauge group at finite chemical potential is analytically evaluated and expressed as a pfaffian. Its application to the GOE-GUE crossover in random matrix theory is discussed. An analogous unitary integral for QCD-like theories with quarks in pseudoreal representations of the gauge group is also evaluated.
6 pages. v2: section 5 added. The proof of eq.(49) has been published in Phys.Lett.B 819 (2021) 136416 at https://doi.org/10.1016/j.physletb.2021.136416