期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2022)163
关键词
1/N Expansion; Matrix Models
资金
- Investissements d'Avenir program, Project ISITE-BFC [ANR-15-IDEX-0003]
- EIPHI Graduate School [ANR-17-EURE-0002]
- Bourgogne-Franche-Comte region
We study generalizations of the Gross-Witten-Wadia unitary matrix model for the special orthogonal and symplectic groups. We show that in the large N limit, the normalized free energy is twice the value for the unitary case, and we demonstrate the universality of this result for an arbitrary number of coupling constants using generalized Cauchy identities.
We study generalizations of the Gross-Witten-Wadia unitary matrix model for the special orthogonal and symplectic groups. We show using a standard Coulomb gas treatment - employing a path integral formalism for the ungapped phase and resolvent techniques for the gapped phase with one coupling constant - that in the large N limit, the free energy normalized modulo the square of the gauge group rank is twice the value for the unitary case. Using generalized Cauchy identities for character polynomials, we then demonstrate the universality of this phase transition for an arbitrary number of coupling constants by linking this model to the random partition based on the Schur measure.
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