Solvable quantum Grassmann matrices

• Published in: Journal of statistical mechanics Vol. 2017; no. 4; pp. 43102 - 43122
• Main Authors: Anninos, D, Silva, G A
• Format: Journal Article
• Language: English
• Published: IOP Publishing and SISSA 03.04.2017

We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of an ordinary bosonic integral, which has an eigenvalue repulsi...