Spontaneous symmetry breaking in fermionic random matrix model

Abstract

A fermionic random matrix model, which is a 0-dimensional version of the SYK model with replicas, is considered. The replica-off-diagonal correlation functions vanish at finite N, but we show that they do not vanish in the large N limit due to spontaneous symmetry breaking. We use the Bogoliubov quasi-averages approach to studying phase transitions. The consideration may be relevant to the study of the problem of existence of the spin glass phase in fermionic models.

14 pages, 4 figures

References in corpus (6)

• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Does the SYK model have a spin glass phase?
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Cited by in corpus (3)

• Spectral form factor in the double-scaled SYK model
• Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
• Revealing nonperturbative effects in the SYK model