An intriguing connection between Pisarski's fixed point and (2+3)-spin glasses

Abstract

This paper aims to establish a connection between Pisarski's fixed point and a (2+3)-spin-glass model with sextic confinement potential. This is made possible by the unconventional power-counting induced by the effective kinetics provided by the disorder coupling in the large $N$-limit. Because of the absence of epsilon expansion, our approach is more attractive than the previous one. It may be relevant to the signal detection issue in nearly continuous spectra.

7 pages, 9 figures. The presentation of the result is improved

References in corpus (2)

• Local semicircle law and complete delocalization for Wigner random matrices
• Signal detection in nearly continuous spectra and symmetry breaking

Cited by in corpus (1)

• Functional Renormalization for Signal Detection: Dimensional Analysis and Dimensional Phase Transition for Nearly Continuous Spectra Effective Field Theory