Thermodynamic limit and dispersive regularization in matrix models

Benassi, Costanza and Moro, Antonio (2020) Thermodynamic limit and dispersive regularization in matrix models. Physical Review E, 101 (5). 052118. ISSN 2470-0045

Preview	Text Benassi_Moro.pdf - Published Version Download (554kB) | Preview
Preview	Text Benassi_Moro_revised15.pdf - Accepted Version Download (1MB) | Preview

Abstract

We show that Hermitian matrix models support the occurrence of a phase transition characterized by dispersive regularization of the order parameter near the critical point. Using the identification of the partition function with a solution of the reduction of the Toda hierarchy known as the Volterra system, we argue that the singularity is resolved by the onset of a multidimensional dispersive shock of the order parameter in the space of coupling constants. This analysis explains the origin and mechanism leading to the emergence of chaotic behaviors observed in

Actions (login required)

View Item

Downloads