Functional renormalization group equations for antisymmetric tensor field models at finite temperature

TL;DR

This paper derives finite-temperature functional renormalization group equations for antisymmetric tensor field models, analyzing symmetry breaking patterns and phase transitions in complex systems.

Contribution

It introduces new flow equations for antisymmetric tensor models at finite temperature, enhancing understanding of their scale-dependent behavior and symmetry breaking.

Findings

Derived flow equations for antisymmetric tensor models at finite temperature.

Analyzed symmetry breaking patterns $SU(n) o USp(n)$ and $SO(n) o SU(n/2)$.

Provided insights into phase transitions in complex symmetry systems.

Abstract

Within the framework of the functional renormalization group, we derived the flow equations for the scale-dependent effective action at finite temperature for models involving an antisymmetric rank-2 tensor field. The analysis focuses on scenarios where the vacuum expectation value emerges due to symmetry breaking patterns, specifically $SU(n) \to USp(n)$ and $SO(n) \to SU(n/2)$. The derived equations provide insights into the behavior of these models under varying scales and temperatures, contributing to the understanding of phase transitions in systems with complex symmetry structures.