Critical behavior of $U(n)$-$\chi^{4}$-model with antisymmetric tensor order parameter coupled with magnetic field

TL;DR

This paper investigates the critical behavior of a $U(n)$-$ ext{}\chi^{4}$-model with an antisymmetric tensor order parameter under magnetic field, revealing the absence of infrared fixed points and gauge dependence of the anomalous dimension.

Contribution

It provides a field theoretic renormalization group analysis of the model's critical behavior, highlighting the lack of infrared fixed points in the charged regime.

Findings

No infrared attractive fixed points in the charged regime

Anomalous dimension is gauge dependent

Critical behavior differs from standard models

Abstract

The critical behavior of $U(n)$-$\chi^{4}$-model with antisymmetric tensor order parameter at charged regime is studied by means of the field theoretic renormalization group at the leading order of $\varepsilon$-expansion (one-loop approximation). It is shown that renormalization group equations have no infrared attractive charged fixed points. It is also shown that anomalous dimension of the order parameter in charged regime appears to be gauge dependent.