Critical exponents of model with matrix order parameter from resummation of six-loop results for anomalous dimensions

TL;DR

This paper applies advanced resummation techniques to six-loop series in the $O(n)$-symmetric $$ model with an antisymmetric tensor order parameter, providing insights into its critical exponents.

Contribution

It introduces the use of Borel-Pade and Borel-Leroy resummation methods with conformal mapping for models with multiple couplings, specifically applied to the tensor order parameter case.

Findings

Calculated critical exponents for the model.

Demonstrated effectiveness of resummation techniques for complex series.

Provided numerical results for the antisymmetric tensor model.

Abstract

In this contribution an application of two techniques for resummation of asymptotic series namely Borel-Pade technique and Borel-Leroy technique with conformal mapping to the case of a model with multiple coupling constants will be discussed and the results of application of this methods to the $O(n)$-symmetric $\phi^{4}$ model with an antisymmetric tensor order parameter will be presented.