Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach

TL;DR

This paper uses a pseudo-epsilon expansion method to accurately estimate crossover exponents in O(n) models, aligning well with existing theoretical and experimental data.

Contribution

It introduces a refined pseudo-epsilon expansion approach to determine crossover exponents in O(n) models, improving accuracy over previous methods.

Findings

Most accurate theoretical estimates obtained

Excellent agreement with experimental results

Enhanced understanding of harmonic operators in O(n) models

Abstract

We determine the crossover exponents associated with the traceless tensorial quadratic field, the third- and fourth-harmonic operators for O(n) vector models by re-analyzing the existing six-loop fixed dimension series with pseudo-epsilon expansion. Within this approach we obtain the most accurate theoretical estimates that are in optimum agreement with other theoretical and experimental results.