Calculation of the staggered spin correlation in the framework of the Dyson-Schwinger approach

TL;DR

This paper derives a new, model-independent expression for staggered spin susceptibility using the Dyson-Schwinger approach, emphasizing the importance of nonperturbative effects in antiferromagnetic correlations.

Contribution

It introduces a novel expression for staggered spin susceptibility that includes the full pseudoscalar vertex function, differing from previous literature.

Findings

Nonperturbative dressing effects are crucial for accurate susceptibility calculations.

Numerical results highlight significant differences from perturbative approaches.

Antiferromagnetic correlations are strongly influenced by fermion propagator dressing.

Abstract

Based on the linear response of the fermion propagator with respect to an external field, we first derive a model-independent expression for the staggered spin susceptibility in which the influence of the full pseudoscalar vertex function is included. This expression for the staggered spin susceptibility is quite different from that given in the previous literature. The numerical values of the staggered spin susceptibility are calculated within the framework of the Dyson-Schwinger approach. Our numerical result shows that the nonperturbative dressing effects on the fermion propagator is very important when one studies the staggered spin susceptibility which corresponding to antiferromagnetic correlation in both Nambu phase and Winger phase.