Influence of gauge boson mass on the staggered spin susceptibility

TL;DR

This paper investigates how a finite gauge boson mass influences the staggered spin susceptibility in quantum field theory, revealing suppression effects and providing insights into antiferromagnetic correlations at low doping levels.

Contribution

It introduces a Dyson-Schwinger framework to analyze the impact of gauge boson mass on spin susceptibility in different phases, a novel approach in this context.

Findings

Gauge boson mass suppresses staggered spin susceptibility in Wigner phase.

The study offers an explanation for increased antiferromagnetic correlations at lower doping.

Provides a theoretical understanding of spin dynamics influenced by gauge boson mass.

Abstract

Based on the study of the linear response of the fermion propagator in the presence of an external scalar field, we calculate the staggered spin susceptibility in the low energy limit in the framework of the Dyson-Schwinger approach. We analyze the effect of a finite gauge boson mass on the staggered spin susceptibility in both Nambu phase and Wigner phase. It is found that the gauge boson mass suppresses the staggered spin susceptibility in Wigner phase. In addition, we try to give an explanation for why the antiferromagnetic spin correlation increases when the doping is lowered.