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

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 are very important when one studies the staggered spin susceptibility corresponding to the antiferromagnetic correlation in both the Nambu phase and Wigner phase.

Figure 1

The momentum dependence of $A(p^2)$ with $N=2$ in both the Nambu phase and Wigner phase.

Figure 2

The momentum dependence of $B(p^2)$ with $N=2$ in the Nambu phase.

Figure 3

The dependence of $⟨S^Z{S}^Z{⟩}_R$ on the number of fermion flavors in both the Wigner phase and DCSB phase in the low-energy limit.

Figure 4

The momentum dependence of $A(p^2)$ with $N=3$ in both the Nambu phase and Wigner phase.