Staggered spin susceptibility and chiral phase transition in thermalQED3

Abstract

Based on the truncated Dyson--Schwinger equation, we first study the influence of the vertex correction on the staggered spin susceptibility ${\ensuremath{\chi}}^{s}$. The numerical results show that the vertex correction plays an important role in the study of the staggered spin susceptibility. We then generalize the above work to the case of finite temperature. It is found for the first time that, as the temperature increases, the chiral condensate vanishes at the phase transition point where ${\ensuremath{\chi}}^{s}$ reveals an obvious skip, and therefore as a physical observable, the staggered spin susceptibility could be regarded as the order parameter of chiral phase transition in ${\mathrm{QED}}_{3}$.