Continuum study of various susceptibilities within thermal QED${}_3$

Abstract

In this paper, the relations of four different susceptibilities (i.e., the chiral susceptibility, the fermion number susceptibility, the thermal susceptibility and the staggered spin susceptibility) are investigated both in and beyond the chiral limit. To this end, we numerically solve the finite temperature version of the truncated Dyson-Schwinger equations for fermion and boson propagator. It is found that, in the chiral limit, the four susceptibilities give the same critical temperature and signal a typical second order phase transition. But the situation changes beyond the chiral limit: the critical temperatures from the chiral and the thermal susceptibilities are different, which shows that to define a critical region instead of an exclusive point for crossover might be a more suitable choice; meanwhile, both the fermion number and the staggered spin susceptibilities have no singular behaviors any more, this may mean that they are no longer available to describe the crossover properties of the system.

10 pages, 8 figures

References in corpus (9)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Color superconductivity in dense quark matter
• The QCD transition temperature: results with physical masses in the continuum limit
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• The calculation of the equation of state of QCD at finite chemical potential and zero temperature
• A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation

Cited by in corpus (5)

• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field
• Infrared behavior of dynamical fermion mass generation in QED${}_3$
• Nonperturbative solutions of Dyson-Schwinger equations in QED${}_3$