Chiral-symmetry breaking in pseudoquantum electrodynamics at finite temperature

Leandro O. Nascimento, Van Sérgio Alves, Francisco Peña, C. Morais Smith, E. C. Marino
2015 Physical Review D  
We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We show that there is a critical temperature T_c, below which chiral symmetry is broken, and a corresponding mass gap is dynamically generated, provided the coupling is above a certain, temperature dependent, critical value α_c. The ratio between the energy gap
more » ... the critical temperature for this model is estimated to be 2 π. These results are confirmed by analytical and numerical investigations of the Schwinger-Dyson equation for the electron. In addition, we calculate the first finite-temperature corrections to the static Coulomb interaction. The relevance of this result in the realm of condensed matter systems, like graphene, is briefly discussed.
doi:10.1103/physrevd.92.025018 fatcat:rr6bg3momrhthkctcbmobbz7ii