Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature

摘要

We use the Schwinger-Dyson equations in the presence of a thermal bath, inorder to study chiral symmetry breaking in a system of massless Dirac fermionsinteracting through pseudo quantum electrodynamics (PQED3), in (2+1)dimensions. We show that there is a critical temperature $T_c$, below whichchiral symmetry is broken, and a corresponding mass gap is dynamicallygenerated, provided the coupling is above a certain, temperature dependent,critical value $\alpha_c$. The ratio between the energy gap and the criticaltemperature for this model is estimated to be $2 \pi$. These results areconfirmed by analytical and numerical investigations of the Schwinger-Dysonequation for the electron. In addition, we calculate the firstfinite-temperature corrections to the static Coulomb interaction. The relevanceof this result in the realm of condensed matter systems, like graphene, isbriefly discussed.