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arXiv · 1503.08347

Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature

Leandro O. Nascimento·Van Sérgio Alves·Francisco Peña·C. Morais Smith·E. C. Marino
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Abstract

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 $\alpha_c$. The ratio between the energy gap and the critical temperature for this model is estimated to be $2 \pi$. 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.

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Leandro O. Nascimento, Van Sérgio Alves, Francisco Peña, C. Morais Smith, E. C. Marino. 2015-03-28. Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature. https://doi.org/10.1103/physrevd.92.025018

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