Chiral-symmetry breaking in pseudoquantum electrodynamics at finite temperature

Leandro O. Nascimento, Van Sérgio Alves, Francisco Peña, C. Morais Smith, and E. C. Marino
Phys. Rev. D 92, 025018 – Published 13 July 2015

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, in (2+1) dimensions. We show that there is a critical temperature Tc, 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 αc. The ratio between the energy gap and the critical temperature for this model is estimated to be 2π. 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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  • Received 28 March 2015

DOI:https://doi.org/10.1103/PhysRevD.92.025018

© 2015 American Physical Society

Authors & Affiliations

Leandro O. Nascimento1,2,3, Van Sérgio Alves1,2, Francisco Peña4, C. Morais Smith3, and E. C. Marino2

  • 1Faculdade de Física, Universidade Federal do Pará, Avenida Augusto Correa 01, 66075-110, Belém, Pará, Brazil
  • 2Instituto de Física, Universidade Federal do Rio de Janeiro, C.P. 68528, Rio de Janeiro RJ, 21941-972, Brazil
  • 3Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena Utrecht University, Leuvenlaan 4, 3584CE, Utrecht, The Netherlands
  • 4Departamento de Ciencias Físicas, Facultad de Ingeniería, Ciencias y Administracíon, Universidad de La Frontera, Avenida Francisco Salazar, 01145, Casilla 54-D, Temuco, Chile

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Vol. 92, Iss. 2 — 15 July 2015

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