Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED

Autor(es)

Casimiro Olivares, Juan Angel ; Albino, Luis ; Mizher, Ana Julia ; Raya, Alfredo

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 102, n. 9, p. 9-pg., 2020-11-24.

Resumo

Mixed-dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four dimensional. Here we investigate dynamical breaking of chiral symmetry in the framework of a mixed-dimensional theory that has been successful in describing graphene and other planar Dirac materials and has been dubbed pseudo or reduced quantum electrodynamics. We explore the interplay between the gauge and fermion sectors when a Chern-Simons term is considered and, by exploring the tensor structure of the fermion self-energy, we show that the radiative corrections may induce both a Dirac and a Haldane mass term. Furthermore, by solving the corresponding Schwinger-Dyson equation in a suitable truncation, we nonperturbatively explore the dynamical generation of fermion masses for different values of the electromagnetic coupling and the Chern-Simons coefficient. We also show that for definite parameter values, the contributions from each chirality cancel out and the chiral symmetry may be restored. Possible implications of this result for physical systems, in particular on what concerns the chiral magnetic effect, are discussed. (AU)

• Processo FAPESP: 16/12705-7 - Campos magnéticos em colisões de íons pesados: efeitos em observáveis
• Beneficiário: Ana Júlia Silveira Mizher
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 18/17643-5 - Descrição de mésons leves com as equações de Schwinger-Dyson da cromodinâmica quântica
• Beneficiário: Luis Albino Fernandez Rangel
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado