Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature
arXiv:2009.09017 · doi:10.1103/PhysRevD.103.025018
Abstract
We study the dynamical mass generation in Pseudo Quantum Electrodynamics (PQED) coupled to the Gross-Neveu (GN) interaction, in (2+1) dimensions, at both zero and finite temperatures. We start with a gapless model and show that, under particular conditions, a dynamically generated mass emerges. In order to do so, we use a truncated Schwinger-Dyson equation, at the large-N approximation, in the imaginary-time formalism. In the instantaneous-exchange approximation (the static regime), we obtain two critical parameters, namely, the critical number of fermions and the critical coupling constant as a function of temperature and of the cutoff , which must be provided by experiments. In the dynamical regime, we find an analytical solution for the mass function as well as a zero-external momentum solution for . We compare our analytical results with numerical tests and a good agreement is found.
References in corpus (29)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Topological Insulators
- Quantum Spin Hall Effect in Graphene
- Excitons in atomically thin transition metal dichalcogenides
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- Dirac cones reshaped by interaction effects in suspended graphene
- Interactions and phase transitions on graphene's honeycomb lattice
- Marginal Fermi liquid behavior from 2d Coulomb interaction
- Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
- Direct Determination of Band Gap Renormalization in Photo-Excited Monolayer MoS2
- Graphene via large N I: Renormalization
- Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
- Electromagnetic current correlations in reduced quantum electrodynamics
- Renormalization of Coulomb interaction in graphene: computing observable quantities
- Interaction Induced Quantum Valley Hall Effect in Graphene
- Fermi velocity renormalization and dynamical gap generation in graphene
- Critical behaviour of reduced QED and dynamical fermion gap generation in graphene
- Gauge Dependence of Mass and Condensate in Chirally Asymmetric Phase of Quenched QED3
- Effect of Coulomb interactions on the physical observables of graphene
- Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature
- Renormalization of the band gap in 2D materials through the competition between electromagnetic and four-fermion interactions
- Dynamical fermion mass generation and exciton spectra in graphene
- Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Four-Fermion Interactions
- Critical Number of Flavours in QED
- Vacuum Polarization and Dynamical Chiral Symmetry Breaking: Phase Diagram of QED with Four-Fermion Contact Interaction
- Numerical cancellation of photon quadratic divergence in the study of the Schwinger-Dyson equations in Strong Coupling QED
- Dynamical mass generation for fermions in quenched Quantum Electrodynamics at finite temperature
- Schwinger-Dyson type equations for some QFT models