2021/10/03 by Rodrigo F. Ozela, Van Sérgio Alves, Gabriel C. Magalhães +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Chern–Simons theory #Coupling constant #Effective mass (spring–mass system) #Electron #Fermion #Gauge theory #Mass generation #Massless particle #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantum mechanics #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1103/physrevd.105.056004
arxiv created 2021/10/03 · openalex publication_date 2022/03/07 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Chiral symmetry breaking comes from the mass dynamically generated through interaction of Dirac fermions for both quantum electrodynamics in (2+1)D (QED3) and (3+1)D (QED4). In QED3, the presence of a Chern-Simons (CS) parameter affects the critical structure of the theory, favoring the symmetric phase where the electron remains massless. Here, we calculate the main effects of a Pseudo-Chern-Simons (PCS) parameter θ into the dynamical mass generation of Pseudo quantum electrodynamics (PQED). The θ-parameter provides a mass scale for PQED at classical level and appears as the pole of the gauge-field propagator. After calculating the full electron propagator with the Schwinger-Dyson equation at quenched-rainbow and large-N approximations, we conclude that θ affects the critical parameters related to the fine-structure constant, αc(θ), and to the number of copies of the matter field, Nc(θ), by favoring the symmetric phase. In the continuum limit (Λ→ ∞), nevertheless, the θ-parameter do not affect the critical parameters. We also compare our analytical results with numerical findings of the integral equation for the mass function of the electron.