Projected Proca Field Theory: a One-Loop Study

Ozela, Rodrigo F.; Alves, Van Sérgio; Marino, E. C.; Nascimento, Leandro O.; Neto, J. F. Medeiros; Ramos, Rudnei O.; Smith, C. Morais

doi:10.48550/arxiv.1907.11339

Cited by 1 publication

(1 citation statement)

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“…Because of that, it has been applied to describe the electromagnetic interaction in 2D materials, such as graphene [43][44][45][46], silicene [47], and transition metal dichalcogenides [47][48][49][50][51]. Within the myriad of results it has given rise to, we allude in hindsight to dynamical mass generation for fermion at zero and finite temperature [52][53][54], interaction-driven quantum valley Hall effect [55], quantum corrections of the electron g-factor [56], electron-hole pairing (excitons) in transition metal dichalcogenides [57,58], optical infrared conductivity of graphene [59], emergence of a dynami-cally generated mass with Gross-Neveu interaction [60], Yukawa potential in the plane [61,62], and PQED cavity effects [63,64].…”

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confidence: 99%

Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane

Ozela,

Alves,

Magalhães

et al. 2021

Preprint

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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.

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