Chiral symmetry breaking in the pseudo-quantum electrodynamics with non-Abelian four-fermion interactions

2024/05/16 by Qiao Hua Yang, Yang, Qiao, Yu‐Biao Wu +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2405.09853

openalex publication_date 2024/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the context of 2+1 dimensional Dirac materials, we consider electromagnetic interactions alongside a type of spin-dependent Hubbard interaction. The former is described by PQED theory, while the latter corresponds to an effective theory represented by the SU(N_c) Thirring model. Employing Hubbard-Stratonovich transformation and large N expansion in the model yields a non-local SU(N_c) Yang-Mills action. Subsequently, we solve Schwinger-Dyson equations to obtain the self-energy function of the fermion propagator, from which we determine the critical fermion flavor number N^c_f and critical fine structure constant α_c indicative of chiral symmetry breaking. Our findings suggest that as the non-Abelian color number N_c increases, the minimum value of the critical fermion flavor number monotonically increases, while the maximum value of the critical fine structure constant decreases accordingly, rendering the system more susceptible to chiral symmetry breaking.

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