Abstract
Based on the truncated Dyson-Schwinger equations for fermion and massive boson propagators in QED(3), the fermion chiral condensate and the mass singularities of the fermion propagator via the Schwinger function are investigated. It is shown that the critical point of the chiral phase transition is apparently different from that of the deconfinement phase transition and in Nambu phase the fermion is confined only for small gauge-boson mass.
Highlights
The chiral and deconfinement phase transitions of nonperturbative systems are important issues of continuous interests both theoretically and experimentally
In the BC1 truncated scheme for Dyson–Schwinger equation (DSE), the oscillation of the Schwinger function only appears at small ζ, which denotes the existence of confinement, but it disappears at ζdBcC1 ≈ 0.038, which exhibits that the deconfinement phase transition occurs but here ψψ = 0
The primary goal of this paper is to investigate the chiral and the deconfinement phase transition by application of an Abelian Higgs model through a continuum study of the Schwinger function
Summary
The chiral and deconfinement phase transitions of nonperturbative systems are important issues of continuous interests both theoretically and experimentally. The study of DCSB in QED3 has been an active research subject for nearly 30 years, since Appelquist et al [13] found that DCSB vanishes when the flavor of the massless fermions reaches a critical number Nc ≈ 3.24 They gained this conclusion by solving the truncated Dyson–Schwinger equation (DSE) for the fermion propagator in the chiral limit. The achievement in the research of the mass singularity and confinement in QED3 is caused by a paper of Maris [3] who found that the fermion is confined by the truncated DSE for the full fermion and boson propagators at N < Nc where chiral symmetry is broken Based on the same spirit in this paper, we aim to adopt the truncated DSEs for the full propagators to study the behaviors of the mass singularity and the fermion chiral condensate with a range of gauge-boson mass and try to answer this question
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