Summary
An extension of theT=0 theory based on the nonperturbative gauge technique is used to investigate broken chiral symmetry in standard Quantum Electrodynamics in 2+1 space at finite temperatures. We employ a simple linearizing approximation of the Dyson-Schwinger equation to show that chiral-symmetry breaking prevails for a range of temperatures. We are also able to demonstrate that the theory exhibits a transition to a massless phase at a temperature given by the infrared regulator mass. The indication of a phase transition is borne out by a detailed analysis of the solution to the approximate gap equation for the dynamical electron mass.
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Swamy, P.N. Broken chiral symmetry in 2+1 quantum electrodynamics at finite temperature. Nuov Cim A 109, 31–43 (1996). https://doi.org/10.1007/BF02734427
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DOI: https://doi.org/10.1007/BF02734427