Dynamical breakdown of symmetries in three-dimensional QED

Rao, Sumathi ; Yahalom, Ram (1986) Dynamical breakdown of symmetries in three-dimensional QED Physical Review D, 34 (4). pp. 1194-1196. ISSN 0556-2821

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Official URL: https://journals.aps.org/prd/abstract/10.1103/Phys...

Related URL: http://dx.doi.org/10.1103/PhysRevD.34.1194


We analyze the possibility of dynamical breakdown of parity in three-dimensional QED. We find that for an even number of fermions only chiral symmetry is broken dynamically while parity is conserved. For an odd number of fermions, where a parity-conserving mass generation is not possible, we find no consistent nontrivial solution for the Schwinger-Dyson equations, leading us to conjecture that at least one fermion remains massless and no mass is induced for the photon in this case.

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