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Dynamical breakdown of symmetries in three-dimensional QED

Journal Article · · Phys. Rev. D; (United States)
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.
Research Organization:
Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
DOE Contract Number:
AC03-81ER40050
OSTI ID:
5569933
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:4; ISSN PRVDA
Country of Publication:
United States
Language:
English