Proof of chiral symmetry breaking in strongly coupled lattice gauge theory |
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Authors: | Manfred Salmhofer Erhard Seiler |
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Institution: | 1. Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg Institut, F?hringer Ring 6, W-8000, München 40, Federal Republic of Germany
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Abstract: | We study chiral symmetry in the strong coupling limit of lattice gauge theory with staggered fermions and show rigorously
that chiral symmetry is broken spontaneously in massless QED and the gauge-invariant Nambu-Jona-Lasinio model if the dimension
of spacetime is at least four. The results for the chiral condensate as a function of the mass imply that the mean-field approximation
is an upper bound for this observable which becomes exact as the dimension goes to infinity. For the model with gauge groupU(N),N=2,3,4, we prove that chiral long-range order exists at zero mass in four or more dimensions.
Address after August 1991: Mathematics Department, University of British Columbia, Vancouver, Canada V6T1Y4 |
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