Proof of chiral symmetry breaking in strongly coupled lattice gauge theory
Dec, 199058 pages
Published in:
- Commun.Math.Phys. 139 (1991) 395-432,
- Commun.Math.Phys. 146 (1992) 637 (erratum)
DOI:
Report number:
- MPI-PAE-PTH-81-90
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Abstract: (Springer)
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.- lattice field theory: strong coupling
- strong coupling: lattice field theory
- gauge field theory: U(N)
- symmetry breaking: chiral
- fermion: condensation
- quantum electrodynamics: massless
- massless: quantum electrodynamics
- Jona-Lasinio-Nambu model
- model: spin
- spin: model
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