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Proof of chiral symmetry breaking in strongly coupled lattice gauge theory

โœ Scribed by M. Salmhofer; E. Seiler

Publisher
Springer
Year
1992
Tongue
English
Weight
102 KB
Volume
146
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

Proof of chiral symmetry breaking in lat
Proof of chiral symmetry breaking in lattice gauge theory
โœ Manfred Salmhofer; Erhard Seiler ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 366 KB

Using the method of infrared bounds and partial-integration formulas, we prove that there is a chiral phase transition in four-dimensional strongly coupled lattice gauge theory with gauge group U(N) and staggered fermions for all N ~< 5.

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The CP symmetry is not manifestly implemented for the local and doubler-free Ginsparg-Wilson operator in lattice chiral gauge theory. We precisely identify where the effects of this CP breaking appear.

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We address the question of whether the low modes of the Dirac operator are caused by topological objects such as instantons in SU(N) gauge theories. We study the pseudo-scalar density of these modes, finding the size distributions of the instantons, and comparing it with the underlying gauge field.