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.
CP breaking in lattice chiral gauge theory
โ Scribed by Kazuo Fujikawa; Masato Ishibashi; Hiroshi Suzuki
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 226 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0920-5632
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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.
The methods of lattice gauge theory may be applied to gauge theories besides QCD, in fact to any gauge group and any representation of matter fields (as long as the coupling is not chiral). Such theories are useful for model building beyond the Standard Model, for instance in technicolor models. We