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Chiral symmetry on the lattice

Abstract

I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor contrasts sharply with the case of more, where a residual chiral symmetry survives anomalies. I briefly discuss the surface mode approach, the use of mirror Fermions to cancel anomalies, and finally speculate on the problems with lattice versions of the standard model. ((orig.)).
Authors:
Creutz, M [1] 
  1. Brookhaven National Lab., Upton, NY (United States). Physics Dept.
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662120; 662110; PA: AIX-26:064483; EDB-95:132558; SN: 95001458482
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; CHIRAL SYMMETRY; LATTICE FIELD THEORY; CHIRALITY; STANDARD MODEL; CURRENT DIVERGENCES; ENERGY SPECTRA; FERMIONS; FLAVOR MODEL; HAMILTONIANS; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; RENORMALIZATION; REST MASS; SYMMETRY BREAKING
OSTI ID:
101207
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF593064483
Submitting Site:
NLN
Size:
pp. 56-66
Announcement Date:
Oct 05, 1995

Citation Formats

Creutz, M. Chiral symmetry on the lattice. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00187-E.
Creutz, M. Chiral symmetry on the lattice. Netherlands. https://doi.org/10.1016/0920-5632(95)00187-E
Creutz, M. 1995. "Chiral symmetry on the lattice." Netherlands. https://doi.org/10.1016/0920-5632(95)00187-E.
@misc{etde_101207,
title = {Chiral symmetry on the lattice}
author = {Creutz, M}
abstractNote = {I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor contrasts sharply with the case of more, where a residual chiral symmetry survives anomalies. I briefly discuss the surface mode approach, the use of mirror Fermions to cancel anomalies, and finally speculate on the problems with lattice versions of the standard model. ((orig.)).}
doi = {10.1016/0920-5632(95)00187-E}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}