1994/11/18 by Michael Creutz · 34 citations
Mathematics · Physics and Astronomy · #Chiral anomaly #Chiral symmetry #Condensed matter physics #Fermion #Geometry #Lattice (music) #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #Theoretical physics #hep-lat
paper · pdf · doi:10.1016/0920-5632(95)00187-e
published in Nuclear Physics B - Proceedings Supplements 42(1-3), 56-66 (Elsevier BV) · Eleven pages, uuencoded compressed tar file. Contribution to Lat94, 27 Sep -- 1 Oct 1994, Bielefeld, Germany. Also available at http://penguin.phy.bnl.gov/www/papers/61011.ps.Z
arxiv created 1994/11/18 · openalex publication_date 1995/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.