文章基本信息

标题：A Ginsparg Wilson renormalisation group approach to lattice CP symmetry
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作者：N. Cundy
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2010
卷号：2010
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：There is a long standing challenge in lattice QCD concerning the relationship between CPsymmetry and lattice chiral symmetry: naïvely the chiral symmetry transformations are not invariant under CP. With results similar to a recent work by Igarashi and Pawlowski, I show that this is because charge conjugation symmetry has been incorrectly realised on the lattice. The naive approach, to directly use the continuum charge conjugation relations on the lattice, fails because the renormalisation group blockings required to construct a doubler free lattice theory from the continuum are not invariant under charge conjugation. Correctly taking into account the transformation of these blockings leads to a modified lattice CP symmetry for the fermion fields, which, for gauge field configurations with trivial topology, has a smooth limit to continuum CP as the lattice spacing tends to zero. After constructing CP transformations for one particular group of lattice chiral symmetries, I construct a lattice chiral gauge theory which is CP invariant and whose measure is invariant under gauge transformations and CP.