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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance ComputingLecture Notes of the Les Houches Summer School: Volume 93, August 2009$
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Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo

Print publication date: 2011

Print ISBN-13: 9780199691609

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199691609.001.0001

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Chiral symmetry and lattice fermions

Chiral symmetry and lattice fermions

Chapter:
(p.223) 4 Chiral symmetry and lattice fermions
Source:
Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing
Author(s):

David B. Kaplan

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199691609.003.0004

This chapter discusses chiral symmetry in quantum field theories with fermions, and how to represent the fermions in lattice regularizations so as to preserve the symmetry to the fullest extent possible. The importance of anomalies as a guide and constraint on how lattice theories can realize chiral symmetries is emphasized. These considerations lead to the construction of Domain Wall and Overlap fermions, and a discussion of the Ginsparg-Wilson equation.

Keywords:   Chiral symmetry, lattice field theory, anomalies, domain wall fermions, overlap fermions, Ginsparg-Wilson equation

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