Chapter

Chiral symmetry and lattice fermions

David B. Kaplan

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Published in print August 2011 | ISBN: 9780199691609
Published online January 2012 | e-ISBN: 9780191731792 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691609.003.0004

Series: Lecture Notes of the Les Houches Summer School

Chiral symmetry and lattice fermions

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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

Chapter.  26212 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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