Index theorem and overlap formalism with naive and minimally doubled fermions

Taro Kimura, Michael Creutz, Tatsuhiro Misumi

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

We present a theoretical foundation for the index theorem in naive and minimally doubled lattice fermions by studying the spectral flow of a Hermitean version of Dirac operators. We utilize the point splitting method to implement flavored mass terms, which play an important role in constructing proper Hermitean operators. We show the spectral flow correctly detects the index of the would-be zero modes which is determined by gauge field topology and the number of species doublers. Using the flavored mass terms, we present new types of overlap fermions from the naive fermion kernels, with a number of flavors that depends on the choice of the mass terms.

Original languageEnglish
JournalProceedings of Science
Volume139
Publication statusPublished - 2011 Jan 1
Externally publishedYes
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: 2011 Jul 102011 Jul 16

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theorems
fermions
formalism
operators
topology

ASJC Scopus subject areas

  • General

Cite this

Index theorem and overlap formalism with naive and minimally doubled fermions. / Kimura, Taro; Creutz, Michael; Misumi, Tatsuhiro.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

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