Index theorem and overlap formalism with naive and minimally doubled fermions

Taro Kimura, Michael Creutz, Tatsuhiro Misumi

研究成果: Conference article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ジャーナルProceedings of Science
139
出版ステータスPublished - 2011 1 1
イベント29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
継続期間: 2011 7 102011 7 16

ASJC Scopus subject areas

  • 一般

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