Index theorem and overlap formalism with naive and minimally doubled fermions

Michael Creutz, Taro Kimura, Tatsuhiro Misumi

研究成果: Article査読

22 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. 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. We succeed to obtain a single-flavor naive overlap fermion which maintains hypercubic symmetry.

本文言語English
論文番号41
ジャーナルJournal of High Energy Physics
2010
12
DOI
出版ステータスPublished - 2010

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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