Department of Basic Science, University of Tokyo
Mathematical Physics Laboratory, RIKEN
Brookhaven National Laboratory
Yukawa Institute for Theoretical Physics, Kyoto University
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.
内容記述
The XXIX International Symposium on Lattice Field Theory, Lattice 2011, Squaw Valley, Lake Tahoe, California, July 10-16, 2011
雑誌名
The XXIX International Symposium on Lattice Field Theory
巻
2011
ページ
1 - 7
発行年
2011
日本十進分類法
421
出版者
The XXIX International Symposium on Lattice Field Theory
Index theorem and overlap formalism with naive and minimally doubled fermions
Kimura_Lattice2011_106.pdf
(651.47KB)
