2011/10/11 by Taro Kimura, Kimura, Taro, Michael Creutz +3 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Electrodynamics and Casimir Effect #Topological Materials and Phenomena #hep-lat
paper · pdf · doi:10.48550/arxiv.1110.2482
7 pages, 3 figures, presented at 29th International Symposium on Lattice Field Theory, Lattice2011, July 10-16, 2011, Squaw Valley, California, USA
arxiv created 2011/10/11 · openalex publication_date 2011/10/11 · arxiv updated 2011/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a theoretical foundation for the index theorem in naive and\nminimally doubled lattice fermions by studying the spectral flow of a Hermitean\nversion of Dirac operators. We utilize the point splitting method to implement\nflavored mass terms, which play an important role in constructing proper\nHermitean operators. We show the spectral flow correctly detects the index of\nthe would-be zero modes which is determined by gauge field topology and the\nnumber of species doublers. Using the flavored mass terms, we present new types\nof overlap fermions from the naive fermion kernels, with a number of flavors\nthat depends on the choice of the mass terms.\n