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2010

Classification of Minimally Doubled Fermions

Creutz, Michael, Misumi, Tatsuhiro

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We propose a method to control the number of species of lattice fermions which yields new classes of minimally doubled lattice fermions.

We show it is possible to control the number of species by handling $O(a)$ Wilson-term-like corrections in fermion actions, which we will term ``Twisted-ordering Method".
Using this method we obtain new minimally doubled actions with one exact chiral symmetry and exact locality.
We classify the known minimally doubled fermions into two types based on the locations of the propagator poles in the Brillouin zone.

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M. Creutz, PoS LATTICE2008, (2008) [arXiv:0808.0014]

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P. F. Bedaque, M. I. Buchoff, B. C. Tiburzi and A. Walker-Loud, Phys. Lett. B 662

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T. Kimura and T. Misumi, to appear in Prog. Theor. Phys. [arXiv:0907.1371 [hep-lat]]

Cited in the paper.

2009

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S. Capitani, M. Creutz, J. Weber, H. Wittig, (2010) [arXiv:1006.2009]

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T. Kimura and T. Misumi, Prog. Theor. Phys. 123

2010

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