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Characters of Lattice Fermions Based on the Hyperdiamond Lattice · Around

2009

Characters of Lattice Fermions Based on the Hyperdiamond Lattice

Kimura, Taro, Misumi, Tatsuhiro

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We study minimal-doubling fermion actions on hyperdiamond and deformed hyperdiamond lattices, with emphasis on the real-space construction of them and Lorentz covariance of excitations from fermion poles.

We propose the improved spatial construction of Creutz fermion action on a deformed hyperdiamond lattice, and discuss conditions for a hyperdiamond-lattice action to produce Lorentz-covariant excitations from poles of fermion propagators.
It is pointed out that the non-nearest-site hoppings are essential for the correct excitations.
We propose a class of minimal-doubling actions defined on a deformed hypercubic lattice as a generalization of Creutz-type actions.

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P. F. Bedaque, M. I. Buchoff, B. C. Tiburzi, and A. Walker-Loud, Search for Fermion Actions on Hyperdiamond Lattices
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2008
Later among the works it cites.
K. Cichy, J. Gonzalez Lopez, K. Jansen, A. Kujawa, and A. Shindler, Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
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K. Cichy, J. Gonzalez Lopez, and A. Kujawa, A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory
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