Abstract
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 also propose a class of minimal-doubling actions defined on a deformed hypercubic lattice as a generalization of Creutz-type actions. In addition we introduce a two-parameter class of Wilczek-type minimal-doubling actions.
Original language | English |
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Pages (from-to) | 415-432 |
Number of pages | 18 |
Journal | Progress of Theoretical Physics |
Volume | 124 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 Sep |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)