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 |
|---|---|
| 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 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Characters of lattice fermions based on the hyperdiamond lattice. / Kimura, Taro; Misumi, Tatsuhiro.
In: Progress of Theoretical Physics, Vol. 124, No. 3, 09.2010, p. 415-432.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Characters of lattice fermions based on the hyperdiamond lattice
AU - Kimura, Taro
AU - Misumi, Tatsuhiro
PY - 2010/9
Y1 - 2010/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78650241851&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650241851&partnerID=8YFLogxK
U2 - 10.1143/PTP.124.415
DO - 10.1143/PTP.124.415
M3 - Article
AN - SCOPUS:78650241851
VL - 124
SP - 415
EP - 432
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 3
ER -