2(D)-COMPONENT FERMION ON A (1-DIMENSIONAL EUCLIDEAN LATTICE WITH DISCRETE CHIRAL SYMMETRIES(D))

Citation
M. Horibe et al., 2(D)-COMPONENT FERMION ON A (1-DIMENSIONAL EUCLIDEAN LATTICE WITH DISCRETE CHIRAL SYMMETRIES(D)), Physical review. D. Particles and fields, 56(9), 1997, pp. 6006-6009
Citations number
7
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
56
Issue
9
Year of publication
1997
Pages
6006 - 6009
Database
ISI
SICI code
0556-2821(1997)56:9<6006:2FOA(E>2.0.ZU;2-3
Abstract
We formulate the Dirac equation by a proficient method on a (1+D)-dime nsional Euclidean lattice and get some new results. First, the obtaine d dispersion relation of the lattice fermion has no extra poles. Secon d, the components of the fermion is 2(D), which should be compared to the 2(D+1) of the Kogut-Susskind (KS) fermion. Furthermore we can expl icitly show that the theory has the KS discrete chiral symmetry. All t he lattice fermions tend to the usual fermions on continuous spacetime .