Exact solutions of the Dirac equation and induced representations of the Poincare group on the lattice

Authors
Lorente, M
Citation
M. Lorente, Exact solutions of the Dirac equation and induced representations of the Poincare group on the lattice, NUCL PH B-P, 73, 1999, pp. 679-681
Citations number
6
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
73
Year of publication
1999
Pages
679 - 681
Database
ISI
SICI code
0920-5632(199903)73:<679:ESOTDE>2.0.ZU;2-L
Abstract
We deduce the structure of the Dirac field on the lattice from the discrete version of differential geometry and from the representation of the integr al Lorentz transformations. The analysis of the induced representations of the Poincare group on the lattice reveals that they are reducible, a result that can be considered a group theoretical approach to the problem of ferm ion doubling.