Arbitrary spin fermions on the lattice: J. A. Bullinaria, Department of Physics, University of Southampton, Southampton SO9 5NH, United Kingdom

• Book ID: 102631548
• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 73 KB
• Volume: 159
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(85)90200-3

✦ Synopsis

Lattice actions are constructed for free Dirac and Majorana fermions of arbitrary (half integer) spin using various extensions of the spin f Kogut-Susskind, Klhler, and Wilson formalisms. In each case, the spectrum degeneracy and preservation of gauge invariance are analysed, and the equivalence or nonequivalence to previously constructed actions is determined. The Kogut-Susskind and lattice Klhler actions are then written explicitly in terms of spinors to demonstrate how the degenerate fermions couple on the lattice and how the original spinorial actions are recovered (or not recovered) in the continuum limit. Both degenerate and non-degenerate mass terms are dealt with and the various U( 1) invariances of the lattice actions are pointed out.

Explicit

Treatment of N-Body Correlations within a Density-Matrix Formalism.