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Geometrical description of the gauged Dirac-Kähler fields on the lattice

H. Aratyn and A. H. Zimerman

  • Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel

Phys. Rev. D 33, 2999 – Published 15 May, 1986

DOI: https://doi.org/10.1103/PhysRevD.33.2999

Abstract

We present a geometrical foundation of the lattice gauge theory for Dirac-Kaaumlhler fields in the adjoint representation. We give the homological interpretation of the dual boundary and coboundary covariant derivatives and establish several relevant relations.

References (6)

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  2. H. Aratyn, M. Goto, and A. H. Zimerman, Nuovo Cimento A 84, 255 (1984); see, also, G. Mack, Nucl. Phys. B 235[FS11], 197 (1984).
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  5. H. Aratyn, M. Goto, and A. H. Zimerman, Nuovo Cimento A 88, 225 (1985).
  6. H. Aratyn and A. H. Zimerman, J. Phys. A 18, L487 (1985).

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