Parity-invariant lattice regularization of a three-dimensional gauge-fermion system Article

Narayanan, R, Nishimura, J. (1997). Parity-invariant lattice regularization of a three-dimensional gauge-fermion system . NUCLEAR PHYSICS B, 508(1-2), 371-387. 10.1016/S0550-3213(97)80017-X

cited authors

  • Narayanan, R; Nishimura, J

authors

abstract

  • In three dimensions, the effective action for the gauge field induced by integrating out a massless Dirac fermion is known to give either a parity-invariant or a parity-violating result, depending on the regularization scheme. We construct a lattice formulation of the massless Dirac fermion using the overlap formalism. We show that the result is parity invariant in contrast to the formulation using Wilson fermions in the massless limit. This facilitates a non-perturbative study of three-dimensional massless Dirac fermions interacting with a gauge field in a parity-invariant setting with no need for fine-tuning. © 1997 Elsevier Science B.V.

publication date

  • December 22, 1997

published in

Digital Object Identifier (DOI)

start page

  • 371

end page

  • 387

volume

  • 508

issue

  • 1-2