A lattice formulation of chiral gauge theories

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Description

The authors present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of the fermion determinant is replaced with the square root of the determinant for a fermion with vector-like couplings to the gauge field; a double limit is taken in which the lattice spacing associated with the fermion field is taken to zero before the lattice spacing associated with the gauge field. The method applies only to theories whose fermions ... continued below

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68 p.

Creation Information

Bodwin, G.T. December 1, 1995.

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  • Bodwin, G.T. Argonne National Lab., IL (United States). High Energy Physics Div.

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Description

The authors present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of the fermion determinant is replaced with the square root of the determinant for a fermion with vector-like couplings to the gauge field; a double limit is taken in which the lattice spacing associated with the fermion field is taken to zero before the lattice spacing associated with the gauge field. The method applies only to theories whose fermions are in an anomaly-free representation of the gauge group. They also present a related technique for computing matrix elements of operators involving fermion fields. Although the analyses of these methods are couched in weak-coupling perturbation theory, it is argued that computational prescriptions are gauge invariant in the presence of a nonperturbative gauge-field configuration.

Physical Description

68 p.

Notes

INIS; OSTI as DE97007882

Source

  • Other Information: PBD: Dec 1995

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  • Other: DE97007882
  • Report No.: ANL-HEP-PR--95-59-Rev.
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/515556 | External Link
  • Office of Scientific & Technical Information Report Number: 515556
  • Archival Resource Key: ark:/67531/metadc693548

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Creation Date

  • December 1, 1995

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Dec. 15, 2015, 11:53 a.m.

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Bodwin, G.T. A lattice formulation of chiral gauge theories, report, December 1, 1995; Illinois. (digital.library.unt.edu/ark:/67531/metadc693548/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.