A lattice formulation of chiral gauge theories

Technical Report · Fri Dec 01 04:00:00 EST 1995

DOI:https://doi.org/10.2172/515556· OSTI ID:515556

Bodwin, G T ^[1]

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1. Argonne National Lab., IL (United States). High Energy Physics Div.

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.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 515556
• Report Number(s): ANL-HEP-PR--95-59-Rev.; ON: DE97007882
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COUPLING
FERMIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
PERTURBATION THEORY
WILSON LOOP