Lattice formulation of chiral gauge theories

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.6497· OSTI ID:389502

Bodwin, G T ^[1]

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1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)

We 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 vectorlike couplings to the gauge field; a double limit is taken, in which the lattice spacing associated with the fermion field is sent 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. We 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 the computational prescriptions are gauge invariant in the presence of a nonperturbative gauge-field configuration. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 389502
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
FERMIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
MASS
MATRIX ELEMENTS
UNIFIED GAUGE MODELS