Invariant regularization of anomaly-free chiral theories

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2410· OSTI ID:467494

Chang, L N; Soo, C ^[1]

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1. Department of Physics and Institute for Particle Physics and Astrophysics, Virginia Tech, Blacksburg, Virginia 24061-0435 (United States)

We present a generalization of the Frolov-Slavnov invariant regularization scheme for chiral fermion theories in curved spacetimes. The Lagrangian level regularization is explicitly invariant under all the local gauge symmetries of the theory, including local Lorentz invariance. The perturbative scheme works for {ital arbitrary} representations which satisfy the chiral gauge anomaly and the mixed Lorentz-gauge anomaly cancellation conditions. Anomalous theories on the other hand manifest themselves by having divergent fermion loops which remain unregularized by the scheme. Since the invariant scheme is promoted to include also local Lorentz invariance, spectator fields which do not couple to gravity cannot be, and are not, introduced. Furthermore, the scheme is truly chiral (Weyl) in that {ital all} fields, including the regulators, are left handed; and {ital only the left-handed spin connection} is needed. The scheme is, therefore, well suited for the study of the interaction of matter with all four known forces in a completely chiral fashion. In contrast with the vectorlike formulation, the degeneracy between the Adler-Bell-Jackiw current and the fermion number current in the bare action is preserved by the chiral regularization scheme. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FG02-92ER40709
• OSTI ID: 467494
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
FERMIONS
GAUGE INVARIANCE
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LORENTZ INVARIANCE
PERTURBATION THEORY
SPACE-TIME