Invariant Regularization of Anomaly-Free Chiral Theories
arXiv:hep-th/9606174 · doi:10.1103/PhysRevD.55.2410
Abstract
We present a generalization of the Frolov-Slavnov invariant regularization scheme for chiral fermion theories in curved spacetimes. local gauge symmetries of the theory, including local Lorentz invariance. The perturbative scheme works for 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 also include 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 all fields, including the regulators, are left-handed; and 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.
28pgs, LaTeX. Typos corrected. Further remarks on singlet currents
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Cited by in corpus (5)
- Quantum Gravity, Torsion, Parity Violation and all that
- The standard model in noncommutative geometry and fermion doubling
- Adler-Bell-Jackiw anomaly, the Nieh-Yan form, and vacuum polarization
- Massive torsion modes, chiral gravity, and the Adler-Bell-Jackiw anomaly
- Remark on Pauli-Villars Lagrangian on the Lattice