Chiral lattice fermions with correct vacuum polarization and chiral anomaly

Journal Article · Mon Apr 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.2669· OSTI ID:5845837

Pryor, C ^[1]

---

1. Physics Department, University of California, Santa Barbara, California 93106 (US)

An action for chiral lattice fermions is proposed, which avoids the Nielsen-Ninomiya theorem by virtue of its nonlocality and nonbilinearity. The action is constructed by eliminating the extra fermion modes with a gauge-violating Majorana-type Wilson mass, which is then rendered invariant by an integration over gauge transformations. The free propagator is calculated, and the one-loop vacuum polarization is shown to be identical to that for Wilson fermions, even at nonzero lattice spacing. Also the chiral anomaly is shown to be the same as for Wilson fermions in the continuum limit.

• OSTI ID: 5845837
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELECTRODYNAMICS
EUCLIDEAN SPACE
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MAJORANA THEORY
MASS
MATHEMATICAL SPACE
PERTURBATION THEORY
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
SYMMETRY
SYMMETRY BREAKING
VACUUM POLARIZATION
WILSON LOOP