Chiral lattice fermions with correct vacuum polarization and chiral anomaly
Journal Article
·
· Physical Review, D (Particles Fields); (USA)
- 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), Vol. 43:8; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
VACUUM POLARIZATION
LATTICE FIELD THEORY
CHIRAL SYMMETRY
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
MAJORANA THEORY
MASS
PERTURBATION THEORY
PROPAGATOR
QUANTUM ELECTRODYNAMICS
SYMMETRY BREAKING
WILSON LOOP
ELECTRODYNAMICS
FIELD THEORIES
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RIEMANN SPACE
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645400* - High Energy Physics- Field Theory
FERMIONS
VACUUM POLARIZATION
LATTICE FIELD THEORY
CHIRAL SYMMETRY
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
MAJORANA THEORY
MASS
PERTURBATION THEORY
PROPAGATOR
QUANTUM ELECTRODYNAMICS
SYMMETRY BREAKING
WILSON LOOP
ELECTRODYNAMICS
FIELD THEORIES
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
SYMMETRY
645400* - High Energy Physics- Field Theory