Two-fermion-loop contribution to the axial anomaly in the massive Thirring model

Journal Article · Wed Jul 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.798· OSTI ID:7106615

Akiyama, S; Futami, Y ^[1]

---

1. Department of Physics, Faculty of Science and Technology, Science University of Tokyo, Noda (278), Chiba (Japan)

The two-fermion-loop contribution to the axial anomaly and the Schwinger terms in the massive Thirring model are calculated. Two kinds of regularization schemes are applied: one uses the Fierz transformation and the other does not. The two methods give different results for the axial anomaly, but they give the same result for the Schwinger terms. The relation between the massive Thirring model and the bosonization in the path integral is briefly discussed.

• OSTI ID: 7106615
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
BOSONS
CHIRAL SYMMETRY
CORRECTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INTERACTIONS
LAGRANGIAN FUNCTION
MASS
MESONS
PARTICLE INTERACTIONS
PCAC THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
SCHWINGER TERMS
SPACE-TIME
SYMMETRY
SYMMETRY BREAKING
THIRRING MODEL
VECTOR MESONS