Nonperturbative Adler-Bardeen theorem

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2436731· OSTI ID:20929634

Mastropietro, Vieri ^[1]

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1. Dipartimento di Matematica, Universita di Roma 'Tor Vergata', via della Ricerca Scientifica, Rome I-00133 (Italy)

The Adler-Bardeen theorem has been proven only as a statement valid at all orders in perturbation theory, without any control on the convergence of the series. In this paper we prove a nonperturbative version of the Adler-Bardeen theorem in d=2 by using recently developed technical tools in the theory of Grassmann integration. The proof is based on the assumption that the boson propagator decays fast enough for large momenta. If the boson propagator does not decay, as for Thirring contact interactions, the anomaly in the WI (Ward Identities) is renormalized by higher order contributions.

• OSTI ID: 20929634
• Journal Information: Journal of Mathematical Physics, Vol. 48, Issue 2; Other Information: DOI: 10.1063/1.2436731; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
CONVERGENCE
PARTICLE DECAY
PERTURBATION THEORY
PROPAGATOR
RENORMALIZATION
THIRRING MODEL
WARD IDENTITY