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. (c) 2007 American Institute of Physics.

Mastropietro, V. (2007). Nonperturbative Adler-Bardeen theorem. JOURNAL OF MATHEMATICAL PHYSICS, 48(2), 022302 [10.1063/1.2436731].

Nonperturbative Adler-Bardeen theorem

MASTROPIETRO, VIERI
2007

Abstract

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. (c) 2007 American Institute of Physics.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - Fisica Matematica
English
Con Impact Factor ISI
AXIAL-VECTOR CURRENT; GROSS-NEVEU MODEL; FIELD-THEORY; 2 DIMENSIONS; RENORMALIZATION-GROUP; RADIATIVE-CORRECTIONS; WARD IDENTITIES; ANOMALIES; ABSENCE
32
http://www.ams.org/leavingmsn?url=http://dx.doi.org/10.1063/1.2436731
Mastropietro, V. (2007). Nonperturbative Adler-Bardeen theorem. JOURNAL OF MATHEMATICAL PHYSICS, 48(2), 022302 [10.1063/1.2436731].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/31476
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