We investigate the properties of chiral anomalies in d = 2 in the framework of constructive quantum field theory. The condition that the gauge propagator is sufficiently soft in the ultraviolet is essential for the anomaly non-renormalization; when it is violated, as for contact current-current interactions, the anomaly is renormalized by higher order corrections. The same conditions are also essential for the validity, in the massless case of the closed equation obtained combining Ward identities and Schwinger-Dyson equations; this solves the apparent contradiction between perturbative computations and exact analysis.

Mastropietro, V. (2007). Non-perturbative aspects of chiral anomalies, 40(33), 10349-10365 [10.1088/1751-8113/40/33/025].

Non-perturbative aspects of chiral anomalies

MASTROPIETRO, VIERI
2007-01-01

Abstract

We investigate the properties of chiral anomalies in d = 2 in the framework of constructive quantum field theory. The condition that the gauge propagator is sufficiently soft in the ultraviolet is essential for the anomaly non-renormalization; when it is violated, as for contact current-current interactions, the anomaly is renormalized by higher order corrections. The same conditions are also essential for the validity, in the massless case of the closed equation obtained combining Ward identities and Schwinger-Dyson equations; this solves the apparent contradiction between perturbative computations and exact analysis.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
AXIAL-VECTOR CURRENT; RENORMALIZATION-GROUP; GREENS-FUNCTIONS; FIELD-THEORY; 2 DIMENSIONS; MODEL
http://iopscience.iop.org/1751-8121/40/33/025/
Mastropietro, V. (2007). Non-perturbative aspects of chiral anomalies, 40(33), 10349-10365 [10.1088/1751-8113/40/33/025].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/34039
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