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Deformation of symplectic structure and anomalous commutators in field theories

Deformation of symplectic structure and anomalous commutators in field theories We study anomalous commutators for field theories from the viewpoint of deformation of the symplectic structure of phase space. This deformation is connected with a phase holonomy associated with an adiabatic change of the field variables. In particular, we consider a chiral gauge field for which we get a novel explanation for Faddeev’s operator anomaly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Deformation of symplectic structure and anomalous commutators in field theories

Physical Review D , Volume 37 (2) – Jan 15, 1988
7 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1988 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.37.441
Publisher site
See Article on Publisher Site

Abstract

We study anomalous commutators for field theories from the viewpoint of deformation of the symplectic structure of phase space. This deformation is connected with a phase holonomy associated with an adiabatic change of the field variables. In particular, we consider a chiral gauge field for which we get a novel explanation for Faddeev’s operator anomaly.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jan 15, 1988

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