Deformation of symplectic structure and anomalous commutators in field theories

Journal Article · Fri Jan 15 04:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.441· OSTI ID:5582987

Kuratsuji, H; Iida, S

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.

• Research Organization: Department of Physics, Ritsumeikan University, Kyoto 603, Japan
• OSTI ID: 5582987
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
FEYNMAN PATH INTEGRAL
FIELD THEORIES
HAMILTONIANS
INTEGRALS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PHASE SPACE
QUANTUM OPERATORS
SP GROUPS
SPACE
SYMMETRY
SYMMETRY GROUPS
TOPOLOGY