Classical adiabatic holonomy in field theory

Journal Article · Mon Oct 15 00:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.2752· OSTI ID:6313205

Gozzi, E ^[1]; Rohrlich, D ^[2]; Thacker, W D ^[3]

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1. CERN, Theory Division, Geneva (Switzerland)
2. School of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, Tel-Aviv (Israel)
3. Department of Science and Mathematics, Parks College, Saint Louis University, Cahokia, IL (USA)

In this paper we develop the notion of adiabatic holonomy in {ital classical} fermionic field theory and apply it to chiral gauge theory. In chiral gauge theory the {ital classical} adiabatic holonomy leads to a deformation of the Poisson algebra of translation generators in the space of gauge fields and to an additional term in the Poisson brackets among gauge-transformation generators. We study all this in detail in a (1+1)-dimensional model.

• OSTI ID: 6313205
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 42:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
CHIRAL SYMMETRY
CLASSICAL MECHANICS
FERMIONS
GAUGE INVARIANCE
HAMILTONIANS
QUANTIZATION
SEMICLASSICAL APPROXIMATION
SP GROUPS
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS
VACUUM STATES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
645300 - High Energy Physics- Particle Invariance Principles & Symmetries