Classical adiabatic holonomy in field theory

Journal Article · Mon Oct 15 04:00:00 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), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:8; ISSN PRVDA; ISSN 0556-2821
• 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
CLASSICAL MECHANICS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
QUANTIZATION
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SP GROUPS
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
VACUUM STATES