Gauge-invariant quantization of chiral gauge theories
Journal Article
·
· Modern Physics Letters A; (United States)
- Oxford Univ. (United Kingdom). Dept. of Theoretical Physics
This paper reports on the path-integral functional of chiral gauge theories with background gauge potentials derived in the holomorphic representation. Justification is provided, from first quantum mechanical principles, for the appearance of a functional phase factor of the gauge fields in order to maintain the gauge invariance. This term is shown to originate either from the Berry phase of the first-quantized Hamiltonians or from the normal ordering of the second-quantized Hamiltonian with respect to the Dirac in-vacuum. The quantization of the chiral Schwinger model is taken as an example.
- OSTI ID:
- 5309762
- Journal Information:
- Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 5:3; ISSN 0217-7323; ISSN MPLAE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SYMMETRY
WAVE EQUATIONS
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SYMMETRY
WAVE EQUATIONS