zeta. -function regularization of chiral Jacobians for singular Dirac operators: Finite chiral rotations
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, 22290 Rio de Janeiro, Rio de Janeiro (Brazil)
- Universidade Federal Fluminense, Outeiro de Sao Joao Batista, 24020 Niteroi, Rio de Janeiro (Brazil)
The Jacobian for finite chiral rotations which preserve the topology is computed using {zeta}-function regularization when the Dirac operator of the theory is singular. The full generating functional, including fermionic sources, is used in the definition of the Jacobian which is shown to be algebraically identical to the Jacobian which would be obtained if the Dirac operator were nonsingular.
- OSTI ID:
- 5219367
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:6; ISSN PRVDA; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CHIRALITY
DIRAC OPERATORS
EIGENFUNCTIONS
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
JACOBIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
RIEMANN SPACE
SPACE
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CHIRALITY
DIRAC OPERATORS
EIGENFUNCTIONS
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
JACOBIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
RIEMANN SPACE
SPACE