Chiral anomaly for the Dirac operator in an instanton background via the Atiyah-Patodi-Singer theorem
Journal Article
·
· Phys. Rev. D; (United States)
We calculate explicitly the eta invariant for the Euclidean Dirac operator in the background field of an instanton on a four-dimensional manifold with a three-sphere boundary. The total chiral anomaly is found by invoking the Atiyah-Patodi-Singer theorem.
- Research Organization:
- Physics Department, University of Wisconsin, Madison, Wisconsin 53706
- OSTI ID:
- 6084034
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:8; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DIRAC OPERATORS
EQUATIONS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
INSTANTONS
ISOSPIN
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DIRAC OPERATORS
EQUATIONS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
INSTANTONS
ISOSPIN
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS