Chiral anomaly for the Dirac operator in an instanton background via the Atiyah-Patodi-Singer theorem

Journal Article · Thu Oct 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.2539· OSTI ID:6084034

Schmidt, J R

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), Vol. 36:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC OPERATORS
EUCLIDEAN SPACE
INSTANTONS
CHIRAL SYMMETRY
DIRAC EQUATION
FOUR-DIMENSIONAL CALCULATIONS
ISOSPIN
METRICS
SPIN
SU-2 GROUPS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory