Chiral asymmetry and the Atiyah-Patodi-Singer index for the Dirac operator on a four-dimensional ball

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

DOI:https://doi.org/10.1103/PhysRevD.35.3995· OSTI ID:6058226

Schmidt, J R; Bincer, A M

We consider the problem of determining the zero modes for the massless Dirac operator in a background Abelian gauge field F on a four-dimensional Euclidean manifold M with a boundary partialM. We solve exactly the case when F is constant self-dual or anti-self-dual and M is B/sup 4/, a four-dimensional ball, so that partialM is S/sup 3/, a three-dimensional sphere. The analysis employs the Atiyah-Patodi-Singer index theorem for manifolds with boundaries.

• Research Organization: Physics Department, University of WisconsinMadison, Madison, Wisconsin 53706
• OSTI ID: 6058226
• Journal Information: Phys. Rev. D; (United States), Vol. 35:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC OPERATORS
FOUR-DIMENSIONAL CALCULATIONS
MASSLESS PARTICLES
ASYMMETRY
CHIRALITY
EIGENVALUES
ELECTROMAGNETIC FIELDS
EUCLIDEAN SPACE
GAUGE INVARIANCE
MULTIPLICITY
SYMMETRY BREAKING
ELEMENTARY PARTICLES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM OPERATORS
RIEMANN SPACE
SPACE
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties