Topological invariants for Dirac operators on open spaces

Journal Article · Sat Feb 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1079· OSTI ID:6326373

Hirayama, M

Topological invariants associated with a class of Dirac operators on odd-dimensional open Euclidean spaces are discussed. An invariant is introduced which, analogously to the one of Callias, depends on a free parameter. For examples considered, the above invariant with the parameter set equal to zero turns out to be harmonic conjugate to the Atiyah-Patodi-Singer eta invariant as a function of two physical parameters. Quantum field-theoretical implications of these invariants are studied.

• Research Organization: Department of Physics, Toyama University, Toyama 930, Japan
• OSTI ID: 6326373
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC OPERATORS
EUCLIDEAN SPACE
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PARAMETRIC ANALYSIS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RIEMANN SPACE
SPACE
TOPOLOGY