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Anomalies, Levinson’s theorem, and fermion determinants
Phys. Rev. D 32, 471 – Published 15 July, 1985
DOI: https://doi.org/10.1103/PhysRevD.32.471
Abstract
d-dimensional Dirac operators are studied using nonrelativistic scattering theory in one higher dimension, and Abelian axial anomalies are examined using a generalization of Levinson’s theorem. The formalism is useful in the analysis of instanton-induced symmetry breaking, in particular when the computations must be performed on an open space. This is demonstrated by clarifying the relations between instantons, fermion zero modes, and symmetry breaking.
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