On the geometrical interpretation of locality in anomaly cancellation

On the geometrical interpretation of locality in anomaly cancellation

A notion of local section of the determinant line bundle is defined giving necessary and sufficient conditions for anomaly cancellation compatible with locality. This definition gives an intrinsic geometrical interpretation of the local counterterms allowed in the renormalization program of quantum...

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Bibliographic Details
Published in:Journal of geometry and physics Vol. 133; pp. 102 - 112
Main Author: Ferreiro Pérez, Roberto
Format: Journal Article
Language:English
Published: Elsevier B.V 01-11-2018
Subjects:
Anomaly cancellation
Equivariant holonomy
Local cohomology
58J52
Equivariant holonomy
58A20
Local cohomology
81Q70
Anomaly cancellation
53C80
Online Access:Get full text
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Summary:A notion of local section of the determinant line bundle is defined giving necessary and sufficient conditions for anomaly cancellation compatible with locality. This definition gives an intrinsic geometrical interpretation of the local counterterms allowed in the renormalization program of quantum field theory. For global anomalies the conditions for anomaly cancellation are expressed in terms of the equivariant holonomy of the Bismut–Freed connection.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2018.06.017