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How to deal with infinite integrals in quantum field theory
Infinite integrals arising in perturbative expansions to quantum field theory have to be defined by means of a regularization procedure before they can be cancelled by a renormalization of the physical parameters in the theory. After a rapid survey of traditional regularization schemes the author describes fairly recent developments relying on point-splitting, non-polynomial interactions, analytic regularization and dimensional continuation. Among various critical tests of the schemes he considers vacuum polarization, scattering in an external field and the axial anomaly.
History
Publication title
Reports on Progress in PhysicsVolume
39Issue
4Pagination
345-399ISSN
0034-4885Department/School
School of Natural SciencesPublisher
Iop Publishing LtdPlace of publication
Dirac House, Temple Back, Bristol, England, Bs1 6BeRepository Status
- Restricted