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How to deal with infinite integrals in quantum field theory


Delbourgo, R, How to deal with infinite integrals in quantum field theory, Reports on Progress in Physics, 39, (4) pp. 345-399. ISSN 0034-4885 (1976) [Refereed Article]

DOI: doi:10.1088/0034-4885/39/4/002


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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:96810
Year Published:1976
Web of Science® Times Cited:20
Deposited By:Mathematics and Physics
Deposited On:2014-11-21
Last Modified:2014-11-21

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