How to deal with infinite integrals in quantum field theory
- 1 April 1976
- journal article
- review article
- Published by IOP Publishing in Reports on Progress in Physics
- Vol. 39 (4) , 345-399
- https://doi.org/10.1088/0034-4885/39/4/002
Abstract
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.Keywords
This publication has 59 references indexed in Scilit:
- Introduction to the technique of dimensional regularizationReviews of Modern Physics, 1975
- Invariant regularization of gauge theoriesTheoretical and Mathematical Physics, 1972
- A method of gauge-invariant regularizationLettere al Nuovo Cimento (1971-1985), 1972
- A new improved energy-momentum tensorAnnals of Physics, 1970
- Nonexistence of Anomalous Commutators in Spinor ElectrodynamicsPhysical Review B, 1969
- Infinities of Nonlinear and Lagrangian TheoriesPhysical Review B, 1969
- A PCAC puzzle: π0→γγ in the σ-modelIl Nuovo Cimento A (1971-1996), 1969
- Quantum Electrodynamics with Auxiliary FieldsProceedings of the Physical Society. Section A, 1953
- Quantum Electrodynamics. III. The Electromagnetic Properties of the Electron—Radiative Corrections to ScatteringPhysical Review B, 1949
- On the Invariant Regularization in Relativistic Quantum TheoryReviews of Modern Physics, 1949