QED, a proof of renormalizability / Joel S. Feldman [and others].
Contributor(s): Feldman, Joel SMaterial type: TextSeries: Lecture notes in physics: 312.Publisher: Berlin ; New York : Springer-Verlag, ©1988Description: 1 online resource (v, 176 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540459538; 3540459537Subject(s): Quantum field theory | Renormalization group | Quantum electrodynamics | Champs, Théorie quantique des | Groupe de renormalisation | Électrodynamique quantique | Quantum electrodynamics | Quantum field theory | Renormalization group | Quantenelektrodynamik | RenormierungGenre/Form: Electronic books. Additional physical formats: Print version:: QED, a proof of renormalizability.DDC classification: 530.1/43 LOC classification: QC174.45 | .Q25 1988Online resources: Click here to access online
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Includes bibliographical references (pages 175-176).
Introduction -- The GN Tree Expansion and UV-Renormalization -- Loop Regularization -- Ward Identities -- The Limits and U -- The Tree Expansion in the Infrared Regime -- QED Without Cutoffs -- Local Borel Summability -- Appendix A: Symbols and Terminology -- Appendix B: Real Time -- References.
The authors give a detailed and pedagogically well written proof of the renormalizability of quantum electrodynamics in four dimensions. The proof is based on the free expansion of Gallavotti and Nicol and is mathematically rigorous as well as impressively general. It applies to rather general models of quantum field theory including models with infrared or ultraviolet singularities, as shown in this monograph for the first time. Also discussed are the loop regularization for renormalized graphs and the Ward identities. The authors also establish that in QED in four dimensions only gauge invariant counterterms are required. This seems to be the first proof which will be accessible not only to the expert but also to the student.
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