“QED A Proof of Renormalizability”

Joel S. Feldman, Thomas R. Hurd, Lon Rosen, Jill D. Wright (Autoren)

Buch | Softcover

VII, 176 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1988
Springer Berlin (Verlag)
978-3-662-13663-8 (ISBN)

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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 Nicolò 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.

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.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	VII, 176 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	334 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Analysis • quantum electrodynamics • quantum field • quantum field theory • renormalization
ISBN-10	3-662-13663-5 / 3662136635
ISBN-13	978-3-662-13663-8 / 9783662136638
Zustand	Neuware