"QED A Proof of Renormalizability"

by Joel S. Feldman, Thomas R. Hurd, Lon Rosen, Jill D. Wright

Overview

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.

Product Details

ISBN-13:	9783662136638
Publisher:	Springer Berlin Heidelberg
Publication date:	06/27/2013
Series:	Lecture Notes in Physics , #312
Edition description:	Softcover reprint of the original 1st ed. 1988
Pages:	176
Product dimensions:	6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

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.