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.

Full Product Details

Author:   Joel S. Feldman ,  Thomas R. Hurd ,  Lon Rosen ,  Jill D. Wright
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1988
Volume:   312
Dimensions:   Width: 17.00cm , Height: 1.00cm , Length: 24.40cm
Weight:   0.335kg
ISBN:  

9783662136638

ISBN 10:   3662136635
Pages:   176
Publication Date:   23 August 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

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.

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