Description

Book Synopsis
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.

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.

“QED A Proof of Renormalizability”

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    A Paperback by Joel S. Feldman, Thomas R. Hurd, Lon Rosen

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      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 23/08/2014
      ISBN13: 9783662136638, 978-3662136638
      ISBN10:

      Description

      Book Synopsis
      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.

      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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