“QED A Proof of Renormalizability”. 1st ed. 1988

種類:

電子ブック

責任表示:

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

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988

著者名:

• Feldman, Joel S.
• Hurd, Thomas R.
• Rosen, Lon.
• Wright, Jill D.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Physics ; 312

ISBN:

9783540459538 [3540459537]    

注記:

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.
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.

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