From Perturbative to Constructive Renormalization.

Rivasseau, Vincent -

ISBN 10: 0691085307 / ISBN 13: 9780691085302

Published by Princeton University Press (Princeton Series in Physics), 1991

About this Item

Formateinband: Leinen mit Umschlag / gebundene Ausgabe X, 336 S. (24,5 cm) 1st edition; (With many figures); In gutem Zustand. Sprache: Englisch Gewicht in Gramm: 850 [Stichwörter: Euclidian Field Theory etc.].

Seller Inventory # 6381

Bibliographic Details

• Title: From Perturbative to Constructive Renormalization.
• Publisher: Princeton University Press (Princeton Series in Physics)
• Publication Date: 1991
• Language: English
• ISBN 10: 0691085307
• ISBN 13: 9780691085302
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Gut
• Dust Jacket Condition: Dust Jacket Included
• Seller catalogs:
  • Physik

About this title

Synopsis

The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new results on its large order asymptotics. Furthermore, constructive field theory has reached one of its major goals, the mathematically rigorous construction of some renormalizable quantum field theories. For these models one can in particular investigate rigorously the phenomenon of asymptotic freedom, which plays a key role in our current understanding of the interaction among elementary particles. However, until this book, there has been no pedagogical synthesis of these new developments. Vincent Rivasseau, who has been actively involved in them, now describes them for a wider audience. There are, in fact, common concepts at the heart of the progress on perturbative and constructive techniques. Exploiting these similarities, the author uses perturbative renormalization, which is the more widely known and conceptually simpler of the two cases, to explain the less familiar but more mathematically meaningful constructive renormalization.

Originally published in 1991.

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