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Renormalization of quantum field theories with non-linear field transformations : proceedings of a workshop, held at Ringberg Castle, Tegernsee, FRG, February 16-20, 1987 / P. Breitenlohner, D. Maison, K. Sibold, eds.

Contributor(s): Material type: TextTextSeries: Lecture notes in physics ; 303.Publication details: Berlin ; New York : Springer-Verlag, ©1988.Description: 1 online resource (vi, 239 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540391784
  • 3540391789
Subject(s): Genre/Form: Additional physical formats: Print version:: Renormalization of quantum field theories with non-linear field transformations.DDC classification:
  • 530.1/4 19
LOC classification:
  • QC174.45 .R46 1988
Online resources:
Contents:
Non-linear Field Transformations in Four Dimensions: Contributions by P. Breitenlohner, R. Collina, D. Maison, O. Piguet, R. Snor, K. Sibold -- Non-linear -Models: Contributions by C. Becchi, A. Blasi, G. Bonneau, H. Dorn, R. Flume, P. Mitter, D. Olivier, C. Pope, K. Stelle -- Cohomological and Geometrical Methods, Relation to String Theory: Contributions by L. Bonora, M. Bregola, P. Cotta-Ramusino, K. Lechner, P. Pasti, M. Rimaldi, R. Stora, M. Tonin.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: The characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four space-time dimensions. The second part is devoted to nonlinear sigma-models and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory.
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Includes bibliographical references.

Non-linear Field Transformations in Four Dimensions: Contributions by P. Breitenlohner, R. Collina, D. Maison, O. Piguet, R. Snor, K. Sibold -- Non-linear -Models: Contributions by C. Becchi, A. Blasi, G. Bonneau, H. Dorn, R. Flume, P. Mitter, D. Olivier, C. Pope, K. Stelle -- Cohomological and Geometrical Methods, Relation to String Theory: Contributions by L. Bonora, M. Bregola, P. Cotta-Ramusino, K. Lechner, P. Pasti, M. Rimaldi, R. Stora, M. Tonin.

The characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four space-time dimensions. The second part is devoted to nonlinear sigma-models and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory.

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