Renormalization of Quantum Field Theories with Non-linear Field Transformations
Subtitle: Proceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16-20, 1987
By: edited by Peter Breitenlohner, Dieter Maison, Klaus Sibold
Contributors: Maison, Dieter; Sibold, K. (Klaus)
Series: Lecture Notes in Physics -- 303; Lecture notes in physics -- 303.
Publisher: Springer Berlin Heidelberg
Published: 1988
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 239
ISBN-13: 9783540192633; 9783540391784
Subjects: Quantum theory; Mathematics; Cell aggregation; Physics; Quantum computing
Description: 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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Table of contents: title: Contents: Non-linear Field Transformations in Four Dimensions: Contributions by P. Breitenlohner, R. Collina, D. Maison, O. Piguet, R. Sénéor, K. Sibold; title: Non-linear -Models: Contributions by C. Becchi, A. Blasi, G. Bonneau, H. Dorn, R. Flume, P. Mitter, D. Olivier, C. Pope, K. Stelle; title: 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.