Quantum Field Theory in a Semiotic Perspective
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Hans Günter Dosch Volkhard F. Müller Norman Sieroka
Quantum FieldTheory in a SemioticPerspective
Hans G¨unter Dosch Institut f¨ur Theoretische Physik Universit¨at Heidelberg Philosophenweg 16, 69120 Heidelberg, Germany [email protected]
Volkhard F. M¨uller Fachbereich Physik der Technischen Universit¨at Kaiserslautern Postfach 3049, 67653 Kaiserslautern, Germany [email protected]
Norman Sieroka ETH Z¨urich Professur f¨ur Philosophie ETH Zentrum RAC G16, 8092 Z¨urich, Switzerland [email protected]
Library of Congress Control Number: 2005931712 ISBN 3-540-28211-4 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2005 Printed in Germany Cover design: Erich Kirchner, Heidelberg Typeset in LATEX by the authors and edited by PublicationService Gisela Koch, Wiesenbach, using a modified Springer LATEX macro-package. Printed on acid-free paper 32/3150 Ko – 5 4 3 2 1 0
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
2 Relativistic Quantum Field Theories Viewed as Physical Theories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1 The Empirical Domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 The Notion of a Relativistic Quantum Field . . . . . . . . . . . . . . . . . . 2.3 Local Gauge Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Particles versus Quantum Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5 The Facets of Quantum Field Theory . . . . . . . . . . . . . . . . . . . . . . . 2.5.1 General Theory of Quantum Fields . . . . . . . . . . . . . . . . . . . 2.5.2 Perturbative Renormalisation Theory . . . . . . . . . . . . . . . . . 2.5.3 Constructive Quantum Field Theory . . . . . . . . . . . . . . . . . . 2.5.4 Lattice Gauge Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5.5 Local Quantum Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.6 Renormalisability versus Effective Field Theories . . . . . . . . . . . .
5 5 6 7 8 9 10 11 14 15 16 17
3 Particles and Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Theories of Signs and Symbols, and Structural Realism . . . . . . . . . 27 5 A Theory of Symbols for Quantum Field Theory . . . . . . . . . . . .
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