Advances in Algebraic Quantum Field Theory
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topi
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Romeo Brunetti Claudio Dappiaggi Klaus Fredenhagen Jakob Yngvason Editors
Advances in Algebraic Quantum Field Theory
Mathematical Physics Studies Series editors Giuseppe Dito, Dijon, France Edward Frenkel, Berkeley, CA, USA Sergei Gukov, Pasadena, CA, USA Yasuyuki Kawahigashi, Tokyo, Japan Maxim Kontsevich, Bures-sur-Yvette, France Nicolaas P. Landsman, Nijmegen, The Netherlands
More information about this series at http://www.springer.com/series/6316
Romeo Brunetti Claudio Dappiaggi Klaus Fredenhagen Jakob Yngvason •
•
Editors
Advances in Algebraic Quantum Field Theory
123
Editors Romeo Brunetti University of Trento Trento Italy
Klaus Fredenhagen University of Hamburg Hamburg Germany
Claudio Dappiaggi University of Pavia Pavia Italy
Jakob Yngvason University of Vienna Vienna Austria
ISSN 0921-3767 Mathematical Physics Studies ISBN 978-3-319-21352-1 DOI 10.1007/978-3-319-21353-8
ISSN 2352-3905
(electronic)
ISBN 978-3-319-21353-8
(eBook)
Library of Congress Control Number: 2015943794 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
To the memory of our friend and colleague John E. Roberts
Preface
Relativistic quantum field theory was conceived in the late 1920s as a framework unifying the two fundamental theories that revolutionized physics in the twentieth century: Quantum Mechanics and the Special Theory of Relativity. Algebraic Quantum Field Theory (AQFT) is relativistic quantum field theory regarded from a certain perspective, emphasizing localization of observables in space and time. It has its roots in the pioneering work of Rudolf Haag and Arthur Wightman from the 1950s and is a well-established branch of mathematical physics, distinguished by clear conceptual foundations and mathematically sound arguments. AQF
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