Introduction to a Renormalisation Group Method
This is a primer on a mathematically rigorous renormalisation group theory, presenting mathematical techniques fundamental to renormalisation group analysis such as Gaussian integration, perturbative renormalisation and the stable manifold theorem. It als
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Roland Bauerschmidt David C. Brydges Gordon Slade
Introduction to a Renormalisation Group Method
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Editors: Karin Baur, Leeds Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Annette Huber, Freiburg Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Cambridge Angela Kunoth, Cologne Ariane Mézard, Paris Mark Podolskij, Aarhus Sylvia Serfaty, New York Gabriele Vezzosi, Firenze Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Roland Bauerschmidt • David C. Brydges • Gordon Slade
Introduction to a Renormalisation Group Method
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Roland Bauerschmidt Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge, UK
David C. Brydges Department of Mathematics The University of British Columbia Vancouver, BC, Canada
Gordon Slade Department of Mathematics The University of British Columbia Vancouver, BC, Canada
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-981-32-9591-9 ISBN 978-981-32-9593-3 (eBook) https://doi.org/10.1007/978-981-32-9593-3 Mathematics Subject Classification (2010): 60G15, 60K35, 82B27, 82B28, 82B41 © Springer Nature Singapore Pte Ltd. 2019 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
This book provides an introduction to a mathematically rigorous renormalisation group method which is inspired by Kenneth Wilson’s original ideas from the early 1970s, for which he was awarded the 1982 Nobel Prize in Physics. The method has been developed and applied over the past 10 years in a
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