The c and a-Theorems and the Local Renormalisation Group

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs.  The present primer introduces and reviews the parallel developments of the search for a highe

  • PDF / 1,574,451 Bytes
  • 105 Pages / 439.43 x 666.14 pts Page_size
  • 90 Downloads / 172 Views

DOWNLOAD

REPORT


Graham Shore

The c and a-Theorems and the Local Renormalisation Group

SpringerBriefs in Physics Editorial Board Egor Babaev, University of Massachusetts, Massachusetts, USA Malcolm Bremer, University of Bristol, Bristol, UK Xavier Calmet, University of Sussex, Brighton, UK Francesca Di Lodovico, Queen Mary University of London, London, UK Pablo D. Esquinazi, University of Leipzig, Leipzig, Germany Maarten Hoogerland, University of Auckland, Auckland, New Zealand Eric Le Ru, Victoria University of Wellington, Kelburn, New Zealand Hans-Joachim Lewerenz, California Institute of Technology, Pasadena, USA James Overduin, Towson University, Towson, USA Vesselin Petkov, Concordia University, Montreal, Canada Stefan Theisen, Max-Planck-Institut für Gravitationsphys, Golm, Germany Charles H.-T. Wang, University of Aberdeen, Aberdeen, UK Andrew Whitaker, Queen’s University Belfast, Belfast, UK

More information about this series at http://www.springer.com/series/8902

Graham Shore

The c and a-Theorems and the Local Renormalisation Group

123

Graham Shore Department of Physics Swansea University Swansea, United Kingdom

ISSN 2191-5423 SpringerBriefs in Physics ISBN 978-3-319-53999-7 DOI 10.1007/978-3-319-54000-9

ISSN 2191-5431 (electronic) ISBN 978-3-319-54000-9 (eBook)

Library of Congress Control Number: 2017935376 © Springer International Publishing AG 2017 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Contents

1

Introduction .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Scale, Conformal and Weyl Invariance . . . . . . . . . . .. . . . . . . . . . . .