Constraints on the Two-Flavour QCD Phase Diagram from Imaginary Chemical Potential
In a long term project, we calculate the critical surface bounding the region featuring chiral phase transitions in the quark mass and chemical potential parameter space of QCD with three flavours of quarks.
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Wolfgang E. Nagel Michael M. Resch
Dietmar H. Kr¨oner
Editors
High Performance Computing in Science and Engineering ’12 Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2012
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Editors Wolfgang E. Nagel Zentrum f¨ur Informationsdienste und Hochleistungsrechnen (ZIH) Technische Universit¨at Dresden Dresden Germany
Dietmar H. Kr¨oner Abteilung f¨ur Angewandte Mathematik Universit¨at Freiburg Freiburg Germany
Michael M. Resch H¨ochstleistungsrechenzentrum Stuttgart (HLRS) Universit¨at Stuttgart Stuttgart Germany
Front cover figure: Horizontal slice through a snapshot of simulated turbulence in the atmosphere. Red and green regions are strongly turbulent while blue regions are relatively calm. (Details can be found in ’Numerical Investigation of Stratified Turbulence’ by S. Remmler and S. Hickel)
ISBN 978-3-642-33373-6 ISBN 978-3-642-33374-3 (eBook) DOI 10.1007/ 978-3-642-33374-3 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012954941 Mathematics Subject Classification (2010): 65Cxx, 65C99, 68U20 c Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents
Part I
Physics
Peter Nielaba Constraints on the Two-Flavour QCD Phase Diagram from Imaginary Che