Digestible Quantum Field Theory
This book gives an intermediate level treatment of quantum field theory, appropriate to a reader with a first degree in physics and a working knowledge of special relativity and quantum mechanics. It aims to give the reader some understanding of what QFT
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QFT
Digestible Quantum Field Theory
Digestible Quantum Field Theory
Andrei Smilga
Digestible Quantum Field Theory
123
Andrei Smilga SUBATECH University of Nantes Nantes France
ISBN 978-3-319-59920-5 DOI 10.1007/978-3-319-59922-9
ISBN 978-3-319-59922-9
(eBook)
Library of Congress Control Number: 2017941477 © 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
To the memory of Elizaveta Glinka
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Part I
Aperitif
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
2
Units
9
Part II
h
Fundamental Constants
h
Conventions . . . . . . . . . . . . . . . . .
Hors d’Oeuvres
3
The Universe as We Know It . . . . 3.1 Elementary Particles . . . . . . . 3.2 Gravitational Interaction . . . . 3.3 Electromagnetic Interactions . 3.4 Strong Interactions . . . . . . . . 3.5 Weak Interactions . . . . . . . .
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17 18 21 22 24 27
4
The Cubic Edifice of Physical Theories . . . . 4.1 Classical Mechanics . . . . . . . . . . . . . . . 4.2 Relativistic Mechanics . . . . . . . . . . . . . 4.3 Quantum Mechanics. . . . . . . . . . . . . . . 4.4 Relativistic Quantum Mechanics . . . . . 4.5 Nonrelativistic Field Theory . . . . . . . . . 4.6 Relativistic Field Theory . . . . . . . . . . . 4.7 Quantum Field Theory . . . . . . . . . . . . . 4.8 Not in the Cube . . . . . . . . . . . . . . . . . .
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