Symmetry and the Standard Model Mathematics and Particle Physics
While elementary particle physics is an extraordinarily fascinating field, the huge amount of knowledge necessary to perform cutting-edge research poses a formidable challenge for students. The leap from the material contained in the standard graduate cou
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Matthew Robinson
Symmetry and the Standard Model Mathematics and Particle Physics
Symmetry and the Standard Model
Matthew Robinson
Symmetry and the Standard Model Mathematics and Particle Physics
123
Matthew Robinson
ISBN 978-1-4419-8266-7 e-ISBN 978-1-4419-8267-4 DOI 10.1007/978-1-4419-8267-4 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011934256 © Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To our teachers Celeste Brockington Joe Stieve Virginia Cooke Bruce Hrivnak Chris Hughes Scotty Johnson Donald Koetke Rick Kuhlman Robert Manweiler Stan Zygmunt for showing us that anything that can be explained can be explained clearly
Preface
Motivation for This Series First of all, we want to point out that this book is by no means meant to compete with or take the place of any of the standard quantum field theory, particle physics, or mathematics texts currently available. There are too many outstanding choices to try to add yet another to the list. Our goal is, simply put, to teach physicists the math that is used in particle physics. The origin of this goal is the plight of upper-level undergraduate and first/second year graduate students in physics, especially those in theory. Generally, after four years of standard undergraduate coursework and two years of standard graduate coursework, the road to understanding a modern research paper in particle theory is a long, hard hike. And as the physics becomes more and more advanced, the necessary math becomes more sophisticated at an overwhelming rate. At least, it is overwhelming for those of us who don’t understanding everything immediately. To make matters worse, the way physicists and mathematicians think about nearly everything in math and physics can be (and usually is) vastly different. The way a mathematician approaches differential equations, Lie groups, or fiber bundles is typically unlike the way a physicist approaches them. The language used is often very different, and the things that are important are almost always different. When physics students realize that they need a better understanding of how one does analysis on manifolds (e.g. at a graduate level), reading a graduate-level book about analysis
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