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John Donoghue - A Prelude to Quantum Field Theory

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A Prelude to Quantum Field Theory: summary, description and annotation

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Aconcise, beginner-friendly introduction to quantum field theory
Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications.

  • Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences
  • Emphasizes a quantum field theoretical mindset while maintaining mathematical rigor
  • Obtains quantum fields as the continuum limit of a quantized system of many particles
  • Highlights the correspondence between wave functionfundamental in quantum mechanicsand the formalism of second quantization used in quantum field theory
  • Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories
  • Introduces students to renormalization, path integrals techniques, and more
  • Discusses more modern topics like effective field theories
  • Ideal for both undergraduate and graduate students
  • Proven in the classroom

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A Prelude to Quantum Field Theory

A Prelude to Quantum Field Theory

JOHN DONOGHUE
LORENZO SORBO

PRINCETON UNIVERSITY PRESS

Princeton and Oxford

Copyright 2022 by Princeton University Press

Princeton University Press is committed to the protection of copyright and the intellectual property our authors entrust to us. Copyright promotes the progress and integrity of knowledge. Thank you for supporting free speech and the global exchange of ideas by purchasing an authorized edition of this book. If you wish to reproduce or distribute any part of it in any form, please obtain permission.

Requests for permission to reproduce material from this work should be sent to

Published by Princeton University Press

41 William Street, Princeton, New Jersey 08540

6 Oxford Street, Woodstock, Oxfordshire OX20 1TR

press .princeton .edu

All Rights Reserved

Library of Congress Cataloging-in-Publication Data

Names: Donoghue, John, 1950 author.| Sorbo, Lorenzo, 1973 author.

Title: A prelude to quantum field theory / John Donoghue and Lorenzo Sorbo.

Description: Princeton: Princeton University Press, [2022] | Includes bibliographical references and index.

Identifiers: LCCN 2021034292 (print)| LCCN 2021034293 (ebook)| ISBN 9780691223490 (hardback)| ISBN 9780691223483 (paperback)| ISBN 9780691223506 (ebook)

Subjects: LCSH: Quantum field theory.| BISAC: SCIENCE / Physics / Quantum Theory

Classification: LCC QC174.45.D66 2022 (print) | LCC QC174.45 (ebook)| DDC 530.14/3dc23

LC record available at https://lccn.loc.gov/2021034292

LC ebook record available at https://lccn.loc.gov/2021034293

Version 1.0

British Library Cataloging-in-Publication Data is available

Editorial: Ingrid Gnerlich, Whitney Rauenhorst

Jacket/Cover Design: Wanda Espaa

Production: Danielle Amatucci

Publicity: Matthew Taylor, Charlotte Coyne

Copyeditor: Karen B. Hallman

Jacket/Cover Credit: local_doctor / Shutterstock

Contents
  1. ix
  2. 1
  3. 2
  4. 3
  5. 4
  6. 4
  7. 7
  8. 8
  9. 11
  10. 14
  11. 16
  12. 16
  13. 18
  14. 3.3Relativistic notation, =c=1, and dimensional analysis19
  15. 21
  16. 22
  17. 24
  18. 25
  19. 27
  20. 28
  21. 30
  22. 31
  23. 33
  24. 33
  25. 36
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