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  • Book
  • © 2012

An Invitation to Quantum Field Theory

  • Written as concise, self-contained and tutorial primer at beginning graduate level

  • Authored by leading specialists in the field

  • Concentrates on principles and ideas, rather than on mathematical details

  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 839)

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eBook USD 44.99
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  • ISBN: 978-3-642-23728-7
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Softcover Book USD 59.99
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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xi
  2. Why Do We Need Quantum Field Theory After All?

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 1-9
  3. From Classical to Quantum Fields

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 11-32
  4. Theories and Lagrangians I: Matter Fields

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 33-45
  5. Theories and Lagrangians II: Introducing Gauge Fields

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 47-79
  6. Theories and Lagrangians III: The Standard Model

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 81-99
  7. Towards Computational Rules: Feynman Diagrams

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 101-126
  8. Symmetries I: Continuous Symmetries

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 127-144
  9. Renormalization

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 145-173
  10. Anomalies

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 175-192
  11. The Origin of Mass

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 193-208
  12. Symmetries II: Discrete Symmetries

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 209-230
  13. Effective Field Theories and Naturalness

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 231-260
  14. Special Topics

    • Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
    Pages 261-273
  15. Back Matter

    Pages 275-294

About this book

This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results.

 Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection.

As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.

Keywords

  • CPT and spin-statistics theorem
  • Effective theories
  • Naturalness in physics
  • QFT textbook
  • Quantum field theory
  • Standard model of particle physics
  • Symmetries in particle physics

Reviews

From the reviews:

“The new work by Álvarez-Gaumé and Vázquez-Mozo looks like a good and concise introduction for the particle physics phenomenologist. … The book is very compact … and well written. … The reader who takes it seriously can definitely learn a lot from this nice new book.” (Ilya Shapiro, Mathematical Reviews, September, 2013)

“This book provides an introduction to Quantum Field Theory at an elementary level. … Students will like this fresh approach to QFT based on lectures and courses given by the authors. … readers whose acquaintance with mathematics is at an elementary … level are likely to be the main beneficiaries of this book.” (Gert Roepstorff, Zentralblatt MATH, Vol. 1232, 2012)

Authors and Affiliations

  • Theory Unit, Physics Department, CERN, Geneva 23, Switzerland

    Luis Alvarez-Gaumé

  • , Dept. de Fisica Fundamental, Universidad de Salamanca, Salamanca, Spain

    Miguel A. Vázquez-Mozo

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-23728-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 59.99
Price excludes VAT (USA)