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Effective Field Theory for Spontaneously Broken Symmetry

  • Book
  • Open Access
  • © 2024

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Overview

Authors:
  1. Tomáš Brauner

    1. Department of Mathematics and Physics, University of Stavanger, Stavanger, Norway

  • Provides a thorough review of recent research on spontaneous symmetry breaking
  • Offers a detailed explanation, including common concepts and terminology
  • Helps readers understand the language used in field theory
  • This book is open access, which means that you have free and unlimited access

Part of the book series:Lecture Notes in Physics (LNP, volume 1023)

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About this book

This open access book is about spontaneous symmetry breaking, which is a classic area of theoretical physics that lies at the core of many fascinating phenomena such as ferromagnetism, superfluidity, superconductivity, or the Higgs mechanism. The book brings an up-to-date overview of spontaneous symmetry breaking and of modern effective field theory description thereof. The topics covered include the classification of Nambu–Goldstone bosons, nonlinear realization of internal and spacetime symmetries and the construction of the corresponding effective actions, and selected applications. With in-depth exposition of conceptual foundations and numerous illustrative examples, the book is accessible to anybody having taken a basic course on quantum field theory. It serves as a self-contained text for graduate students and junior researchers in diverse areas of physics, but also as a useful reference for experts.

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xvi

  2. Prologue

    1. Front Matter

      Pages 1-1

    2. Introduction

      • Tomáš Brauner
      Pages 3-9Open Access

    3. Our First Model

      • Tomáš Brauner
      Pages 11-26Open Access

    4. Generalizations of the Model

      • Tomáš Brauner
      Pages 27-41Open Access

  3. Foundations

    1. Front Matter

      Pages 43-43

    2. Symmetry and Conservation Laws

      • Tomáš Brauner
      Pages 45-60Open Access

    3. Spontaneous Symmetry Breaking

      • Tomáš Brauner
      Pages 61-84Open Access

    4. Nambu–Goldstone Bosons

      • Tomáš Brauner
      Pages 85-108Open Access

  4. Spontaneously Broken Internal Symmetry

    1. Front Matter

      Pages 109-109

    2. Nonlinear Realization of Symmetry

      • Tomáš Brauner
      Pages 111-139Open Access

    3. Low-Energy Effective Field Theory

      • Tomáš Brauner
      Pages 141-170Open Access

    5. Scattering of Nambu–Goldstone Bosons

      • Tomáš Brauner
      Pages 207-240Open Access

  5. Spontaneously Broken Spacetime Symmetry

    1. Front Matter

      Pages 241-241

    2. Locally Equivalent Symmetries

      • Tomáš Brauner
      Pages 243-262Open Access

  6. Epilogue

    1. Front Matter

      Pages 359-359

Authors and Affiliations

  • Department of Mathematics and Physics, University of Stavanger, Stavanger, Norway

    Tomáš Brauner

About the author

Tomáš Brauner earned his PhD in theoretical physics, astronomy, and astrophysics from Charles University in Prague in 2006. Following postdoctoral positions in Frankfurt, Bielefeld, Helsinki, and Vienna, he joined the University of Stavanger as an associate professor of physics in 2015 and was promoted to full professor in 2016. His research interests encompass various aspects of quantum field theory and its applications to particle, nuclear, and condensed-matter physics, with a particular emphasis on the role of symmetries and their spontaneous breaking.

Accessibility Information

PDF accessibility summary

This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us ataccessibilitysupport@springernature.com.

EPUB accessibility summary

This ebook is designed with accessibility in mind, aiming to meet the ePub Accessibility 1.0 AA and WCAG 2.0 Level AA standards. Its features include described images and other non-text content, screenreader-friendly navigation and accessible math. Math is represented either as MathML, LaTeX or in images. If math is represented as image, Alt Text might not be present. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us ataccessibilitysupport@springernature.com.

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