Instantons and large N : an introduction to non-perturbative methods in quantum field theory

著者

    • Mariño, Marcos

書誌事項

Instantons and large N : an introduction to non-perturbative methods in quantum field theory

Marcos Mariño

Cambridge University Press, 2015

  • : hardback

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注記

Includes bibliographical references (p. 356-364) and indexes

内容説明・目次

内容説明

This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang-Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.

目次

  • Preface
  • Part I. Instantons: 1. Instantons in quantum mechanics
  • 2. Unstable vacua in quantum field theory
  • 3. Large order behavior and Borel summability
  • 4. Non-perturbative aspects of Yang-Mills theories
  • 5. Instantons and fermions
  • Part II. Large N: 6. Sigma models at large N
  • 7. The 1=N expansion in QCD
  • 8. Matrix models and matrix quantum mechanics at large N
  • 9. Large N QCD in two dimensions
  • 10. Instantons at large N
  • Appendix A. Harmonic analysis on S3
  • Appendix B. Heat kernel and zeta functions
  • Appendix C. Effective action for large N sigma models
  • References
  • Author index
  • Subject index.

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詳細情報

  • NII書誌ID(NCID)
    BB19726443
  • ISBN
    • 9781107068520
  • LCCN
    2015017087
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xi, 367 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
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