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    • Publisher:
      Cambridge University Press
      Publication date:
      July 2023
      July 2023
      ISBN:
      9781009402415
      9781009402446
      9781009402439
      Creative Commons:
      Creative Common License - CC Creative Common License - BY Creative Common License - NC Creative Common License - ND
      This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0.
      https://creativecommons.org/creativelicenses
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.71kg, 306 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.54kg, 306 Pages
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    Book description

    Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The pinch technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the pinch technique is equivalent to calculations in the background field Feynman gauge. The Schwinger–Dyson equations are derived within the pinch technique framework, and are used to show how a dynamical gluon mass arises in QCD. Finally the volume turns to its many applications. This book is ideal for elementary particle theorists and graduate students. This 2011 title has been reissued as an Open Access publication on Cambridge Core.

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    Contents

    Full book PDF
    • Frontmatter
      pp i-iv
    • Dedication
      pp v-vi
    • Contents
      pp vii-x
    • Introduction: Why the pinch technique?
      pp xi-xviii
    • 1 - The pinch technique at one loop
      pp 1-44
    • 2 - Advanced pinch technique: Still one loop
      pp 45-74
    • 3 - Pinch technique to all orders
      pp 75-85
    • 4 - The pinch technique in the Batalin–Vilkovisky framework
      pp 86-103
    • 5 - The gauge technique
      pp 104-113
    • 6 - Schwinger–Dyson equations in the pinch technique framework
      pp 114-143
    • 7 - Nonperturbative gluon mass and quantum solitons
      pp 144-166
    • 8 - Nexuses, sphalerons, and fractional topological charge
      pp 167-189
    • 9 - A brief summary of d = 3 NAGTs
      pp 190-225
    • 10 - The pinch technique for electroweak theory
      pp 226-249
    • 11 - Other applications of the pinch technique
      pp 250-280
    • Appendix: Feynman rules
      pp 281-284
    • Index
      pp 285-288

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