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  • Appendix: Feynman rules

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 281-284
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  • Index

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 285-288
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  • 3 - Pinch technique to all orders

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 75-85
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  • Dedication

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp v-vi
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  • 5 - The gauge technique

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 104-113
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  • 8 - Nexuses, sphalerons, and fractional topological charge

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 167-189
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  • 9 - A brief summary of d = 3 NAGTs

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 190-225
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  • 7 - Nonperturbative gluon mass and quantum solitons

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 144-166
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  • 10 - The pinch technique for electroweak theory

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 226-249
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  • Introduction: Why the pinch technique?

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
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    27 July 2023, pp xi-xviii
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  • 1 - The pinch technique at one loop

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 1-44
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  • 2 - Advanced pinch technique: Still one loop

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 45-74
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  • 11 - Other applications of the pinch technique

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp 250-280
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  • Contents

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp vii-x
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  • Frontmatter

  • John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)
  • Book:
    The Pinch Technique and its Applications to Non-Abelian Gauge Theories
    Published online:
    13 July 2023
    Print publication:
    27 July 2023, pp i-iv
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The Pinch Technique and its Applications to Non-Abelian Gauge Theories
  • John M. Cornwall, Joannis Papavassiliou, Daniele Binosi
  • Published online:
    13 July 2023
    Print publication:
    27 July 2023
  • 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.

The Pinch Technique and its Applications to Non-Abelian Gauge Theories
  • John M. Cornwall, Joannis Papavassiliou, Daniele Binosi
  • Published online:
    04 February 2011
    Print publication:
    23 December 2010
  • 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 Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students.

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