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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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The Pinch Technique and its Applications to Non-Abelian Gauge Theories (Hardcover)
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The Pinch Technique and its Applications to Non-Abelian Gauge Theories (Hardcover)
Series: Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology
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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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