TY - DATA AU - Cornwall, John M. AU - Papavassiliou, Joannis AU - Binosi, Daniele TI - The pinch technique and its applications to non-Abelian gauge theories T2 - Cambridge monographs on particle physics, nuclear physics and cosmology SN - 9781009402415 AV - QC 174.17.G68 C67T 2023 PY - 2023/// CY - Cambridge PB - Cambridge University Press KW - GAUGE FIELDS (PHYSICS) KW - NON-ABELIAN GROUPS KW - GREEN'S FUNCTIONS N1 - Includes appendix and index ; The pinch technique at one loop -- Advanced pinch technique: Still one loop -- Pinch technique to all orders -- The pinch technique in the Batalin–Vilkovisky framework -- The gauge technique -- Schwinger–Dyson equations in the pinch technique framework -- Nonperturbative gluon mass and quantum solitons; Available to OhioLINK libraries; Specialized N2 - 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 UR - https://doi.org/10.1017/9781009402415 ER -