LEADER 03321nam 2200529 450 001 9910734332003321 005 20230726160924.0 010 $a1-009-40241-2 024 7 $a10.1017/9781009402415 035 $a(CKB)27558698300041 035 $a(UkCbUP)CR9781009402415 035 $a(NjHacI)9927558698300041 035 $a(EXLCZ)9927558698300041 100 $a20230622e20232011 fy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 181 $csti$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe pinch technique and its applications to non-Abelian gauge theories /$fJohn M. Cornwall, Joannis Papavassiliou, Daniele Binosi$b[electronic resource] 205 $a1st ed. 210 1$aCambridge :$cCambridge University Press,$d2023. 215 $a1 online resource (xvii, 279 pages) $cillustrations (black and white), digital, PDF file(s) 225 1 $aCambridge monographs on particle physics, nuclear physics and cosmology ;$v31 300 $aPreviously issued in print: 2011. 311 $a9781009402446 320 $aIncludes bibliographical references. 327 $aIntroduction; 1. The pinch technique at one loop; 2. Advanced pinch technique - still one loop; 3. Pinch technique to all orders; 4. The pinch technique in the Batalin-Vilkovisky framework; 5. The gauge technique; 6. Schwinger-Dyson equations in the pinch technique framework; 7. Non-perturbative gluon mass and quantum solitons; 8. Nexuses, sphalerons, and fractional topological charge; 9. A brief summary of d=3 NAGTs; 10. The pinch technique for electroweak theory; 11. Other applications of the pinch technique; Appendix; Index. 330 8 $aNon-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The pinch technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the pinch technique is equivalent to calculations in the background field Feynman gauge. The Schwinger-Dyson equations are derived within the pinch technique framework, and are used to show how a dynamical gluon mass arises in QCD. Finally the volume turns to its many applications. This book is ideal for elementary particle theorists and graduate students. This 2011 title has been reissued as an Open Access publication on Cambridge Core. 410 0$aCambridge monographs on particle physics, nuclear physics and cosmology ;$v31. 606 $aGauge fields (Physics) 606 $aNon-Abelian groups 606 $aGreen's functions 615 0$aGauge fields (Physics) 615 0$aNon-Abelian groups. 615 0$aGreen's functions. 676 $a530.1435 700 $aCornwall$b John M.$01189894 702 $aPapavassiliou$b Joannis 702 $aBinosi$b Daniele 801 0$bStDuBDS 801 1$bStDuBDS 906 $aBOOK 912 $a9910734332003321 996 $aThe pinch technique and its applications to non-Abelian gauge theories$92755353 997 $aUNINA