## Selected Topics in Nonperturbative QCD: Varenna on Lake Como, Villa Monastero 27 June-7 July 1995The book addresses aspects of QCD which are related to its underlying structure as a field theory and to its mechanisms. Perturbative expansions do not work at large distances for QCD: the hadron spectrum, the confinement of colour, its deconfinement at high temperatures and the breaking of chiral symmetry all need nonperturbative methods of analysis. Sum rules, chiral perturbation theory and the formulation of QCD on a lattice are some of the tools used to test models, like the stochastic vacuum, the instanton liquid or the consideration of monopoles in the vacuum to produce dual superconductivity and confinement. The work covers different points of view and critical comparison between the different approaches. It can be considered a good reference text. |

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### Contents

H LEUTWYLER Principles of chiral perturbation theory 1 Introduction pag | 1 |

Goldstone theorem | 2 |

QCD | 3 |

Massless quarks | 5 |

Spontaneous breakdown of chiral symmetry | 6 |

Quark masses | 8 |

Approximate chiral symmetry | 10 |

Pion pole dominance | 13 |

The analysis of charmonium suppression | 93 |

KHARZEEV Quarkonium interactions in | 105 |

A VAINSHTEIN Nonperturbative effects in heavyflavour decays | 133 |

GlACOMO Mechanisms for colour confinement | 147 |

R W HAYMAKER Dual Abrikosov vortices in 1 and SU2 lattice | 172 |

Abrikosov vortices | 178 |

Dual superconductivity in pure U 1 gauge theory | 184 |

Generalization to pure SU2 and S73 gauge theories | 191 |

Strength of the effective interaction | 15 |

Effective Lagrangian | 17 |

Symmetries of the effective theory | 20 |

Transformation law of the pion field | 22 |

Form of the effective Lagrangian | 23 |

Geometry and universality | 25 |

Symmetry breaking | 27 |

Mass of the Goldstone bosons | 29 |

Currents and external fields | 32 |

Multipion exchange unitarity and loops | 35 |

Ward identities | 37 |

Anomalies | 40 |

Higher orders in | 41 |

Renormalizability | 44 |

electromagnetic form factor | 45 |

Magnitude of the coupling constants | 46 |

F KARSCH Latticeregularized QCD at finite temperature | 51 |

H SATZ Therm alization and colour deconfinement in highenergy | 73 |

Colour deconftnement | 83 |

Appendix A Notation conventions | 197 |

J POLONYI Confinement and renormalization | 203 |

F GLIOZZI Dynamics of the colour flux tube in lattice gauge systems | 233 |

SMILGA Thermal phase transition in | 257 |

H G DOSCH Applications of the model of the stochastic vacuum | 279 |

Yu A+ SIMONOV Hot nonperturbative | 319 |

confinement and chiralsymmetry | 339 |

Confinement due to dyons | 350 |

Conclusions and prospectives | 362 |

Correlation functions at finite temperature | 388 |

DiAKONOV Chiralsymmetry breaking by instantons | 397 |

E VICARI Topological properties of QCD and lattice approach | 433 |

CASELLE Recent results in hightemperature lattice gauge theories | 449 |

SALVO QCD sum rules and predictions in the charmonium | 469 |

Predictions in the 1S0 and P channels | 477 |

U JUNGNICKEL Quarks mesons and Exact fIow equations | 485 |

Elenco dei partecipanti | 504 |

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### Common terms and phrases

Abelian approximation behaviour calculations charmonium chiral condensate chiral symmetry chiral-symmetry breaking collisions colour configurations confinement continuum contribution correlation functions corresponding coupling constant cross-section cut-off deconfined phase deconfinement density derivative Dirac distances dual dynamical dyon edited effective action effective Lagrangian effective theory energy equation Euclidean expansion expectation value fermion field theory finite flux tube gauge theory gauge transformation glueball gluon condensate Goldstone bosons graphs Green functions hadrons heavy quarks instanton integral interaction invariant J/ip Lagrangian lattice Lett light hadrons limit low-energy massless mesons momenta momentum monopole nonperturbative nonzero NucL Phys nuclear nucleon obtained operator parameter perturbation theory phase transition physical pion field plaquette Polyakov potential properties QCD vacuum quantity quantum quark masses quarkonium renormalization scalar scale SHIFMAN SHURYAK spatial string tension superconductivity temperature thermal vacuum expectation value vector Wilson loop zero modes