Non-perturbative Qcd And Center Vortices

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This book describes non-perturbative quantum chromodynamics (QCD) in ways accessible to graduate students and researchers who know some textbook fundamentals of QCD.Although QCD ha s long been the accepted theory of interactions involving quarks and gluons, there is still controversy over how to explain fundamental non-perturbative aspects such as confinement and chiral symmetry breakdown. This book gives a picture of the leading contender for understanding non-perturbative QCD, through center vortices and their monopole-like partners, called nexuses.It begins where the textbooks finish, first explaining how to do calculations in QCD with the pinch technique, a formalism for calculating gauge-invariant and unambiguous QCD Green's functions. It goes on to show how these techniques lead, beyond perturbation theory, to a kind of gluon mass as indicated by a finite and positive value for the gluon propagator at zero momentum — as unambiguously revealed by computer simulations. It then goes on to show how such a mass leads to a condensate of quantum solitons, called center vortices and nexuses, that are responsible for confinement and other non-perturbative properties of QCD. These solitons are non-linear bound states of gluonic fields that owe their existence to the gluon mass, which self-consistently owes its existence to a spaghetti-like condensate of the solitons. These solitons and their effects are also seen in lattice simulations.Format: HardcoverNo of Pages: 300Imprint: World ScientificPublication date: 20220930 Show more