Workshop on Strongly Coupled Gauge Theories: JENA98

Twenty-five years after the inception of QCD its low-energy features are still not fully understood. Nonetheless, the last few years have seen some remarkable progress in this direction. With the work of Seiberg and Witten there is now an exact non-perturbative solution of a strongly coupled gauge theory in four dimensions, though in a supersymmetric setting. This work has leant new support to the old idea of describing the vacuum as a dual superconductor where confinement is due to monopole condensation and a dual Meissner effect. Lattice calculations using (variants of) 't Hooft's maximal abelian gauge fixing find that abelian and monopole fields are the dominant configurations in the path integral (abelian and monopole dominance). Without supersymmetry, however, it is rather difficult to obtain these findings analytically. As they require some explicit gauge fixing (at least at the moment), one has to deal with the issues of gauge fixing ambiguities, the Gribov problem and the like. Monopole configurations arise as defects associated with these gauge fixings. The gauge dependence of the approach, however, is subject to debate. Also for this reason it is unclear exactly which configurations are the real dominant ones (instantons, monopoles, vortices etc.)

The workshop will bring together experts working on the following aspects of the problem:

Before the beginning of the workshop coffee will be provided at the cafeteria of the theory building ("Abbeanum").

Session I: Thursday, December 17th, Lecture Hall 2, Abbeanum, Fröbelstieg 1

14:00 - 14:10   Opening
14:10 - 15:00Heinzl Hamiltonian Analysis of the Gribov Problem
15:00 - 15:50ReinhardtMagnetic Monopoles, Vortices and Confinement
15:50 - 16:10   Coffee Break
16:10 - 17:00Bali Lattice Studies of QCD Confinement: Monopoles, Instantons or Vortices?
17:00 - 17:50Lenz The Center-Symmetric Phase of QCD: Formalism
17:50 - 18:10  Coffee Break
18:10 - 19:00Alkofer The Infrared Behavior of Gluon, Ghost and Quark Propagators in Landau Gauge QCD

Session II: Friday, December 18th, Lecture Hall 145, University Main Building, Fürstengraben

09:00 - 09:50Tok Instantons, Monopoles, and Gauge Fixing
09:50 - 10:40Wettig Random Matrices in QCD
10:40 - 11:00   Coffee Break
11:00 - 11:50Thies The Center-Symmetric Phase of QCD: Applications
11:50 - 12:40Theisen Strong-Coupling QCD from String Theory: The Conjecture of Maldacena
12:40 - 14:00  Lunch Break

Session III: Friday, December 18th, Lecture Hall 2, Abbeanum, Fröbelstieg 1

14:00 - 14:50Kalloniatis Confining Properties of the Homogeneous Self-Dual Field and the Effective Potential in SU(2) Yang-Mills Theory
14:50 - 15:40FordADHM in a Box
15:40 - 16:00   Coffee Break
16:00 - 16:50O'Raifeartaigh Seiberg-Witten Theory