JENA 98

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:

topologically nontrivial configurations: lattice vs. continuum
instantons, chiral symmetry breaking, and random matrix theory
complete gauge fixing: (Gribov) ambiguities and defects
Schwinger-Dyson equations with ghosts
supersymmetric gauge theories
from strings to Yang-Mills: Anti-de-Sitter approaches

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

Time	Name	Title
14:00 - 14:10		Opening
14:10 - 15:00	Heinzl	Hamiltonian Analysis of the Gribov Problem
15:00 - 15:50	Reinhardt	Magnetic Monopoles, Vortices and Confinement
15:50 - 16:10		Coffee Break
16:10 - 17:00	Bali	Lattice Studies of QCD Confinement: Monopoles, Instantons or Vortices?
17:00 - 17:50	Lenz	The Center-Symmetric Phase of QCD: Formalism
17:50 - 18:10		Coffee Break
18:10 - 19:00	Alkofer	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

Time	Name	Title
09:00 - 09:50	Tok	Instantons, Monopoles, and Gauge Fixing
09:50 - 10:40	Wettig	Random Matrices in QCD
10:40 - 11:00		Coffee Break
11:00 - 11:50	Thies	The Center-Symmetric Phase of QCD: Applications
11:50 - 12:40	Theisen	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

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