33 papers
Constituent monopoles through the eyes of fermion zero-modes
Falk Bruckmann, Daniel Nogradi, Pierre van Baal
We use the fermion zero-modes in the background of multi-caloron solutions with non-trivial holonomy as a probe for constituent monopoles. We find in general indication for an exte…
Multi-Caloron solutions
Falk Bruckmann, Pierre van Baal
We discuss the construction of multi-caloron solutions with non-trivial holonomy, both as approximate superpositions and exact self-dual solutions. The charge k SU(n) moduli space…
The Witten Index Beyond the Adiabatic Approximation
Pierre van Baal
We attempt to deal with the orbifold singularities in the moduli space of flat connections for supersymmetric gauge theories on the torus. At these singularities the energy gap in…
Reflections on Topology - Viewpoints on Abelian Projections
Pierre van Baal
This talk discusses two topological features in non-abelian gauge theories, related by the notion of abelian projection and the Hopf invariant. Minimising the energy of the non-lin…
Classical Gauge Vacua as Knots
Pierre van Baal, Andreas Wipf
The four dimensional O(3) non-linear sigma model introduced by Faddeev and Niemi, with a Skyrme-like higher order term to stabilise static knot solutions classified by the Hopf inv…
QCD in a Finite Volume
Pierre van Baal
We will review our understanding of non-abelian gauge theories in finite physical volumes. It allows one in a reliable way to trace some of the non-perturbative dynamics. The role…