500 research outputs found
Proficiat!
Emiritus hoogleraar Bestuurskunde aan de Rijksuniversiteit Leiden en beschermheer van de BI
On Nahm's transformation with twisted boundary conditions
Following two different tracks, we arrive at a definition of Nahm's
transformation valid for self-dual fields on the 4-dimensional torus with
non-zero twist tensor.The transform is again a self-dual gauge field defined on
a new torus and with non-zero twist tensor. It preserves the property of being
an involution.Comment: 18 page
Probing for Instanton Quarks with epsilon-Cooling
We use epsilon-cooling, adjusting at will the order a^2 corrections to the
lattice action, to study the parameter space of instantons in the background of
non-trivial holonomy and to determine the presence and nature of constituents
with fractional topological charge at finite and zero temperature for SU(2). As
an additional tool, zero temperature configurations were generated from those
at finite temperature with well-separated constituents. This is achieved by
"adiabatically" adjusting the anisotropic coupling used to implement finite
temperature on a symmetric lattice. The action and topological charge density,
as well as the Polyakov loop and chiral zero-modes are used to analyse these
configurations. We also show how cooling histories themselves can reveal the
presence of constituents with fractional topological charge. We comment on the
interpretation of recent fermion zero-mode studies for thermalized ensembles at
small temperatures.Comment: 26 pages, 14 figures in 33 part
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