72 citations · 466 across the 69 of their papers we have counts for
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Quantisation and Gauge Invariance
Jan Govaerts
Recent developments concerning canonical quantisation and gauge invariant quantum mechanical systems and quantum field theories are briefly discussed. On the one hand, it is shown…
Quantisation without Gauge Fixing: Avoiding Gribov Ambiguities through the Physical Projector
Victor M. Villanueva, Jan Govaerts, Jose-Luis Lucio-Martinez
The quantisation of gauge invariant systems usually proceeds through some gauge fixing procedure of one type or another. Typically for most cases, such gauge fixings are plagued by…
Topology Classes of Flat U(1) Bundles and Diffeomorphic Covariant Representations of the Heisenberg Algebra
Jan Govaerts, Victor M. Villanueva
The general construction of self-adjoint configuration space representations of the Heisenberg algebra over an arbitrary manifold is considered. All such inequivalent representatio…
The Physical Projector and Topological Quantum Field Theories: U(1) Chern-Simons Theory in 2+1 Dimensions
Jan Govaerts, Bernadette Deschepper
The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest…
Annular Vortex Solutions to the Landau-Ginzburg Equations in Mesoscopic Superconductors
Jan Govaerts, Geoffrey Stenuit, Damien Bertrand +1
New vortex solutions to the Landau-Ginzburg equations are described. These configurations, which extend the well known Abrikosov and giant magnetic vortex ones, consist of a succes…