Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-02
J.Phys.A38:9127-9144,2005
Physics
High Energy Physics
High Energy Physics - Theory
Final version: 22 pages, LaTeX, 1 eps figure
Scientific paper
10.1088/0305-4470/38/41/020
We discuss the statistical mechanics of a gas of gauged vortices in the canonical formalism. At critical self-coupling, and for low temperatures, it has been argued that the configuration space for vortex dynamics in each topological class of the abelian Higgs model approximately truncates to a finite-dimensional moduli space with a Kaehler structure. For the case where the vortices live on a 2-sphere, we explain how localisation formulas on the moduli spaces can be used to compute explicitly the partition function of the vortex gas interacting with a background potential. The coefficients of this analytic function provide geometrical data about the Kaehler structures, the simplest of which being their symplectic volume (computed previously by Manton using an alternative argument). We use the partition function to deduce simple results on the thermodynamics of the vortex system; in particular, the average height on the sphere is computed and provides an interesting effective picture of the ground state.
No associations
LandOfFree
Gauged vortices in a background does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gauged vortices in a background, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauged vortices in a background will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-284073