Vortex Condensation in the Dual Chern-Simons Higgs Model

Abstract

The contribution of nontrivial vacuum (topological) excitations, more specifically vortex configurations of the self-dual Chern-Simons-Higgs model, to the functional partition function is considered. By using a duality transformation, we arrive at a representation of the partition function in terms of which explicit vortex degrees of freedom are coupled to a dual gauge field. By matching the obtained action to a field theory for the vortices, the physical properties of the model in the presence of vortex excitations are then studied. In terms of this field theory for vortices in the self-dual Chern-Simons Higgs model, we determine the location of the critical value for the Chern-Simons parameter below which vortex condensation can happen in the system. The effects of self-energy quantum corrections to the vortex field are also considered.

9 pages. 1 eps figure. Corrections made and references added

References in corpus (8)

• Putting competing orders in their place near the Mott transition
• Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Monopoles in Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement
• Spin of Chern-Simons vortices
• Some Comments on the Spin of the Chern - Simons Vortices
• Abelian Higgs Model Effective Potential in the Presence of Vortices
• Condensation of Vortex-Strings: Effective Potential Contribution Through Dual Actions

Cited by in corpus (6)

• Particle-vortex duality in topological insulators and superconductors
• Bounded particle interactions driven by a nonlocal dual Chern-Simons model
• Deriving three-dimensional bosonization and the duality web
• Casimir force due to condensed vortices in a plane
• Particle-vortex duality and theta terms in AdS/CMT applications
• Suppressing vacuum fluctuations with vortex excitations