Kertész line in the three-dimensional compact U(1) lattice higgs model

The three-dimensional lattice Higgs model with compact U(1) gauge symmetry and unit charge is investigated by means of Monte Carlo simulations. The full model with fluctuating Higgs amplitude is simulated, and both energy as well as topological observables are measured. The data show a Higgs and a c...

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Bibliographic Details
Published in:Physical review letters 2005-07, Vol.95 (5), p.051601.1-051601.4, Article 051601
Main Authors: WENZEL, Sandro, BITTNER, Elmar, JANKE, Wolfhard, SCHAKEL, Adriaan M. J, SCHILLER, Arwed
Format: Article
Language:English
Subjects:
AMPLITUDES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPUTERIZED SIMULATION
COUPLING
Exact sciences and technology
GAUGE INVARIANCE
HIGGS MODEL
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
Physics
QUANTUM FIELD THEORY
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
U-1 GROUPS
VORTICES
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Summary:The three-dimensional lattice Higgs model with compact U(1) gauge symmetry and unit charge is investigated by means of Monte Carlo simulations. The full model with fluctuating Higgs amplitude is simulated, and both energy as well as topological observables are measured. The data show a Higgs and a confined phase separated by a well-defined phase boundary, which is argued to be caused by proliferating vortices. For fixed gauge coupling, the phase boundary consists of a line of first-order phase transitions at small Higgs self-coupling, ending at a critical point. The phase boundary then continues as a Kertész line across which thermodynamic quantities are non-singular. Symmetry arguments are given to support these findings.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.95.051601