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Kertész line in the three-dimensional compact U(1) lattice Higgs model
Sandro Wenzel1, Elmar Bittner, Wolfhard Janke
1Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany.
Physical Review Letters
|August 11, 2005
Summary
This study reveals a Higgs and confined phase in the 3D lattice Higgs model, separated by a vortex-driven phase boundary. The boundary features first-order transitions and a Kertész line, confirmed by symmetry arguments.
Area of Science:
- Theoretical Physics
- Condensed Matter Physics
- High Energy Physics
Background:
- The lattice Higgs model is crucial for understanding electroweak symmetry breaking.
- Investigating the U(1) gauge symmetry with compact U(1) and unit charge provides insights into fundamental interactions.
- Understanding phase transitions is key to characterizing the behavior of quantum field theories.
Purpose of the Study:
- To investigate the phase structure of the three-dimensional lattice Higgs model with compact U(1) gauge symmetry.
- To explore the role of fluctuating Higgs amplitude in model behavior.
- To identify and characterize phase transitions and their underlying mechanisms.
Main Methods:
- Monte Carlo simulations were employed to study the model.
- Both energy and topological observables were measured.
- The full model, including fluctuating Higgs amplitude, was simulated.
Main Results:
- A distinct Higgs phase and a confined phase were identified.
- A well-defined phase boundary separates these two phases.
- The phase boundary exhibits a line of first-order phase transitions at small Higgs self-coupling, culminating in a critical point, and continues as a Kertész line.
Conclusions:
- Proliferating vortices are identified as the cause of the observed phase boundary.
- Symmetry arguments support the existence of first-order phase transitions and the Kertész line.
- The study provides a comprehensive understanding of the phase diagram of the 3D lattice Higgs model.
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