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Setting Limits on Supersymmetry Using Simplified Models
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Multicomponent compact Abelian-Higgs lattice models.

Andrea Pelissetto1, Ettore Vicari2

  • 1Dipartimento di Fisica dell'Università di Roma Sapienza and INFN Sezione di Roma I, I-00185 Rome, Italy.

Physical Review. E
|November 28, 2019
PubMed
Summary
This summary is machine-generated.

We mapped the phase diagram for multicomponent Abelian-Higgs models. For N=2, a continuous transition occurs, while N=4 shows a first-order transition, with crossovers at high gauge couplings.

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Area of Science:

  • Condensed Matter Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • Investigating the phase diagram and critical phenomena of complex systems is crucial for understanding emergent behaviors.
  • Multicomponent Abelian-Higgs models coupled to compact quantum electrodynamics provide a framework for studying phase transitions in various physical systems.

Purpose of the Study:

  • To determine the phase diagram and analyze the critical behavior of three-dimensional multicomponent Abelian-Higgs models.
  • To identify the nature of the transition line for N=2 and N=4 component fields coupled to compact quantum electrodynamics.

Main Methods:

  • Utilized the Wilson lattice formulation for compact quantum electrodynamics.
  • Analyzed the behavior of the gauge-invariant local composite operator Q_{x}^{ab} as an order parameter.
  • Employed numerical simulations to study phase transitions and critical phenomena.

Main Results:

  • Identified two distinct phases characterized by the condensation or vanishing of the order parameter Q_{x}^{ab}.
  • Gauge excitations were found to be massive for any finite coupling, indicating gauge correlations are never critical.
  • Predicted a continuous transition in the Heisenberg universality class for N=2 and a first-order transition for N=4 at finite gauge couplings.

Conclusions:

  • The nature of the transition is largely independent of the gauge coupling strength.
  • Crossover phenomena appear at large gauge couplings due to suppressed gauge fluctuations, linked to an unstable O(2N) fixed point.
  • The study provides insights into the critical behavior of multicomponent Abelian-Higgs models, relevant for diverse physical phenomena.