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Scanning SQUID Study of Vortex Manipulation by Local Contact
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Published on: February 1, 2017

Quantum phases of a vortex string.

Roberto Auzzi1, S Prem Kumar

  • 1Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, United Kingdom. r.auzzi@swansea.ac.uk

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

The world sheet dynamics of magnetic k strings are governed by a bosonic O(3) sigma model. This model reveals a connection between sigma model kinks and monopoles confined on the string.

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Area of Science:

  • High-energy physics
  • Condensed matter theory
  • Quantum field theory

Background:

  • Magnetic k strings are crucial in understanding the Higgs phase of mass-deformed N = 4 theories.
  • The behavior of these strings is complex and requires advanced theoretical frameworks.

Purpose of the Study:

  • To elucidate the world sheet dynamics of magnetic k strings in the Higgs phase.
  • To identify the fundamental constituents and their interactions within this theoretical framework.

Main Methods:

  • Utilizing a bosonic O(3) sigma model with anisotropy and a topological theta term.
  • Analyzing the phase transitions, including the Kosterlitz-Thouless transition, and symmetry breaking.

Main Results:

  • The theory exhibits three distinct phases: massless O(2) symmetric, massive O(3) symmetric, and a massive phase with spontaneous Z(2) symmetry breaking.
  • At theta = pi, sigma model kinks and dyonic partners become degenerate, mirroring monopole behavior in the parent gauge theory.

Conclusions:

  • The study identifies sigma model kinks with monopoles confined on the string.
  • This provides a deeper understanding of the emergent dynamics and constituents of magnetic k strings.