The monopole mass in the three-dimensional Georgi-Glashow model

Abstract

We study the three-dimensional Georgi-Glashow model to demonstrate how magnetic monopoles can be studied fully non-perturbatively in lattice Monte Carlo simulations, without any assumptions about the smoothness of the field configurations. We examine the apparent contradiction between the conjectured analytic connection of the `broken' and `symmetric' phases, and the interpretation of the mass (i.e., the free energy) of the fully quantised 't Hooft-Polyakov monopole as an order parameter to distinguish the phases. We use Monte Carlo simulations to measure the monopole free energy and its first derivative with respect to the scalar mass. On small volumes we compare this to semi-classical predictions for the monopole. On large volumes we show that the free energy is screened to zero, signalling the formation of a confining monopole condensate. This screening does not allow the monopole mass to be interpreted as an order parameter, resolving the paradox.

arXiv comment12 pages, 7 figures, uses revtex. Minor changes made to the text to match with the published version at http://link.aps.org/abstract/PRD/v65/e125008

References in corpus (23)

• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• SU(N) gauge theories in 2+1 dimensions
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Static correlation lengths in QCD at high temperatures and finite densities
• Colour confinement and dual superconductivity of the vacuum - I
• A study of the 't Hooft loop in SU(2) Yang-Mills theory
• Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
• Computation of the Vortex Free Energy in SU(2) Gauge Theory
• Detecting Dual Superconductivity in the Ground State of Gauge Theory
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• The spectrum of the three-dimensional adjoint Higgs model and hot SU(2) gauge theory
• Testing imaginary vs. real chemical potential in finite-temperature QCD
• On the Phase Diagram of the SU(2) Adjoint Higgs Model in 2+1 Dimensions
• A gauge invariant study of the monopole condensation in non Abelian lattice gauge theories
• Free energy of an SU(2) monopole-antimonopole pair
• Vortex tension as an order parameter in three-dimensional U(1)+Higgs theory
• Vortices and confinement in hot and cold D=2+1 gauge theories
• Topological defects in lattice gauge theories
• Gauge-invariant charged, monopole and dyon fields in gauge theories
• SU(N) Gauge Theories with C-Periodic Boundary Conditions: II. Small Volume Dynamics
• A Magnetic Monopole in Pure SU(2) Gauge Theory
• Z2 monopoles in D=2+1 SU(2) lattice gauge theory
• On the heavy monopole potential in gluodynamics

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