Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-10-18
Phys.Rev. D65 (2002) 125008
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, 7 figures, uses revtex. Minor changes made to the text to match with the published version at http://link.aps.org/
Scientific paper
10.1103/PhysRevD.65.125008
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.
Davis Anne--Christine
Hart Alexa
Kibble T. W. B.
Rajantie Arttu
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