2006
DOI: 10.1088/1126-6708/2006/01/088
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Mass of a quantum 't Hooft-Polyakov monopole

Abstract: The quantum mechanical mass of 't Hooft-Polyakov monopoles in the fourdimensional Georgi-Glashow is calculated non-perturbatively using lattice Monte Carlo simulations. This is done by imposing twisted boundary conditions that ensure there is one unit of magnetic charge on the lattice, and measuring the free energy difference between this ensemble and the vacuum. In the weak-coupling limit, the results can be used to determine the quantum correction to the classical mass, once renormalisation of couplings is t… Show more

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Cited by 24 publications
(39 citation statements)
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“…In particular, it will be straightforward to measure the monopole mass in the same way as in Ref. [13].…”
Section: Discussionmentioning
confidence: 99%
“…In particular, it will be straightforward to measure the monopole mass in the same way as in Ref. [13].…”
Section: Discussionmentioning
confidence: 99%
“…For simplicity, the parameters are the same as those of Ref. [15]. For these parameters, the theory has a second-order (or possibly very weakly first-order) phase transition at m 2 c % À0:27 between the confining phase at m 2 > m 2 c and the Coulomb phase at m 2 < m 2 c .…”
Section: Resultsmentioning
confidence: 99%
“…The conventional technique for studying magnetic monopoles and other topological defects with lattice Monte Carlo simulations has consisted of measuring their mass via their free energy [15,[24][25][26].…”
Section: Free Energy As the Response To A Twistmentioning
confidence: 99%
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