Mass of a quantum 't Hooft-Polyakov monopole

Details Mass of a quantum 't Hooft-Polyakov monopole Mass of a quantum 't Hooft-Polyakov monopole

2005-12-05

arxiv.org/abs/hep-lat/0512006v2

JHEP 0601 (2006) 088

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 4 figures. Typos corrected, one reference added

Scientific paper

10.1088/1126-6708/2006/01/088

The quantum mechanical mass of 't Hooft-Polyakov monopoles in the four-dimensional 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 taken properly into account. The methods can also be used to study the masses at strong coupling, i.e., near the critical point, where there are hints of a possible electric-magnetic duality.

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