Abstract
We put the Georgi-Glashow model on a lattice, and use Monte Carlo techniques to investigate the quantum physics of its monopoles. For appropriate bare couplings the monopoles are stable (suggesting that theories in which the Higgs scalars are composite will also generate monopoles). We show how the history of a monopole depends on the volume of space-time in which it is originally created; anti-monopoles usually appear in “hot spots” on the domain wall separating the monopole from the rest of the universe, and these may annihilate with the monopole, or they may form a quasi-stable system. We observe how a condensation of “(anti)-monopole” vacuum fluctuations can restore the broken symmetry. We also observe that in the BPS limit quantum fluctuations restore the symmetry, so that in that limit there are no monopoles.
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