't Hooft-Polyakov monopoles in lattice SU(N)+adjoint Higgs theory
S. Edwards, D. Mehta, A. Rajantie, L. von Smekal
TL;DR
This paper demonstrates how to impose twisted boundary conditions in lattice SU(N)+adjoint Higgs theory to create and study 't Hooft-Polyakov magnetic monopoles via Monte Carlo simulations.
Contribution
It introduces a method to realize magnetic monopoles in lattice gauge theories with specific boundary conditions for even N.
Findings
Non-zero magnetic charge can be imposed in the broken phase.
Lattice Monte Carlo simulations can be used to study monopole properties.
The approach enables quantum-level analysis of monopoles.
Abstract
We investigate twisted C-periodic boundary conditions in SU(N) gauge field theory with an adjoint Higgs field. We show that with a suitable twist for even N one can impose a non-zero magnetic charge relative to residual U(1) gauge groups in the broken phase, thereby creating a 't Hooft-Polyakov magnetic monopole. This makes it possible to use lattice Monte-Carlo simulations to study the properties of these monopoles in the quantum theory.
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