Topological defects in lattice gauge theories
arXiv:hep-lat/0009037 · doi:10.1088/1126-6708/2000/11/010
Abstract
We present a non-perturbative formalism for measuring defect free energies (monopole mass or vortex tension) in three-dimensional SU(2)+adjoint Higgs models. Starting from twisted, translation invariant boundary conditions, we perform a change of variables that allows us to express the defect free energies in terms of 't Hooft loops. We propose that the defect free energies can be used to distinguish between phases in this model, and also more generally in other gauge field theories where no local order parameters exist. In the case of monopoles, our construction can also be used in four-dimensional pure-gauge SU(2) theory, where it gives the monopole mass in the maximally Abelian gauge without the need of actually fixing the gauge in the simulation. Moreover, the expression is manifestly independent of the choice of the Abelian projection as long as it is compatible with the classical 't Hooft-Polyakov solution.
22 pages, 2 figures, JHEP style. Typos corrected, some clarifications and new references added. To appear in JHEP
Cited by in corpus (19)
- Gauge theory for the cuprates near optimal doping
- Introduction to Magnetic Monopoles
- Lattice implementation of Abelian gauge theories with Chern-Simons number and an axion field
- Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition
- Magnetic monopoles from gauge theory phase transitions
- Mass of a quantum 't Hooft-Polyakov monopole
- Classical production of 't Hooft-Polyakov monopoles from magnetic fields
- Lattice Gauge Theory for Physics Beyond the Standard Model
- The monopole mass in the three-dimensional Georgi-Glashow model
- Numerical simulations of necklaces in SU(2) gauge-Higgs field theory
- Duality and scaling in 3-dimensional scalar electrodynamics
- Instanton solution for Schwinger production of 't Hooft-Polyakov monopoles
- Soliton form factors from lattice simulations
- Nonperturbative study of the 't Hooft-Polyakov monopole form factors
- Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition
- Electric and Magnetic Fluxes in SU(2) Yang-Mills Theory
- 't Hooft-Polyakov monopoles in lattice SU(N)+adjoint Higgs theory
- Non-Abelian vortex in lattice gauge theory
- Gravitating Dyons in Vaidya Geometry