Instantons and Monopoles in General Abelian Gauges
arXiv:hep-th/9909004 · doi:10.1088/0305-4470/33/15/307
Abstract
A relation between the total instanton number and the quantum-numbers of magnetic monopoles that arise in general Abelian gauges in SU(2) Yang-Mills theory is established. The instanton number is expressed as the sum of the `twists' of all monopoles, where the twist is related to a generalized Hopf invariant. The origin of a stronger relation between instantons and monopoles in the Polyakov gauge is discussed.
28 pages, 8 figures; comments added to put work into proper context
References in corpus (4)
Cited by in corpus (20)
- Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
- QCD versus Skyrme-Faddeev Theory
- Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge
- On topological charge carried by nexuses and center vortices
- Monopoles in Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement
- Topological objects in QCD
- Instantons, Monopoles and the Flux Quantization in the Faddeev-Niemi Decomposition
- Magnetic monopole bibliography
- Topological Concepts in Gauge Theories
- Reflections on Topology - Viewpoints on Abelian Projections
- Gravity assisted solution of the mass gap problem for pure Yang-Mills fields
- A ring of instantons inducing a monopole loop
- Hedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory
- A gauge-invariant object in non-Abelian gauge theory
- Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
- Sphalerons, knots, and dynamical compactification in Yang-Mills-Chern-Simon theories
- Hopf defects as seeds for monopole loops
- Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop
- Decomposition of meron configuration of SU(2) gauge field
- Non-Abelian Thermal Large Gauge Transformations in 2+1 Dimensions