Dyon in the Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
arXiv:1907.02729 · doi:10.1140/epjc/s10052-020-8003-x
Abstract
In the previous paper, we have shown the existence of magnetic monopoles in the pure Yang--Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of magnetic monopoles to obtain dyons with both magnetic and electric charges. In fact, we solve under the static and spherically symmetric ansatz the field equations of the "complementary" gauge-scalar model, which is the Yang--Mills theory coupled to a single adjoint scalar field whose radial degree of freedom is eliminated. We show that the novel dyon solution can be identified with the gauge field configuration of a dyon with a minimum magnetic charge in the massive Yang--Mills theory. Moreover, we compare the dyon of the massive Yang--Mills theory obtained in this way with the Julia--Zee dyon in the Georgi--Glashow gauge-Higgs scalar model and the dyonic extension of the Wu--Yang magnetic monopole in the pure Yang--Mills theory. Finally, we identify the novel dyon solution found in this paper with a dyon configuration on space with nontrivial holonomy and propose to use it to understand the confinement/deconfinement phase transition in the Yang--Mills theory at finite temperature, instead of using the dyons constituting the Kraan--van Baal--Lee--Lu caloron.
arXiv comment24 pages, 11 figures
References in corpus (20)
- Instantons in QCD
- Periodic Instantons with non-trivial Holonomy
- SU(2) Calorons and Magnetic Monopoles
- Monopole Constituents inside SU(n) Calorons
- Quantum weights of dyons and of instantons with non-trivial holonomy
- Propagators and running coupling from SU(2) lattice gauge theory
- Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
- A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
- Two-loop Improved Truncation of the Ghost-Gluon Dyson-Schwinger Equations: Multiplicatively Renormalizable Propagators and Nonperturbative Running Coupling
- Topology and confinement
- Monopole-Antimonopole Chains and Vortex Rings
- Monopole--Antimonopole Chains
- Monopoles, Antimonopoles and Vortex Rings
- BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition
- Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
- Dyons with axial symmetry
- Gauge-invariant description of Higgs phenomenon and quark confinement
- Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
- Confinement--deconfinement phase transition and gauge-invariant gluonic mass in Yang-Mills theory
- Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory