24-26 June 2019
Bunkyo School Building, Tokyo Campus, University of Tsukuba
Japan timezone

Dyon in pure SU(2) Yang-Mills theory with a gauge-invariant mass toward confinement-deconfinement phase transition

24 Jun 2019, 17:00
2h
122 (Bunkyo School Building, Tokyo Campus, University of Tsukuba)

122

Bunkyo School Building, Tokyo Campus, University of Tsukuba

3-29-1 Otsuka Bunkyo-ku Tokyo 112-0012 Japan
Board: 20

Speaker

Dr Shogo Nishino (Chiba University)

Description

The KvBLL instantons (calorons) are extensively used to understand confinement-deconfinement phase transition in the Yang-Mills theory at finite temperature. The KvBLL instanton is a topological soliton solution of the self-dual equation of the SU(2) Yang-Mills theory on $S^1\times R^3$ space with instanton charge, which consists of BPS dyons having both electric and magnetic charges with non-trivial holonomy at spatial infinity. Recently, we have found a novel dyon solution as a non-BPS solution of (non self-dual) field equations of a gauge-scalar model with the radially fixed scalar field in the adjoint representation. This dyon solution of the gauge-scalar model is identified with the topological field configuration of the Yang-Mills theory with a gauge-invariant gluon mass term without scalar field, which is regarded as the low-energy effective model of the Yang-Mills theory with mass gap. This follows from the gauge-independent Higgs mechanism which does not rely on the spontaneous breaking of gauge symmetry. Our dyon has the non-vanishing asymptotic value corresponding to the non-trivial holonomy at spatial infinity to be comparable with the KvBLL dyon. Thus we can propose another scenario for reproducing confinement-deconfinement phase transition in the Yang-Mills theory at finite temperature based on our dyon solution. In this poster we show the existence of such dyons and discuss the characteristic properties, especially the asymptotic holonomy.

Primary author

Dr Shogo Nishino (Chiba University)

Presentation Materials