Integrability and chemical potential in the (3 +1)-dimensional Skyrme model

by Prof. Frabrizio Canfora (CECS and Universidad de Concepcion, Chile)

Tuesday 10 Jul 2018, 14:30 → 15:30 Europe/Rome

1G09 (Dipartimento di Fisica, M.S. Angelo)

In this talk a remarkable mapping from the original (3 +1)dimensional Skyrme model to the Sine-Gordon model is introduced. This allows to construct the first analytic examples of Skyrmions as well as of Skyrmions–anti-Skyrmions bound states within a finite box in 3 +1dimensional flat space-time. An analytic upper bound on the number of these Skyrmions–anti-Skyrmions bound states is derived. The critical isospin chemical potential beyond which these Skyrmions cease to exist can be computed. With these tools, it is possible to find also topologically protected time-crystals: time-periodic configurations whose time-dependence is protected by their non-trivial winding number