Partition Function of Interacting Calorons Ensemble

We present a method for computing the partition function of a caloron ensemble taking into account the interaction of calorons. We focus on caloron-Dirac string interaction and show that the metric that Diakonov and Petrov offered works well in the limit where this interaction occurs. We suggest computing the correlation function of two polyakov loops by applying Ewald's method.Comment: Contribution to the XIth conference Quark Confinement and the Hadron Spectrum (QCHSXI), 8-12 September 2014, St Petersburg, Russi

Flux tube counting or Casimir scaling

QCD confines quarks in all representations. From lattice calculations and fat center vortices model, we discuss that the coefficient of the linear term in the potential is proportional to both casimir scaling and the number of fundamental strings.Comment: 3 pages, 4 figures, talk given by S. Deldar at 6th Conference on Quark Confinement and the Hadron Spectrum, Villasimius, Sardinia, Italy, 21-25 Sep 200

The Interaction of Two Dyons in The Near Field Limit

We study the interaction of two dyons in the region of their cores where they are non-linear and non-Abelian. We assume the superposition of two dyons as a solution of the equation of motion. The terms due to the non-linearity of the strength tensor are considered as the perturbation terms which deforms the profile function of two individual dyons. As a result, the profile function of dyons are obtained to be dependent on the polar angle and the spherical symmetry is lost