English

Comments on the temperature dependence of the gauge topology

High Energy Physics - Lattice 2017-01-30 v1

Abstract

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of the semiclassical theory suggest that below Tmax2.5TcT_{max}\sim 2.5T_c, where Polyakov line has values between one and zero, the topology ensemble can be represented by a plasma of instanton constituents (called instanton-dyons or instanton-monopoles). It has been shown that such ensemble undergoes deconfinement and chiral transitions, semi-qualitatively reproducing the lattice results. There are ongoing efforts to locate them on the lattice, or use (flavor-dependent) periodicity phases of the deformed versions of QCD on the lattice and semiclassically, in order to test this theory. We here propose another possibly useful tool: the topological susceptibility of a sub-lattice.

Keywords

Cite

@article{arxiv.1701.08089,
  title  = {Comments on the temperature dependence of the gauge topology},
  author = {Edward Shuryak},
  journal= {arXiv preprint arXiv:1701.08089},
  year   = {2017}
}