Abstract
Paradigm shift in gauge topology at finite temperatures, from the instantons to their constituents – instanton-dyons – has recently lead to studies of their ensembles and very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at suffciently high density explains the chiral symmetry breaking transition. Unlike instantons, these objects have electric and magnetic charges. Simulations of the instanton-dyon ensembles have demonstrated that their back reaction on the Polyakov line modifies its potential and generates the deconfinement phase transition. For the Nc = 2 gauge theory the transition is second order, for QCD-like theory with Nc = 2 and two light quark flavors Nf = 2 both transitions are weak crossovers at happening at about the same condition. Introduction of quark-flavor-dependent periodicity phases (imaginary chemical potentials) leads to drastic changes in both transitions. In particulaly, in the so called Z(Nc) – QCD model the deconfinement transforms to strong first order transition, while the chiral condensate does not disappear at all. The talk will also cover more detailed studies of correlations between the dyons, effective eta’ mass and other screening masses.
Highlights
Since I participate in Lattice conference series intermittedly, I try to put in these few pages a very wide range of issues
Several plenary talks at this lattice conferences discussed the requirements for the lattice sizes, assuming the smallest scale appearing in quark propagators is mπ/2
The measure behavior of Polyakov line VEV in this theory indicates a smooth cross over transition. This numerical simulations are done for dynamical quarks, with a partition function appended by the fermionic determinant evaluated in the zero mode approximation
Summary
Since I participate in Lattice conference series intermittedly, I try to put in these few pages a very wide range of issues. Those discussions are rather brief, for a bit more detailed discussion see 2016 proceedings [1] and original papers. Perhaps it is worth to remind lattice community about the “Gauge topology" workshop series. The first took place in August 2015 at Symons center, Stony Brook, the second in Nov.2016 at ECT*,Trento. The third will happen May 28-June 01 2018, at ECT*,Trento: the interested readers take a note. The author emphasizes that this talk is based on works done in collaboration with R.Larsen, I.Zahed and Y.Liu
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
