5–10 Nov 2018
National University of Uzbekistan
Asia/Tashkent timezone

Heavy quarkonium potential at nonzero temperature in instanton liquid model

6 Nov 2018, 16:30
20m
National University of Uzbekistan

National University of Uzbekistan

4 Universitet St, Tashkent 100174, Uzbekistan

Speaker

Mr Nurmukhammad Rakhimov

Description

Distribution of direct instanton contribution to the static heavy quarks potential at nonzero temperature in the instanton liquid model with defining the expectation value of Wilson loop will be discussed. There will be given plot of the potential as a function of the distance between quarks in different temperatures.

Perturbative one gluon exchange potential with the consideration of the instanton interactions has form
$$V(r)=\lambda\cdot\bar{\lambda} g^2\int\frac{d^3k}{(2\pi)^3}\exp(i\vec{k}\vec{r})D_{44}(k)$$ where $$ D_{44}(k)=(\vec{k}^2+M_{g}(\vec{k},T)^2)^{-1}.$$ Considering the temperature dependence of dynamical gluon mass we calculate one gluon exchange potential and the results will be given as plots. As a conclusion there will be given temperature dependence of heavy quarks potential as a sum of static instanton contribution and one gluon exchange potentials $$V_{HQP}=V_{dir.inst.}+V_{one~gluon} $$

Primary author

Presentation materials