Charmonium properties in hot quenched lattice QCD

We study the properties of charmonium states at finite temperature in quenched QCD on large and fine isotropic lattices. We perform a detailed analysis of charmonium correlation and spectral functions both below and above ${T}_{c}$. Our analysis suggests that both $S$ wave states ($J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$) and $P$ wave states (${\ensuremath{\chi}}_{c0}$ and ${\ensuremath{\chi}}_{c1}$) disappear already at about $1.5{T}_{c}$. The charm diffusion coefficient is estimated through the Kubo formula and found to be compatible with zero below ${T}_{c}$ and approximately $1/\ensuremath{\pi}T$ at $1.5{T}_{c}\ensuremath{\lesssim}T\ensuremath{\lesssim}3{T}_{c}$.