Quarkonia at $T>0$ and lattice QCD

TL;DR

This paper discusses recent advances in calculating heavy-quarkonium states at finite temperature using lattice QCD and effective field theories, providing insights into their melting temperatures and implications for heavy-ion collision experiments.

Contribution

It introduces a non-perturbative approach combining effective field theories with lattice QCD to determine in-medium spectral functions of quarkonium states at finite temperature.

Findings

Determined melting temperatures of S-wave and P-wave quarkonium states.

Computed in-medium spectral functions using lattice QCD.

Estimated phenomenological observables like the $\psi^\prime$ to J/$\psi$ ratio.

Abstract

We report here on recent progress in the determination of S-wave and P-wave heavy-quarkonium states at finite temperature. Our results are based on the combination of effective field theories with numerical lattice QCD simulations. These non-perturbative tools allow us to compute the heavy-quarkonium in-medium spectral functions, from which we in turn determine the melting temperatures of individual states and estimate phenomenologically relevant observables, such as the $\psi^\prime$ to J/$\psi$ ratio in heavy-ion collisions.