# Fluctuations and correlations in thermal QCD

## TL;DR

This paper investigates the thermodynamic properties and correlations in thermal QCD using the Hadron Resonance Gas model, exploring the hadron spectrum, potential exotic states, and singularities related to the Hagedorn temperature.

## Contribution

It introduces a detailed analysis of fluctuations and correlators in thermal QCD within the HRG model, including new insights into the hadron spectrum and a conjecture about a zero-temperature singularity.

## Key findings

- Good agreement with other quark models for baryon spectrum
- Identification of potential missing or exotic states in the hadron spectrum
- Conjecture of a zero-temperature singularity analogous to Hagedorn divergence

## Abstract

We study the equation of state, fluctuations and static correlators of electric charge, baryon number and strangeness, by considering a realization of the Hadron Resonance Gas model in the light flavor sector of QCD. We emphasize the importance of these observables to study, within this approach, the possible existence of exotic and missing states in the hadron spectrum. Some preliminary results for the baryon spectrum have been obtained within a relativistic quark-diquark model, leading to an overall good agreement with the spectrum obtained with other quark models. Finally, it is conjectured, within the Hadron Resonance Gas approach, the existence of a singularity in the correlators at zero temperature, which turns out to be analogous to the divergence of the partition function at the Hagedorn temperature.