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Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD^{ †}

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## Abstract

**:**

## 1. Introduction

## 2. Continuum Extrapolation

## 3. The Perturbative Spectral Function

## 4. Comparison of Lattice and Perturbative Correlators

## 5. Conclusions

## Funding

## References

- Ding, H.-T.; Kaczmarek, O.; Kruse, A.-L.; Ohno, H.; Sandmeyer, H. Continuum extrapolation of quarkonium correlators at non-zero temperature. EPJ Web. Conf.
**2018**, 175, 07010. [Google Scholar] [CrossRef] - Lüscher, M.; Sint, S.; Sommer, R.; Wittig, H. Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD. Nucl. Phys.
**1997**, B491, 344. [Google Scholar] [CrossRef] - Burnier, Y.; Ding, H.-T.; Kaczmarek, O.; Kruse, A.-L.; Laine, M.; Ohno, H.; Sandmeyer, H. Thermal quarkonium physics in the pseudoscalar channel. JHEP
**2017**, 11, 206. [Google Scholar] [CrossRef] - Burnier, Y.; Laine, M.; Vepsalainen, M. Heavy quarkonium in any channel in resummed hot QCD. JHEP
**2008**, 1, 043. [Google Scholar] [CrossRef] - Ding, H.-T.; Kaczmarek, O.; Mukherjee, S.; Ohno, H.; Shu, H.-T. Stochastic reconstructions of spectral functions: Application to lattice QCD. Phys. Rev.
**2018**, D97, 094503. [Google Scholar] [CrossRef]

**Figure 1.**The influence of different parts of the spectral function to the different regimes of the correlator.

**Figure 2.**Example of the continuum extrapolation in the pseudoscalar channel for three points in $\tau T$.

**Figure 3.**Fit of the model spectral function (blue) to the lattice data in the charmonium pseudoscalar channel. The yellow line corresponds to the perturbative correlator calculated with a 10% uncertainty in the mass.

**Figure 4.**Fit of the model spectral function (blue) to the lattice data up to $\tau T=0.25$ in the vector channel and the perturbative correlator (yellow).

**Table 1.**Results from the fit of the model spectral function to the lattice data in the pseudoscalar channel from [3].

Charmonium | Bottomonium | |||||
---|---|---|---|---|---|---|

$\mathit{T}/{\mathit{T}}_{\mathit{c}}$ | $\mathit{A}$ | $\mathit{B}/\mathit{T}$ | ${\mathit{\chi}}^{\mathbf{2}}/\mathit{d}.\mathit{o}.\mathit{f}.$ | $\mathit{A}$ | $\mathit{B}/\mathit{T}$ | ${\mathit{\chi}}^{\mathbf{2}}/\mathit{d}.\mathit{o}.\mathit{f}.$ |

1.1 | 1.04 | 0.52 | 0.01 | 0.85 | −0.11 | 0.02 |

1.3 | 1.04 | 0.37 | 0.01 | 0.87 | −0.13 | 0.04 |

1.5 | 1.02 | 0.33 | 0.02 | 0.87 | −0.11 | 0.10 |

2.25 | 1.06 | 0.16 | 0.08 | 0.93 | −0.04 | 0.28 |

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## Share and Cite

**MDPI and ACS Style**

Kruse, A.-L.; Ding, H.-T.; Kaczmarek, O.; Ohno, H.; Sandmeyer, H.
Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD. *Proceedings* **2019**, *10*, 45.
https://doi.org/10.3390/proceedings2019010045

**AMA Style**

Kruse A-L, Ding H-T, Kaczmarek O, Ohno H, Sandmeyer H.
Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD. *Proceedings*. 2019; 10(1):45.
https://doi.org/10.3390/proceedings2019010045

**Chicago/Turabian Style**

Kruse, Anna-Lena, H.-T. Ding, O. Kaczmarek, H. Ohno, and H. Sandmeyer.
2019. "Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD" *Proceedings* 10, no. 1: 45.
https://doi.org/10.3390/proceedings2019010045