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Lorenz, Anna-Lena: Insights into Thermal Modifications of Charmonium and Bottomonium from a Comparison of Lattice QCD and Perturbative Spectral Functions. 2021
Inhalt
Introduction
Heavy Quarkonium Correlators and Spectral Functions
Hadronic Correlators
Gaining information on the correlator level
Reconstructed, Midpoint-subtracted and Difference correlator
Thermal Moments
Spectral functions
Non-interacting spectral function
Bound States
Perturbative spectral function
The Spectral Function at Low Frequencies
Transport Peak
Relation to the Heavy Quark Diffusion Coefficient
Modelling the Transport Peak
Transport Coefficients from Different Methods
Lattice QCD - A Method To Obtain Correlators
Discretization
Gauge action
Fermionic action
Clover-improved Wilson fermions
Scale setting
Lattice Setup
Analysis of Statistical Errors
Renormalization
Non-perturbative Renormalization Constants and Renormalization Independent Ratios
Perturbative Renormalization Constants
Mass Interpolation
Continuum Extrapolation
Heavy Quarkonium Correlators and Their Comparison to a Perturbative Spectral Function
Pseudoscalar Channel
Quark Number Susceptibility
Vector Channel
Transport Contribution
Comparison to Perturbative Constants
Comparison of Charmonium and Bottomonium
Estimating the Transport Coefficients
Thermal Moments
Combining the Results
Conclusion
Renormalization Constants
Results for the Gaussian Ansatz
Comparison of Charmonium and Bottomonium
Estimating the Transport Coefficients
Thermal Moments
Combining the Results