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Bollweg, Dennis: Higher order cumulants of net conserved charge distributions in lattice QCD. 2021
Inhalt
Introduction
The phase diagram of QCD
The search for the critical endpoint
Aim of this thesis
Formulating QCD on the lattice
Lattice discretization
Highly improved staggered quarks
Numerical Methods
RHMC algorithm
Analyzing gauge field configurations
Scale setting
Setup and statistics
Generalized Susceptibilities at >0
Taylor expansions for strangeness neutral systems
Mapping BQSijk to quark number susceptibilities
Chemical potential on the lattice
Trace operators
Second order cumulants and the HRG
Hadron Resonance Gas
Continuum extrapolation of second order cumulants
Comparison with HRG models
Baryon number fluctuations
Mean and variance of net baryon-number fluctuations
Skewness and kurtosis of net baryon-number fluctuations
Fifth and sixth order cumulants of net baryon-number fluctuations
Net proton-number fluctuations and baryon number fluctuations on the pseudo-critical line
Electric charge and strangeness fluctuations
Mean-to-variance ratio RQ12
Skewness ratio RQ31
Kurtosis ratio RQ42
Strangeness fluctuations and the strangeness chemical potential
Summary
Expressions for constrained expansion coefficients X,kn