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Francis, Anthony: Thermal dilepton rates from quenched lattice QCD : a study of thermal spectral functions in the continuum limit of quenched lattice QCD, at vanishing and [...]. 2011
Inhalt
Preface
Introduction and Motivation
Quantum Chromodynamics and Yang-Mills Theory
Heavy-Ion Collisions
Production of Photons and Dileptons in Heavy-Ion Collisions
Status of Experimental Dilepton Production Data
Foundations of Lattice Quantum Field Theory
Lattice Quantum Field Theory
Lattice Quantum Chromodynamics
SU(3) Pure Yang-Mills Theory
Quantum Chromodynamics
Quenched QCD
Fermion Discretization in Lattice QCD
Wilson-Clover Fermions
Connecting to Physics
Renormalization
Continuum Limit
Parameters and Systematics
The Phenomenology of Spectral Functions
Spectral Functions in Non-Interacting Theory
Free Continuum Spectral Functions
Properties of the Free Continuum Spectral Function
Free Discretized Spectral Functions
Expectations for Interacting Theory
Linear Response and Transport Coefficients
Heavy Quark Diffusion from the Langevin Equation
Light Quarks in a Boltzmann Gas
Hard Thermal Loops and Alternative Approaches
Dileptons from Hard Thermal Loops
Spectral Functions from AdS/CFT Correspondence
Lattice Methodology
Lattice Correlation Functions and the Kernel
Thermal Moments of the Correlation Function
An Ill Posed Problem and its Bayesian Solution
Maximum Entropy Method
Remarks on the Bayesian solution
An Alternative Route
The Vector Spectral Function at Vanishing Momentum
The Vector SPF and Dilepton Rate in the Continuum at T1.45Tc
The Spectral Function of the Time-Time Vector Correlator
Spatial and Full Vector Correlation Functions
Continuum Extrapolation of the Vector Correlation Function
Computation of Thermal Moments
Analyzing the Vector Correlator and computing the SPF
The Thermal Dilepton Rate and Electrical Conductivity
Temperature Dependence of the Vector SPF on the Lattice
Temperature Evolution of the Thermal Moments
Consequences for the Spectral Functions
The Vector Spectral Function at Finite Momentum
Analyzing the Vector Correlation Function at Finite Momentum
Thermal Moments of the Finite Momentum Correlators
Toy Models of the Correlation Function
The Time-Time Vector Channel and its Thermal Moments
On a Non-Zero Intercept in the Longitudinal Channel
Consequences for the Spectral Functions at Finite Momentum
Notes on the Pseudo Scalar and Other Spectral Functions
The Pseudo Scalar Correlator and its Thermal Moments
The Correlator Ratio at T1.45Tc
The Continuum Extrapolation
Thermal Moments of the Pseudo Scalar Correlator
MEM analysis of the Pseudo Scalar Channel
Midpoints of the Current Correlators at Finite Temperature
Summary and Concluding Remarks
Bibliography
Acknowledgements
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