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Zhu, Yan: On the perturbative evaluation of thermal Green’s functions in the bulk and shear channels of Yang-Mills Theory. 2013
Inhalt
Preface
Introduction to thermal QCD
Strong interactions at nonzero temperature
QCD Lagrangian
Running coupling and asymptotic freedom
The partition function and its path integral representation
Perturbative QCD
Correlators and the spectral function
The Wightman functions and the spectral function
Retarded and advanced Green's functions
Euclidean correlators and their relation to the spectral function
Motivation: Bulk and shear viscosities of the QGP
Viscosities and heavy ion physics
Hydrodynamic description of the QGP
Linear response theory
Perturbation theory
Lattice QCD
Gauge/gravity duality
Kinetic theory
Chapman-Enskog approximation
Relaxation time approximation
Bulk and shear channel correlators in Yang-Mills theory
Setup and definitions
Correlators in the bulk channel
Correlators in the shear channel
Correlators to next-to-leading order
UV expansion of the correlators
Example: The two-loop sum-integral Ih7
The results
OPE expansion
Thermal spectral functions: Methods
Bulk channel
Matsubara sums and discontinuities
Factorized powerlike integrals
Factorized exponential integrals
Phase space integrals
Final result
Shear channel
Example calculation
Thermal spectral functions: Results
Bulk channel
Limits and numerical evaluation
Sum rules
Imaginary time correlators
Shear channel
Limits and numerical evaluation
Sum rule
Imaginary time correlator
Summary and conclusions
Master integrals
Integrands in the shear channel
References
Acknowledgements