Spectral and transport properties from lattice QCD

Abstract

In these lecture notes we will discuss recent progress in extracting spectral and transport properties from lattice QCD. We will focus on results of probes of the thermal QCD medium as well as transport coefficients which are important ingredients for hydrodynamic and transport models that describe the evolution of the produced medium. These include electromagnetic probes, like the rates of emitted photons and dileptons, quarkonium spectral functions as well as transport coefficients like the electrical conductivity or heavy flavor diffusion coefficients of the quark gluon plasma (QGP). All these real time quantities are encoded in the vector meson spectral function. A direct determination of the spectral functions is not possible in Euclidean lattice QCD calculations but they can be analytically continued from imaginary to real time. Therefore it is possible to relate the spectral function to the corresponding Euclidean correlation functions. In the following sections we will discuss the procedure to determine the required correlation functions and the extraction of the spectral functions from lattice QCD correlators. We will illustrate the concepts and methods to obtain spectral functions and related physical observables from continuum extrapolated correlation functions. We will focus here on results obtained from continuum extrapolated lattice correlation functions, which requires large and fine lattices, which so far was only possible in quenched approximation. We will only give a brief introduction to lattice QCD and refer to the textbooks [1,2,3,4] and lecture notes [5] for more detailed introductions to lattice field theory. For the topics addressed in this lecture note we also like to refer to the overview articles on QCD thermodynamics and the QCD phase transition [5,6,7] and quarkonium in extreme conditions [8].

Lectures delivered at the 53rd Karpacz Winter School of Theoretical Physics, February 26th - March 4th, 2017, Karpacz, Poland; submitted to Lecture Notes in Physics (LNP, volume 999), ISBN: 978-3-030-95490-1

References in corpus (17)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Infinite N phase transitions in continuum Wilson loop operators
• Charmonium properties in hot quenched lattice QCD
• Charmonium at high temperature in two-flavor QCD
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• Heavy quark momentum diffusion from the lattice using gradient flow
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Low Mass Thermal Dilepton Production at NLO in a Weakly Coupled Quark-Gluon Plasma
• Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
• Thermal quarkonium physics in the pseudoscalar channel
• Electromagnetic Probes at RHIC-II
• In-medium dispersion relations of charmonia studied by maximum entropy method
• Sparse modeling approach to obtaining the shear viscosity from smeared correlation functions
• Overview of the QCD phase diagram -- Recent progress from the lattice

Cited by in corpus (5)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Thermoelectric effects of an interacting hadron gas in the presence of an external magnetic field
• Study of quarkonium in QGP from unquenched lattice QCD
• Study of charm and beauty in QGP from unquenched lattice QCD