Spectral and transport properties from lattice QCD
arXiv:2206.14676 · doi:10.1007/978-3-030-95491-8_8
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].
arXiv commentLectures 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 (52)
- From AdS/CFT correspondence to hydrodynamics
- Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
- Photon Emission from Quark-Gluon Plasma: Complete Leading Order Results
- Hadronic Z- and tau-Decays in Order alpha_s^4
- Perturbative analysis of the gradient flow in non-abelian gauge theories
- Photon Emission from Ultrarelativistic Plasmas
- Trivializing maps, the Wilson flow and the HMC algorithm
- Infinite N phase transitions in continuum Wilson loop operators
- Detailed measurement of the e+e- pair continuum in p+p and Au+Au collisions at sqrt(s_NN)=200 GeV and implications for direct photon production
- Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
- Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
- A novel Bayesian approach to spectral function reconstruction
- Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
- Charmonium properties in hot quenched lattice QCD
- Charmonium at high temperature in two-flavor QCD
- Heavy Quarkonium in Extreme Conditions
- Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in Yang Mills Theory
- A non-perturbative estimate of the heavy quark momentum diffusion coefficient
- Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma
- Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
- Heavy Quark Diffusion from the Lattice
- Continuum and lattice meson spectral functions at nonzero momentum and high temperature
- Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case
- A resummed perturbative estimate for the quarkonium spectral function in hot QCD
- Asymptotics of thermal spectral functions
- Lattice QCD constraints on the heavy quark diffusion coefficient
- Källén-Lehmann spectroscopy for (un)physical degrees of freedom
- Infinite temperature limit of meson spectral functions calculated on the lattice
- Thermal dilepton rates and electrical conductivity of the QGP from the lattice
- Towards flavour diffusion coefficient and electrical conductivity without ultraviolet contamination
- Quarkonium at finite temperature: Towards realistic phenomenology from first principles
- A way to estimate the heavy quark thermalization rate from the lattice
- Charge transport and vector meson dissociation across the thermal phase transition in lattice QCD with two light quark flavors
- Spectral densities for hot QCD plasmas in a leading log approximation
- Perturbative and Nonperturbative Renormalization in Lattice 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
- Lattice constraints on the thermal photon rate
- A gauge invariant Debye mass and the complex heavy-quark potential
- 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
- A first look at Bottomonium melting via a stochastic potential
- Electromagnetic Probes at RHIC-II
- R(s) and hadronic tau-Decays in Order alpha_s^4: technical aspects
- Stochastic reconstructions of spectral functions: Application to lattice QCD
- Gradient-flowed thermal correlators: how much flow is too much?
- In-medium dispersion relations of charmonia studied by maximum entropy method
- The rate of photon production in the quark-gluon plasma from lattice QCD
- Sparse modeling approach to obtaining the shear viscosity from smeared correlation functions
- Charmonium and bottomonium spectral functions in the vector channel
- 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