Description
Heavy ion collision experiments recreating the quark-gluon plasma that filled the microseconds-old universe have established that it is a nearly perfect liquid that flows with such minimal dissipation that it cannot be seen as made of particles. String theory provides a powerful toolbox for studying matter with such properties. This book provides a comprehensive introduction to gauge/string duality and its applications to the study of the thermal and transport properties of quark-gluon plasma, the dynamics of how it forms, the hydrodynamics of how it flows, and its response to probes including jets and quarkonium mesons. Calculations are discussed in the context of data from RHIC and LHC and results from finite temperature lattice QCD. The book is an ideal reference for students and researchers in string theory, quantum field theory, quantum many-body physics, heavy ion physics and lattice QCD.
Chapter
2.4 Quarkonia in hot matter
3 Results from lattice QCD at nonzero temperature
3.1 The QCD equation of state from the lattice
3.2 Transport coefficients from the lattice
3.3 Quarkonium spectrum from the lattice
4 Introducing the gauge/string duality
4.1 Motivating the duality
4.2 All you need to know about string theory
4.3 The AdS/CFT conjecture
5.1 Gauge/gravity duality
5.3 Correlation functions of local operators
5.5 Introducing fundamental matter
6 Bulk properties of strongly coupled plasma
6.1 Thermodynamic properties
6.3 Quasiparticles and spectral functions
6.4 Quasinormal modes and plasma relaxation
7 From hydrodynamics to far-from-equilibrium dynamics
7.1 Hydrodynamics and gauge/gravity duality
7.2 Constitutive relations from gravity
7.3 Introduction to far-from-equilibrium dynamics
7.4 Constructing far-from-equilibrium states
7.5 Isotropization of homogeneous plasma
7.6 Isotropization of homogeneous plasma, simplified
7.7 Hydrodynamization of boost-invariant plasma
7.8 Colliding sheets of energy
8 Probing strongly coupled plasma
8.1 Parton energy loss via a drag on heavy quarks
8.2 Momentum broadening of a heavy quark
8.3 Disturbance of the plasma induced by an energetic heavy quark
8.4 Stopping light quarks
8.5 Calculating the jet quenching parameter
8.6 Quenching a beam of strongly coupled gluons
8.7 Velocity scaling of the screening length and quarkonium suppression
9 Quarkonium mesons in strongly coupled plasma
9.1 Adding quarks to N=4 SYM
9.4 Quarkonium mesons in motion and in decay
9.5 Black hole embeddings
9.6 Two universal predictions
10 Concluding remarks and outlook
Appendix A Green–Kubo formula for transport coefficients
Appendix B Hawking temperature of a general black brane metric
Appendix C Holographic renormalization, one-point functions, and a two-point function
Appendix D Computation of the holographic stress tensor
D.1 Holographic stress tensor for the AdS black brane
D.2 Computation of the holographic stress tensor for the fluid metric