QCD thermodynamics on the lattice

Abstract

A remarkable progress has been made in the understanding of the hot and dense QCD matter using lattice gauge theory. The issues which are very well understood as well those which require both conceptual as well as algorithmic advances are highlighted. The recent lattice results on QCD thermodynamics which are important in the context of the heavy ion experiments are reviewed. Instances of greater synergy between the lattice theory and the experiments in the recent years are discussed where lattice results could be directly used as benchmarks for experiments and results from the experiments would be a crucial input for lattice computations.

26 pages, almost matches the published version

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• Thermodynamics of SU(3) Lattice Gauge Theory
• The QCD equation of state with dynamical quarks
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• Critical point of QCD at finite T and μ, lattice results for physical quark masses
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• QCD at finite isospin density
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• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The index theorem in QCD with a finite cut-off
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• A new method to study lattice QCD at finite temperature and chemical potential
• Fluctuation Probes of Quark Deconfinement
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Chiral Fermions on the Lattice
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The Pressure in 2, 2+1 and 3 Flavour QCD
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• The QCD phase diagram at nonzero quark density
• Imaginary chemical potential and finite fermion density on the lattice
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Equation of State for physical quark masses
• The QCD equation of state at nonzero densities: lattice result
• Testing improved actions for dynamical Kogut-Susskind quarks
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• Results on Finite Density QCD
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• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
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• Fluctuations, strangeness and quasi-quarks in heavy-ion collisions from lattice QCD
• QCD and the Chiral Critical Point
• Two flavor QCD and Confinement
• The quenched limit of lattice QCD at non-zero baryon number
• Improved staggered quark actions with reduced flavour symmetry violations for lattice QCD
• Thermodynamics of Four-Flavour QCD with Improved Staggered Fermions
• Phase structure of finite temperature QCD in the heavy quark region
• Goldstone-mode effects and scaling function for the three-dimensional O(4) model
• The isentropic equation of state of 2-flavor QCD
• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Equation of state at finite temperature and chemical potential, lattice QCD results
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Thermal momentum distribution from path integrals with shifted boundary conditions
• Overlap Dirac operator at nonzero chemical potential and random matrix theory
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• Breakdown of staggered fermions at nonzero chemical potential
• Equation of state and Goldstone-mode effects of the three-dimensional O(2) model
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• QCD thermodynamics with dynamical overlap fermions
• Quark number susceptibilities from resummed perturbation theory
• Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms
• Scaling functions for O(4) in three dimensions
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• A Random Matrix Study of the QCD Sign Problem
• The QCD Critical Point : marching towards continuum
• QCD thermodynamics with nonzero chemical potential at $N_t=6$ and effects from heavy quarks
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Thermodynamics of the ideal overlap quarks on the lattice
• Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach
• Lattice QCD Thermodynamics on the Grid
• A faster method of computation of lattice quark number susceptibilities
• Exact chiral invariance at finite density on the lattice
• Introduction of the chemical potential in the overlap formalism

Cited by in corpus (8)

• Hamiltonian simulation of the Schwinger model at finite temperature
• Angular Momentum in QGP Holography
• Continuum study on QCD phase diagram through an OPE-modified gluon propagator
• One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
• Thermodynamics of the Glueball Resonance Gas
• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• Gravitational Waves from the Cosmological Quark-Hadron Phase Transition Revisited
• From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma