Quark Hadron Duality at Finite Temperature

Abstract

At low temperatures we expect that all QCD observables are defined in terms of hadrons. This includes the partition function as well as the Polyakov loop in all representations. We analyze the physics underlying a microscopic derivation of the hadron resonance gas.

arXiv comment46 pages, Presented by ERA at the LIV Cracow School of Theoretical Physics on QCD meets experiment. June 12-20, 2014

References in corpus (88)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• The chiral and deconfinement aspects of the QCD transition
• Full result for the QCD equation of state with 2+1 flavors
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The QCD transition temperature: results with physical masses in the continuum limit
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Properties and uses of the Wilson flow in lattice QCD
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• Ab-initio Determination of Light Hadron Masses
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The QCD transition temperature: results with physical masses in the continuum limit II.
• More about exactly massless quarks on the lattice
• Equation of state and QCD transition at finite temperature
• QCD Equation of State and Hadron Resonance Gas
• Non-perturbative O(a) improvement of lattice QCD
• The index theorem in QCD with a finite cut-off
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• 2+1 Flavor Lattice QCD toward the Physical Point
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Infinite N phase transitions in continuum Wilson loop operators
• High-Precision Lattice QCD Confronts Experiment
• The transition temperature in QCD
• Perfect lattice action for asymptotically free theories
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Hadron Resonance Mass Spectrum and Lattice QCD Thermodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Lattice QCD without topology barriers
• O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
• Finite volume effects for meson masses and decay constants
• Scaling studies of QCD with the dynamical HISQ action
• Perfect Lattice Actions for Quarks and Gluons
• Electromagnetic Splittings and Light Quark Masses in Lattice QCD
• Light Hadron Masses from Lattice QCD
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• The pion mass in finite volume
• The classically perfect fixed point action for SU(3) gauge theory
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations
• Staggered eigenvalue mimicry
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• Meson and baryon spectrum for QCD with two light dynamical quarks
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scaling tests with dynamical overlap and rooted staggered fermions
• Ginsparg-Wilson Relation and Ultralocality
• On The Finite Temperature Chern-Simons Coefficient
• Observations on staggered fermions at non-zero lattice spacing
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Precision study of the SU(3) topological susceptibility in the continuum
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Creutz Fermions on an Orthogonal Lattice
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• Effects of staggered fermions and mixed actions on the scalar correlator
• Chiral anomalies and rooted staggered fermions
• Scalar Meson Spectroscopy with Lattice Staggered Fermions
• Physics issues in simulations with dynamical overlap fermions
• Effective field theories for QCD with rooted staggered fermions
• Comment on "Chiral anomalies and rooted staggered fermions"
• Lattice fermions with complex mass
• Equation of state in 2+1 flavor QCD with improved Wilson quarks by the fixed scale approach
• QCD thermodynamics with dynamical overlap fermions
• Topology with Dynamical Overlap Fermions
• On the fourth root prescription for dynamical staggered fermions
• Single flavor staggered fermions
• Finite volume effects for nucleon and heavy meson masses
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory
• Validity of the Rooted Staggered Determinant in the continuum limit
• Perturbation Theory for Fat-link Fermion Actions
• The pion and proton mass in finite volume
• The author replies
• Taste-split staggered actions: eigenvalues, chiralities and Symanzik improvement
• Physics of eta-prime with rooted staggered quarks
• Power-counting theorem for staggered fermions
• Confinement and Chiral Symmetry
• The Quenched Continuum Limit

Cited by in corpus (19)

• Cancellation of the sigma meson in thermal models
• Matching the Hagedorn mass spectrum with Lattice QCD results
• Jarzynski's theorem for lattice gauge theory
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• S-matrix formulation of thermodynamics with N-body scatterings
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Counting states and the Hadron Resonance Gas: Does X(3872) count?
• Fractal aspects of hadrons
• Is the X(3872) a bound state ?
• Heavy quark-antiquark free energy and thermodynamics of string-hadron avoided crossings
• On the precise measurement of the $X(3872)$ mass and its counting rate
• Baryonic susceptibilities, quark-diquark models, and quark-hadron duality at finite temperature
• Quark-diquark string tension, excited baryonic resonances and thermal fluctuations
• Heavy $\bar{Q}Q$ free energy from hadronic states
• Fluctuations and correlations in thermal QCD
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Quark-diquark models and baryonic fluctuations in QCD
• Limits on hadron spectrum from bulk medium properties
• Heavy Quark Coupled Channel Dynamics from Thermal Shifts