Probing the finite density equation of state of QCD via resummed perturbation theory

Abstract

In this Ph.D. thesis, the primary goal is to present a recent investigation of the finite density thermodynamics of hot and dense quark-gluon plasma. As we are interested in a temperature regime, in which naive perturbation theory is known to lose its predictive power, we clearly need to use a refined approach. To this end, we adopt a resummed perturbation theory point of view and employ two different frameworks. We first use hard-thermal-loop perturbation theory (HLTpt) at leading order to obtain the pressure for nonvanishing quark chemical potentials, and next, inspired by dimensional reduction, resum the known four-loop weak coupling expansion for the quantity. We present and analyze our findings for various cumulants of conserved charges. This provides us with information, through correlations and fluctuations, on the degrees of freedom effectively present in the quark-gluon plasma right above the deconfinement transition. Moreover, we compare our results with state-of-the-art lattice Monte Carlo simulations as well as with a recent three-loop mass truncated HTLpt calculation. We obtain very good agreement between the two different perturbative schemes, as well as between them and lattice data, down to surprisingly low temperatures right above the phase transition. We also quantitatively test the convergence of an approximation, which is used in higher order loop calculations in HTLpt. This method based on expansions in mass parameters, is unavoidable beyond leading order, thus motivating our investigation. We find the ensuing convergence to be very fast, validating its use in higher order computations.

arXiv comment83 pages, 15 figures, PhD thesis

References in corpus (43)

• The chiral and deconfinement aspects of the QCD transition
• QCD and strongly coupled gauge theories: challenges and perspectives
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• On the sign of kurtosis near the QCD critical point
• First Results from Pb+Pb collisions at the LHC
• Fluctuations of conserved charges at finite temperature from lattice QCD
• Quark mass thresholds in QCD thermodynamics
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• Screened Perturbation Theory
• Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
• Freeze-out parameters: lattice meets experiment
• Static correlation lengths in QCD at high temperatures and finite densities
• On the running coupling constant in QCD
• Controlling complex Langevin dynamics at finite density
• Three-loop HTL QCD thermodynamics
• Strangeness at high temperatures: from hadrons to quarks
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories
• Determination of alpha_s from the QCD static energy
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Quark number susceptibilities of hot QCD up to g^6ln(g)
• Quark number susceptibilities at high temperatures
• Two-loop HTL pressure at finite temperature and chemical potential
• Quark Number Susceptibility in Hard Thermal Loop Approximation
• Mass Expansions of Screened Perturbation Theory
• Are there hadronic bound states above the QCD transition temperature?
• Thermodynamics of the QCD transition from lattice
• Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
• Quark number susceptibilities from resummed perturbation theory
• α_S from $F_{\pi }$ and Renormalization Group Optimized Perturbation
• Hadronic Fluctuations and Correlations
• Perturbative QCD at non-zero chemical potential: Comparison with the large-Nf limit and apparent convergence
• Lambda^{QCD}_{MS} from Renormalization Group Optimized Perturbation
• Ultrasoft Fermionic Modes at High Temperature
• Conserved Density Fluctuation and Temporal Correlation Function in HTL Perturbation Theory
• Probing the States of Matter in QCD
• Baryon number and charge fluctuations from lattice QCD
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• The N_f^3 g^6 term in the pressure of hot QCD
• Highlights from BNL-RHIC
• QCD bulk thermodynamics and conserved charge fluctuations with HISQ fermions
• Two-color QCD via dimensional reduction
• Quark number fluctuations at high temperatures

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