Reliability of Taylor expansions in QCD

Abstract

We investigate the reliability of the Taylor expansion method in QCD with isospin chemical potentials using lattice simulations. By comparing the expansion of the number density to direct results, the range of validity of the leading- and next-to-leading order expansions is determined. We also elaborate on the convergence properties of the Taylor series by comparing the leading estimate for the radius of convergence to the position of the nearest singularity, i.e. the onset of pion condensation. Our results provide a handle for quantifying the uncertainties of Taylor expansions in baryon chemical potentials.

8 pages, 8 figures; v2: typos corrected, reference list updated, discussion on finite size effects clarified

References in corpus (10)

• The QCD equation of state with dynamical quarks
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• QCD at finite chemical potential with six time slices
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• QCD phase diagram for nonzero isospin-asymmetry
• QCD Critical Point and Complex Chemical Potential Singularities
• Magnetic structure of isospin-asymmetric QCD matter in neutron stars
• Complex Langevin dynamics and other approaches at finite chemical potential
• Towards finite density QCD with Taylor expansions
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$

Cited by in corpus (14)

• Meson condensation
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
• Pion condensation in the early Universe at nonvanishing lepton flavor asymmetry and its gravitational wave signatures
• Reliable estimation of the radius of convergence in finite density QCD
• Pion crystals hosting topologically stable baryons
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Critical point and Bose-Einstein condensation in pion matter
• Exploring the QCD phase diagram via reweighting from isospin chemical potential
• Dirac spectrum and the BEC-BCS crossover in QCD at nonzero isospin asymmetry