Series representation; Pade' approximants and critical behavior in QCD at nonzero T and $m{u}_B$

Abstract

We discuss the analytic continuation beyond $\mu /T\simeq 1$ in QCD at nonzero T and $\mu$ by use of the Pade' approximants. The slope of the critical line obtained in this way increases at large $\mu$ with respect to the second order Taylor result.In the hot phase Pade' and Taylor approximants coincide, suggesting a very large, and possibly infinite, radius of convergence of the Taylor series in this thermodynamic region.

arXiv comment6 pages, 4 figures; contributed talk at Lattice 2005, Non-zero temperature and density

References in corpus (1)

• QCD at High Temperature : Results from Lattice Simulations with an Imaginary mu

Cited by in corpus (7)

• Lattice QCD at finite temperature and density
• Analytic continuation from imaginary to real chemical potential in two-color QCD
• Apparent convergence of Padé approximants for the crossover line in finite density QCD
• The QCD phase diagram at zero and small baryon density
• Lattice QCD at finite density: imaginary chemical potential
• Hadronic fluctuations and correlations at nonzero chemical potential
• Phase transitions at finite density