Series representation; Pade' approximants and critical behavior in QCD at nonzero T and $mu_B$

Details Series representation; Pade' approximants and critical behavior in QCD at nonzero T and $mu_B$ Series representation; Pade' approximants and critical behavior in QCD at nonzero T and $mu_B$

2005-09-29

arxiv.org/abs/hep-lat/0509181v2

PoS LAT2005 (2005) 168

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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.

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