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Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation

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arxiv 1805.02960 v1 pith:3V4CKLR7 submitted 2018-05-08 hep-lat hep-phhep-th

Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation

classification hep-lat hep-phhep-th
keywords analyticcontinuationcurvatureexpansiontaylorcontinuumdiscretizationkappa
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We determine the curvature of the pseudo-critical line of $N_f = 2 + 1$ QCD with physical quark masses via Taylor expansion in the quark chemical potentials. We adopt a discretization based on stout improved staggered fermions and the tree level Symanzik gauge action; the location of the pseudocritical temperature is based on chiral symmetry restoration. Simulations are performed on lattices with different temporal extent ($N_t = 6, 8, 10$), leading to a continuum extrapolated curvature $\kappa = 0.0145(25)$, which is in very good agreement with the continuum extrapolation obtained via analytic continuation and the same discretization, $\kappa = 0.0135(20)$. This result eliminates the possible tension emerging when comparing analytic continuation with earlier results obtained via Taylor expansion.

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