Critical point of $N_f = 3$ QCD from lattice simulations in the canonical ensemble

Details Critical point of $N_f = 3$ QCD from lattice simulations in the canonical ensemble Critical point of $N_f = 3$ QCD from lattice simulations in the canonical ensemble

2011-03-15

arxiv.org/abs/1103.3045v2

Phys.Rev. D84 (2011) 071503

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 7 figures, references added, published version

Scientific paper

10.1103/PhysRevD.84.071503

A canonical ensemble algorithm is employed to study the phase diagram of $N_f = 3$ QCD using lattice simulations. We lock in the desired quark number sector using an exact Fourier transform of the fermion determinant. We scan the phase space below $T_c$ and look for an S-shape structure in the chemical potential, which signals the coexistence phase of a first order phase transition in finite volume. Applying Maxwell construction, we determine the boundaries of the coexistence phase at three temperatures and extrapolate them to locate the critical point. Using an improved gauge action and improved Wilson fermions on lattices with a spatial extent of $1.8 \fm$ and quark masses close to that of the strange, we find the critical point at $T_E = 0.925(5) T_c$ and baryon chemical potential $\mu_B^E = 2.60(8) T_c$.

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