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The Four-Fermi Model in Three Dimensions at Non-Zero Density and Temperature

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abstract

The Four Fermi model with discrete chiral symmetry is studied in three dimensions at non-zero chemical potential and temperature using the Hybrid Monte Carlo algorithm. The number of fermion flavors is chosen large $(N_f=12)$ to compare with analytic results. A first order chiral symmetry restoring transition is found at zero temperature with a critical chemical potential $\mu_c$ in good agreement with the large $N_f$ calculations. The critical index $\nu$ of the correlation length is measured in good agreement with analytic calculations. The two dimensional phase diagram (chemical potential vs. temperature) is mapped out quantitatively. Finite size effects on relatively small lattices and non-zero fermion mass effects are seen to smooth out the chiral transition dramatically.

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Critical point signatures in the cluster expansion in fugacities

hep-ph · 2019-09-05 · conditional · novelty 7.0

In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.

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  • Critical point signatures in the cluster expansion in fugacities hep-ph · 2019-09-05 · conditional · none · ref 40 · internal anchor

    In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.