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Finite dt dependence of the Binder cumulants for 3-flavor QCD at finite temperature and isospin density | | J. B. Kogut
; D. K. Sinclair
; | | Date: |
4 Apr 2005 | | Subject: | hep-lat | | Abstract: | We simulate 3-flavour lattice QCD at small isospin chemical potential $mu_I$ and finite temperature $T$. At $mu_I=0$ there is a critical mass $m_c$ where the finite-temperature transition changes from first order to a crossover. We measure the $mu_I$ dependence of the transition $eta$ ($eta_c$) for $m$ close to $m_c$. $eta_c$ and hence $T_c$ decrease slowly with increasing $mu_I$. $eta_c$ at finite $mu_I$ is in good agreement $eta_c$ at finite $mu$ (quark-number chemical potential). We use fourth-order Binder cumulants to determine the nature of this transition and to search for a critical endpoint. We measure the $dt$ dependence of these cumulants and extrapolate to $dt=0$. ($dt$ is the `time’ increment used in the hybrid molecular-dynamics simulations.) Preliminary measurements of these Binder cumulants show little $mu_I$ dependence. (Simulations at imaginary $mu$ indicate that the $mu$ dependence of the Binder cumulants is also weak.) This contrasts to the $mu_I$ dependence we observed at fixed $dt$. | | Source: | arXiv, hep-lat/0504003 | | Services: | Forum | Review | PDF | Favorites | |
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