Lattice Simulations with Chemical Potential
نویسنده
چکیده
After giving an overview of recently invented methods for simulating lattice QCD at small µ/T , we discuss some results for bulk thermodynamic quantities of QCD matter coming from those methods. We focus on the transition line and the critical endpoint in the QCD phase diagram.
منابع مشابه
D ec 1 99 6 Lattice Gauge Theory Simulations at Nonzero Chemical Potential in the Chiral Limit
We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of massless fermions is well-behaved and physical. Using configurations at zero chemical potential, and an exact fugacity expansion of the fermion determinant, we ca...
متن کاملComparing matrix models and QCD lattice data with chemical potential
We present a quantitative analysis of the microscopic Dirac spectrum which is complex in the presence of a nonvanishing quark chemical potential. Data from quenched SU(3) lattice simulations for different volumes V and small values of the chemical potential μ are compared to analytical predictions from matrix models. We confirm the existence of two distinct limits for weakly and strongly nonher...
متن کاملLattice QCD at finite density: imaginary chemical potential
I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential. I review motivations and merits of the different strategies – Taylor expansion, Fourier analysis and Pade’ approximants – for analytic continuation from imaginary to real chemical potential. I consider phenomenologic...
متن کاملEquation of state for two - flavor QCD with an improved Wilson quark action at non - zero chemical potential
The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by using the staggered-type fermion actions. Therefore it is important to carry out studies using different fermion formulations to test the uncertainties of the ...
متن کاملHydraulic fracture propagation: analytical solutions versus Lattice simulations
In this work, we used a grain-based numerical model based on the concept of lattice. The modelling was done to simulate the lab experiments carried out on the mortar samples. Also the analytical solutions corresponding to the viscosity-dominated regime were used to estimate the fracture length and width, and the results obtained were compared with the numerical simulations. As the analytical so...
متن کاملTesting Imaginary Vs . Real Chemical Potential in Finite - Temperature Qcd
One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical observables only afterwards. We test the practical feasibility of such an approach for a particular class of physical observables, spatial correlation lengths...
متن کامل