Real and Imaginary Chemical Potential in 2-color Qcd
نویسندگان
چکیده
In this paper we study the finite temperature SU(2) gauge theory with staggered fermions for non-zero imaginary and real chemical potential. The method of analytical continuation of Monte Carlo results from imaginary to real chemical potential is tested by comparison with simulations performed directly for real chemical potential. We discuss the applicability of the method in the different regions of the phase diagram in the temperature – imaginary chemical potential plane.
منابع مشابه
Analytic continuation from imaginary to real chemical potential in two-color QCD
The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign problem. We find that the method gives reliable results, within appropriate ranges of the chemical potential, and that a considerable improvement can be achiev...
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 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 کاملThe 3-state Potts model as a heavy quark finite density laboratory
The 3-D Z(3) Potts model is a model for finite temperature QCD with heavy quarks. The chemical potential in QCD becomes an external magnetic field in the Potts model. Following Alford et al.[3], we revisit this mapping, and determine the phase diagram for an arbitrary chemical potential, real or imaginary. Analytic continuation of the phase transition line between real and imaginary chemical po...
متن کاملNew possibilities for QCD at nite density
I review the growing theoretical indications that at high densities color SU(3) gauge symmetry is spontaneously broken by the formation of a quark pair condensate. This leads to a rich phase structure for QCD as a function of temperature and chemical potential. I also discuss the prospects for lattice QCD calculations at nite density, including the Glasgow algorithm and imaginary chemical poten...
متن کامل