Frustration in Finite Density Qcd
نویسندگان
چکیده
We present a detailed analysis of the QCD partition function in the Grand Canonical formalism. Using the fugacity expansion we find evidence for numerical instabilities in the standard evaluation of its coefficients. We discuss the origin of this problem and propose an issue to it. The correct analysis shows no evidence for a discontinuity in the baryonic density in the strong coupling limit. The moderate optimism that was inspired by the Grand Canonical Partition Function calculations in the last years has to be considered ill-founded.
منابع مشابه
A pr 1 99 8 DFTUZ 98 / 11 Frustration in Finite Density
We present a detailed analysis of the QCD partition function in the Grand Canonical formalism. Using the fugacity expansion we find evidence for numerical instabilities in the standard evaluation of its coefficients. We discuss the origin of this problem and propose an issue to it. The correct analysis shows no evidence for a discontinuity in the baryonic density in the strong coupling limit. T...
متن کاملLattice QCD at finite T and μ
Recent results of lattice QCD at finite temperature and density are reviewed. At vanishing density the transition temperature, the equation of state and hadron properties are discussed both for the pure gauge theory and for dynamical staggered, Wilson and overlap fermions. The second part deals with finite density. There are recent results for full QCD at finite temperature and moderate density...
متن کاملQCD thermodynamics at finite density
Recent progress in extending finite temperature lattice QCD simulations from the T axis into the finite density plane is reviewed. The covered topics are a calculation of the transition line by multidimensional reweighting, screening mass calculations in dimensionally reduced QCD and simulations at imaginary μ.
متن کاملLattice QCD at finite isospin density
Nuclear matter has finite baryon number density, finite (negative) isospin density and, under certain conditions, finite (negative) strangeness density. Since having a finite chemical potential for baryon number makes the fermion determinant complex and simulations intractable, we restrict ourselves to zero baryon-number chemical potential. QCD at finite chemical potential μI for isospin (I3) a...
متن کاملFactorization Method for Simulating Qcd at Finite Density
We propose a new method for simulating QCD at finite density. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The so-called overlap problem is completely eliminated by the use of constrained simulations. We test this method in a Random Matrix Theory for finite density QCD, where...
متن کامل