47 research outputs found
Static pair free energy and screening masses from correlators of Polyakov loops: continuum extrapolated lattice results at the QCD physical point
We study the correlators of Polyakov loops, and the corresponding gauge
invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at
finite temperature. Our simulations were carried out on = 6, 8, 10, 12,
16 lattices using Symanzik improved gauge action and a stout improved staggered
action with physical quark masses. The free energies calculated from the
Polyakov loop correlators are extrapolated to the continuum limit. For the free
energies we use a two step renormalization procedure that only uses data at
finite temperature. We also measure correlators with definite Euclidean time
reversal and charge conjugation symmetry to extract two different screening
masses, one in the magnetic, and one in the electric sector, to distinguish two
different correlation lengths in the full Polyakov loop correlator
High-precision scale setting in lattice QCD
Scale setting is of central importance in lattice QCD. It is required to
predict dimensional quantities in physical units. Moreover, it determines the
relative lattice spacings of computations performed at different values of the
bare coupling, and this is needed for extrapolating results into the continuum.
Thus, we calculate a new quantity, , for setting the scale in lattice QCD,
which is based on the Wilson flow like the scale (M. Luscher, JHEP 1008
(2010) 071). It is cheap and straightforward to implement and compute. In
particular, it does not involve the delicate fitting of correlation functions
at asymptotic times. It typically can be determined on the few per-mil level.
We compute its continuum extrapolated value in 2+1-flavor QCD for physical and
non-physical pion and kaon masses, to allow for mass-independent scale setting
even away from the physical mass point. We demonstrate its robustness by
computing it with two very different actions (one of them with staggered, the
other with Wilson fermions) and by showing that the results agree for physical
quark masses in the continuum limit.Comment: 15 pages, 7 figures, 2 tables; Version published in JHE
Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
QCD thermodynamics with continuum extrapolated Wilson fermions II
We continue our investigation of 2+1 flavor QCD thermodynamics using dynamical Wilson fermions in the fixed scale approach. Two additional pion masses, approximately 440 MeV and 285 MeV, are added to our previous work at 545 MeV. The simulations were performed at 3 or 4 lattice spacings at each pion mass. The renormalized chiral condensate, strange quark number susceptibility and Polyakov loop is obtained as a function of the temperature and we observe a decrease in the light chiral pseudo-critical temperature as the pion mass is lowered while the pseudo-critical temperature associated with the strange quark number susceptibility or the Polyakov loop is only mildly sensitive to the pion mass. These findings are in agreement with previous continuum results obtained in the staggered formulation
Fluctuations of conserved charges at finite temperature from lattice QCD
We present the full results of the Wuppertal-Budapest lattice QCD
collaboration on flavor diagonal and non-diagonal quark number susceptibilities
with 2+1 staggered quark flavors, in a temperature range between 125 and 400
MeV. The light and strange quark masses are set to their physical values.
Lattices with Nt=6, 8, 10, 12, 16 are used. We perform a continuum
extrapolation of all observables under study. A Symanzik improved gauge and a
stout-link improved staggered fermion action is utilized. All results are
compared to the Hadron Resonance Gas model predictions: good agreement is found
in the temperature region below the transition.Comment: 13 pages, 8 figures in Jhep styl
New approach to lattice QCD at finite density: reweighting without an overlap problem
Approaches to finite baryon density lattice QCD usually suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We test a method - sign reweighting - that works directly at finite chemical potential and is yet free from any such uncontrolled systematics: with this approach the only problem is the sign problem itself. In practice the approach involves the generation of configurations with the positive fermionic weights given by the absolute value of the real part of the quark determinant, and a reweighting by a sign. There are only two sectors, +1 and -1 and as long as the average h±i ≠0 (with respect to the positive weight) this discrete reweighting has no overlap problem - unlike reweighting from μ = 0 - and the results are reliable. We also present results based on this algorithm on the phase diagram of lattice QCD with two different actions: as a first test, we apply the method to calculate the position of the critical endpoint with unimproved staggered fermions at Nτ = 4; as a second application, we study the phase diagram with 2stout improved staggered fermions at Nτ = 6. This second one is already a reasonably fine lattice - relevant for phenomenology. We demonstrate that the method penetrates the region of the phase diagram where the Taylor and imaginary chemical potential methods lose predictive power