553 research outputs found
Speeding up finite step-size updating of full QCD on the lattice
We propose various improvements of finite step-size updating for full QCD on
the lattice that might turn finite step-size updating into a viable alternative
to the hybrid Monte Carlo algorithm. These improvements are noise reduction of
the noisy estimator of the fermion determinant, unbiased inclusion of the
hopping parameter expansion and a multi-level Metropolis scheme. First
numerical tests are performed for the 2 dimensional Schwinger model with two
flavours of Wilson fermions and for QCD two flavours of Wilson fermions and
Schr"odinger functional boundary conditions.Comment: 22 pages, 1 figur
The 4D SU(3) gauge theory with an imaginary theta term
We study the scaling behavior of the 4D SU(3) lattice gauge theory in the
presence of a theta term, by Monte Carlo simulations computing the topological
properties at imaginary theta. The numerical results provide a good evidence of
scaling in the continuum limit. The imaginary theta dependence of the
ground-state energy turns out to be well described by the first few terms of
related expansions around theta=0, providing accurate estimates of the first
few coefficients, up to O(theta^6).Comment: 12 page
Model of Inhomogeneous Impurity Distribution in Fermi Superfluids
The standard treatment of impurities in metals assumes a homogeneous
distribution of impurities. In this paper we study distributions that are
inhomogeneous. We discuss in detail the "isotropic inhomogeneous scattering
model" which takes into account the spatially varying scattering on the scale
of the superfluid coherence length. On a large scale the model reduces to a
homogeneous medium with renormalized parameter values. We apply the model to
superfluid 3He, where porous aerogel acts as the impurity. We calculate the
transition temperature Tc, the order parameter, and the superfluid density.
Both A- and B-like phases are considered. Two different types of behavior are
identified for the temperature dependence of the order parameter. We compare
the calculations with experiments on 3He in aerogel. We find that most of the
differences between experiments and the homogeneous theory can be explained by
the inhomogeneous model. All our calculations are based on the quasiclassical
theory of Fermi liquids. The parameters of this theory for superfluid 3He in
aerogel are discussed.Comment: 14 pages, 9 figures, minor change
Topological susceptibility with the improved Asqtad action
As a test of the chiral properties of the improved Asqtad (staggered fermion)
action, we have been measuring the topological susceptibility as a function of
quark masses for 2 + 1 dynamical flavors. We report preliminary results, which
show reasonable agreement with leading order chiral perturbation theory for
lattice spacing less than 0.1 fm. The total topological charge, however, shows
strong persistence over Monte Carlo time.Comment: Lattice2002(algor
Chiral symmetry restoration in linear sigma models with different numbers of quark flavors
Chiral symmetry restoration at nonzero temperature is studied in the
framework of the O(4) linear sigma model and the U(N_f)_r x U(N_f)_l linear
sigma model with N_f=2,3, and 4 quark flavors. We investigate the temperature
dependence of the masses of the scalar and pseudoscalar mesons, and the
non-strange, strange, and charm condensates within the Hartree approximation as
derived from the Cornwall-Jackiw-Tomboulis formalism. We find that the masses
of the non-strange and strange mesons at nonzero temperature depend sensitively
on the particular symmetry of the model and the number of light quark flavors
N_f. On the other hand, due to the large charm quark mass, neither do charmed
mesons significantly affect the properties of the other mesons, nor do their
masses change appreciably in the temperature range around the chiral symmetry
restoration temperature. In the chiral limit, the transition temperatures for
chiral symmetry restoration are surprisingly close to those found in lattice
QCD.Comment: 28 pages, 8 figure
Lattice QCD at the physical point: Simulation and analysis details
We give details of our precise determination of the light quark masses
m_{ud}=(m_u+m_d)/2 and m_s in 2+1 flavor QCD, with simulated pion masses down
to 120 MeV, at five lattice spacings, and in large volumes. The details concern
the action and algorithm employed, the HMC force with HEX smeared clover
fermions, the choice of the scale setting procedure and of the input masses.
After an overview of the simulation parameters, extensive checks of algorithmic
stability, autocorrelation and (practical) ergodicity are reported. To
corroborate the good scaling properties of our action, explicit tests of the
scaling of hadron masses in N_f=3 QCD are carried out. Details of how we
control finite volume effects through dedicated finite volume scaling runs are
reported. To check consistency with SU(2) Chiral Perturbation Theory the
behavior of M_\pi^2/m_{ud} and F_\pi as a function of m_{ud} is investigated.
Details of how we use the RI/MOM procedure with a separate continuum limit of
the running of the scalar density R_S(\mu,\mu') are given. This procedure is
shown to reproduce the known value of r_0m_s in quenched QCD. Input from
dispersion theory is used to split our value of m_{ud} into separate values of
m_u and m_d. Finally, our procedure to quantify both systematic and statistical
uncertainties is discussed.Comment: 45 page
Perturbation Theory with a Variational Basis: the Generalized Gaussian Effective Potential
The perturbation theory with a variational basis is constructed and
analyzed.The generalized Gaussian effective potential is introduced and
evaluated up to the second order for selfinteracting scalar fields in one and
two spatial dimensions. The problem of the renormalization of the mass is
discussed in details. Thermal corrections are incorporated. The comparison
between the finite temperature generalized Gaussian effective potential and the
finite temperature effective potential is critically analyzed. The phenomenon
of the restoration at high temperature of the symmetry broken at zero
temperature is discussed.Comment: RevTex, 49 pages, 16 eps figure
Glueballs and the superfluid phase of Two-Color QCD
We present the first results on scalar glueballs in cold, dense matter using
lattice simulations of two color QCD. The simulations are carried out on a lattice and use a standard hybrid molecular dynamics algorithm for
staggered fermions for two values of quark mass. The glueball correlators are
evaluated via a multi-step smearing procedure. The amplitude of the glueball
correlator peaks in correspondence with the zero temperature chiral transition,
, and the propagators change in a significant way in the
superfluid phase, while the Polyakov loop is mearly insensitive to the
transition. Standard analysis suggest that lowest mass in the gluonic
channel decreases in the superfluid phase, but these observations need to be
confirmed on larger and more elongated lattices These results indicate that a
nonzero density induces nontrivial modifications of the gluonic medium.Comment: 26 pages, 13 figures; discussions and one figure added; to appear in
EPJ
Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
We study whether the pseudoscalar glueball mass in full QCD can differ from
the prediction of quenched lattice calculations. Using properties of the
correlator of the vacuum topological susceptibility we derive an expression for
the upper bound on the QCD glueball mass. We show that the QCD pseudoscalar
glueball is lighter than the pure Yang-Mills theory glueball studied in
quenched lattice calculations. The mass difference between those two states is
of order of . The value calculated for the QCD glueball mass
can not be reconciled with any physical state observed so far in the
corresponding channel. The glueball decay constant and its production rate in
radiative decays are calculated. The production rate is large enough
to be studied experimentally.Comment: 18 pages, LaTex fil
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