293 research outputs found
Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model
We study the strange quark mass dependence of the tricritical point of the
U(3)_L x U(3)_R linear sigma model in the chiral limit. Assuming that the
tricritical point is at a large strange mass value, the strange sector as well
as the \eta-a_0 sector decouples from the light degrees of freedom which
determines the thermodynamics. By tracing this decoupling we arrive from the
original U(3)_L x U(3)_R symmetric model, going through the U(2)_L x U(2)_R
symmetric one, at the SU(2)_L x SU(2)_R linear sigma model. One-loop level beta
functions for the running of the parameters in each of these models and
tree-level matching of the coupling of these models performed at intermediate
scales are used to determine the influence of the heavy sector on the
parameters of the SU(2)_L x SU(2)_R linear sigma model. By investigating the
thermodynamics of this latter model we identified the tricritical surface of
the U(3)_L x U(3)_R linear sigma model in the chiral limit. To apply the
results for QCD we used different scenarios for the m_s and \mu_q dependence of
the effective model parameters, then the \mu_q^TCP(m_s) function can be
determined. Depending on the details, a curve bending upwards or downwards near
\mu_q=0 can be obtained, while with explicit chemical potential dependence of
the parameters the direction of the curve can change with m_s, too.Comment: 17 pages, 6 figures, uses revtex4-
A simple ansatz to describe thermodynamic quantities of peptides and proteins at low temperatures
We describe a simple ansatz to approximate the low temperature behavior of
proteins and peptides by a mean-field-like model which is analytically
solvable. For a small peptide some thermodynamic quantities are calculated and
compared with numerical results of an all-atoms simulation. Our approach can be
used to determine the weights for a multicanonical simulation of the molecule
under consideration.Comment: 11 pages, Latex, 4 Postscript figures, to appear in Int. J. Mod.
Phys. C (1997
How the PHMC algorithm samples configuration space
We show that in practical simulations of lattice QCD with two dynamical light
fermion species the PHMC algorithm samples configuration space differently from
the commonly used HMC algorithm.Comment: 3 pages, 2 figures, LATTICE98 (Algorithms
Remarks on the Gribov Problem in Direct Maximal Center Gauge
We review the equivalence of maximal center gauge fixing to the problem of
finding the best fit, to a given lattice gauge field, by a thin vortex
configuration. This fit is necessarily worst at the location of P-plaquettes.
We then compare the fits achieved in Gribov copies generated by (i)
over-relaxation; (ii) over-relaxation after Landau gauge preconditioning; and
(iii) simulated annealing. Simulated annealing yields the best fit if all links
on the lattice are included, but the situation changes if we consider only the
lattice volume exterior to P-plaquettes. In this exterior region, the fit is
best for Gribov copies generated by over-relaxation, and worst for Gribov
copies generated after Landau gauge preconditioning. The two fitting criteria
(including or not including the P-plaquettes) yield string tensions differing
by -34% to +20% respectively, relative to the full string tension. Our usual
procedure (``quenched minimization'') seems to be a compromise between these
criteria, and yields string tensions at an intermediate value close to the full
string tension.Comment: 14 pages, 6 figure
't Hooft Loops, Electric Flux Sectors and Confinement in SU(2) Yang-Mills Theory
We use 't Hooft loops of maximal size on finite lattices to calculate the
free energy in the sectors of SU(2) Yang-Mills theory with fixed electric flux
as a function of temperature and (spatial) volume. Our results provide evidence
for the mass gap. The confinement of electric fluxes in the low temperature
phase and their condensation in the high temperature phase are demonstrated. In
a surprisingly large scaling window around criticality, the transition is
quantitatively well described by universal exponents and amplitude ratios
relating the properties of the two phases.Comment: 5 Pages, LaTeX 2.09 (uses revtex v3.1), 5 Figures (epsfig), revised
version to appear in Phys. Rev.
A Study of Meson Correlators at Finite Temperature
We present results for mesonic propagators in temporal and spatial directions
at T below and above the deconfining transition in quenched QCD. Anisotropic
lattices are used to get enough information in the temporal direction. We use
the Wilson fermion action for light quarks and Fermilab action for heavy
quarks.Comment: LATTICE 99 (finite temperature and density), 3 pages, LaTeX with 3
eps figures, espcrc2.sty, psfig.st
Ordering monomial factors of polynomials in the product representation
The numerical construction of polynomials in the product representation (as
used for instance in variants of the multiboson technique) can become
problematic if rounding errors induce an imprecise or even unstable evaluation
of the polynomial. We give criteria to quantify the effects of these rounding
errors on the computation of polynomials approximating the function . We
consider polynomials both in a real variable and in a Hermitian matrix. By
investigating several ordering schemes for the monomials of these polynomials,
we finally demonstrate that there exist orderings of the monomials that keep
rounding errors at a tolerable level.Comment: Latex2e file, 7 figures, 32 page
Testing Algorithms for Finite Temperature Lattice QCD
We discuss recent algorithmic improvements in simulating finite temperature
QCD on a lattice. In particular, the Rational Hybrid Monte Carlo(RHMC)
algorithm is employed to generate lattice configurations for 2+1 flavor QCD.
Unlike the Hybrid R Algorithm, RHMC is reversible, admitting a Metropolis
accept/reject step that eliminates the errors
inherent in the R Algorithm. We also employ several algorithmic speed-ups,
including multiple time scales, the use of a more efficient numerical
integrator, and Hasenbusch pre-conditioning of the fermion force.Comment: 4 pages, 2 figures, poster presented at International Conference on
Strong and Electroweak Matter 2006 (SEWM2006), BNL, May 10-13, 200
Nuclear Physics from lattice QCD at strong coupling
We study numerically the strong coupling limit of lattice QCD with one flavor
of massless staggered quarks. We determine the complete phase diagram as a
function of temperature and chemical potential, including a tricritical point.
We clarify the nature of the low temperature dense phase, which is strongly
bound nuclear matter. This strong binding is explained by the nuclear
potential, which we measure. Finally, we determine, from this first-principle
limiting case of QCD, the masses of atomic nuclei up to A=12 "carbon".Comment: 4 pages, 5 figures; v2: references added, minor changes, published
versio
Fermion loop simulation of the lattice Gross-Neveu model
We present a numerical simulation of the Gross-Neveu model on the lattice
using a new representation in terms of fermion loops. In the loop
representation all signs due to Pauli statistics are eliminated completely and
the partition function is a sum over closed loops with only positive weights.
We demonstrate that the new formulation allows to simulate volumes which are
two orders of magnitude larger than those accessible with standard methods
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