28,972 research outputs found
Deconfinement and Chiral Restoration in Hot and Dense Matter
We propose a picture that the chiral phase transition at zero quark mass and
the deconfinement transition at infinite quark mass are continuously connected.
This gives a simple interpretation on the coincidence of the pseudo-critical
temperatures observed in lattice QCD. We discuss a possible dynamical mechanism
behind the simultaneous crossovers and show the results in a model study.Comment: Contributed to the XXII International Symposium on Lattice Field
Theory (Lattice2004(nonzero)), Batavia, Illinois, Jun 21-26, 200
Relation between color-deconfinement and chiral restoration
We discuss the relation between the Polyakov loop and the chiral order
parameter at finite temperature by using an effective model. We clarify why and
how the pseudo-critical temperature associated with the Polyakov loop should
coincide with that of the chiral condensate.Comment: Contributed to the XXI International Symposium on Lattice Field
Theory (Lattice2003(nonzero)), Tsukuba, July 15-19, 200
A New Method of the High Temperature Series Expansion
We formulate a new method of performing high-temperature series expansions
for the spin-half Heisenberg model or, more generally, for SU() Heisenberg
model with arbitrary . The new method is a novel extension of the
well-established finite cluster method. Our method emphasizes hidden
combinatorial aspects of the high-temperature series expansion, and solves the
long-standing problem of how to efficiently calculate correlation functions of
operators acting at widely separated sites. Series coefficients are expressed
in terms of cumulants, which are shown to have the property that all deviations
from the lowest-order nonzero cumulant can be expressed in terms of a
particular kind of moment expansion. These ``quasi-moments'' can be written in
terms of corresponding ``quasi-cumulants'', which enable us to calculate
higher-order terms in the high-temperature series expansion. We also present a
new technique for obtaining the low-order contributions to specific heat from
finite clusters.Comment: 20 pages, 30 figures, to appear in J. Stat. Phy
Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD
We exposit the eigenvalue distribution of the lattice Dirac operator in
Quantum Chromodynamics with two colors (i.e. two-color QCD). We explicitly
calculate all the eigenvalues in the presence of finite quark chemical
potential \mu for a given gauge configuration on the finite-volume lattice.
First, we elaborate the Banks-Casher relations in the complex plane extended
for the diquark condensate as well as the chiral condensate to relate the
eigenvalue spectral density to the physical observable. Next, we evaluate the
condensates and clarify the characteristic spectral change corresponding to the
phase transition. Assuming the strong coupling limit, we exhibit the numerical
results for a random gauge configuration in two-color QCD implemented by the
staggered fermion formalism and confirm that our results agree well with the
known estimate quantitatively. We then exploit our method in the case of the
Wilson fermion formalism with two flavors. Also we elucidate the possibility of
the Aoki (parity-flavor broken) phase and conclude from the point of view of
the spectral density that the artificial pion condensation is not induced by
the density effect in strong-coupling two-color QCD.Comment: 19 pages, 9 figures, reference added, some more clarificatio
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Recent Results from Telescope Array
The Telescope Array (TA) is an experiment to observe Ultra-High Energy Cosmic
Rays (UHECRs). TA's recent results, the energy spectrum and anisotropy based on
the 6-year surface array data, and the primary composition obtained from the
shower maximum Xmax are reported. The spectrum demonstrates a clear dip and
cutoff. The shape of the spectrum is well described by the energy loss of
extra-galactic protons interacting with the cosmic microwave background (CMB).
Above the cutoff, a medium-scale (20 degrees radius) flux enhancement was
observed near the Ursa-Major. A chance probability of creating this hotspot
from the isotropic flux is 4.0 sigma. The measured Xmax is consistent with the
primary being proton or light nuclei for energies 10^18.2 eV - 10^19.2 eV.Comment: 8 pages, 15 figures, ISVHECRI2014, CERN, August 18th-22nd, 201
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