9,858 research outputs found
Temperature-dependence of the QCD topological susceptibility
We recently obtained an estimate of the axion mass based on the hypothesis
that axions make up most of the dark matter in the universe. A key ingredient
for this calculation was the temperature-dependence of the topological
susceptibility of full QCD. Here we summarize the calculation of the
susceptibility in a range of temperatures from well below the finite
temperature cross-over to around 2 GeV. The two main difficulties of the
calculation are the unexpectedly slow convergence of the susceptibility to its
continuum limit and the poor sampling of nonzero topological sectors at high
temperature. We discuss how these problems can be solved by two new techniques,
the first one with reweighting using the quark zero modes and the second one
with the integration method.Comment: 9 pages, 6 figures, to be published in Proceedings of the 35th
International Symposium on Lattice Field Theory (Lattice2017)}: Granada,
Spain}, to appear in EPJ Web Con
Anderson Localization in Quark-Gluon Plasma
At low temperature the low end of the QCD Dirac spectrum is well described by
chiral random matrix theory. In contrast, at high temperature there is no
similar statistical description of the spectrum. We show that at high
temperature the lowest part of the spectrum consists of a band of statistically
uncorrelated eigenvalues obeying essentially Poisson statistics and the
corresponding eigenvectors are extremely localized. Going up in the spectrum
the spectral density rapidly increases and the eigenvectors become more and
more delocalized. At the same time the spectral statistics gradually crosses
over to the bulk statistics expected from the corresponding random matrix
ensemble. This phenomenon is reminiscent of Anderson localization in disordered
conductors. Our findings are based on staggered Dirac spectra in quenched SU(2)
lattice simulations.Comment: 11 pages, 8 figure
The rich frequency spectrum of the triple-mode variable AC And
Fourier analysis of the light curve of AC And from the HATNet database
reveals the rich frequency structure of this object. Above 30 components are
found down to the amplitude of 3 mmag. Several of these frequencies are not the
linear combinations of the three basic components. We detect period increase in
all three components that may lend support to the Pop I classification of this
variable.Comment: Poster presented at IAU Symposium 301, "Precision Asteroseismology -
Celebration of the Scientific Opus of Wojtek Dziembowski", 19-23 August 2013,
Wroclaw, Polan
The localization transition in SU(3) gauge theory
We study the Anderson-like localization transition in the spectrum of the
Dirac operator of quenched QCD. Above the deconfining transition we determine
the temperature dependence of the mobility edge separating localized and
delocalized eigenmodes in the spectrum. We show that the temperature where the
mobility edge vanishes and localized modes disappear from the spectrum,
coincides with the critical temperature of the deconfining transition. We also
identify topological charge related close to zero modes in the Dirac spectrum
and show that they account for only a small fraction of localized modes, a
fraction that is rapidly falling as the temperature increases.Comment: 7 pages, 5 figures, v3: additional data on finer lattice; final,
published versio
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