1,655 research outputs found
Pentaquark state in pole-dominated QCD sum rules
We propose a new approach in QCD sum rules applied for exotic hadrons with a
number of quarks, exemplifying the pentaquark Theta^{+} (I=0,J=1/2) in the
Borel sum rule. Our approach enables reliable extraction of the pentaquark
properties from the sum rule with good stability in a remarkably wide Borel
window. The appearance of its valid window originates from a favorable setup of
the correlation functions with the aid of it chirality of the interpolating
fields on the analogy of the Weinberg sum rule for the vector currents. Our
setup leads to large suppression of the continuum contributions which have
spoiled the Borel stability in the previous analyses, and consequently enhances
importance of the higher-dimensional contributions of the OPE, which are
indispensable for investigating the pentaquark properties. Implementing the OPE
analysis up to dimension 15, we find that the sum rules for the chiral-even and
odd parts independently give the Theta^{+} mass of 1.68 pm 0.22 GeV with
uncertainties of the condensate values. Our sum rule indeed gives rather flat
Borel curves almost independent of the continuum thresholds both for the mass
and pole residue. Finally, we also discuss possible isolation of the observed
states from the KN scattering state on view of chiral symmetry.Comment: 8 pages, 7 figure
More evidence of localization in the low-lying Dirac spectrum
We have extended our computation of the inverse participation ratio of
low-lying (asqtad) Dirac eigenvectors in quenched SU(3). The scaling dimension
of the confining manifold is clearer and very near 3. We have also computed the
2-point correlator which further characterizes the localization.Comment: presented at Lattice2005(Topology and Confinement), Dublin, July
25-30, 2005, 6 pages, 3 figures, to appear in Proceedings of Scienc
Decomposition of meron configuration of SU(2) gauge field
For the meron configuration of the SU(2) gauge field in the four dimensional
Minkowskii spacetime, the decomposition into an isovector field \bn,
isoscalar fields and , and a U(1) gauge field is
attained by solving the consistency condition for \bn. The resulting \bn
turns out to possess two singular points, behave like a monopole-antimonopole
pair and reduce to the conventional hedgehog in a special case. The
field also possesses singular points, while and are regular
everywhere.Comment: 18 pages, 5 figures, Sec.4 rewritten. 5 refs. adde
Effective lattice theories for Polyakov loops
We derive effective actions for SU(2) Polyakov loops using inverse Monte
Carlo techniques. In a first approach, we determine the effective couplings by
requiring that the effective ensemble reproduces the single-site distribution
of the Polyakov loops. The latter is flat below the critical temperature
implying that the (untraced) Polyakov loop is distributed uniformly over its
target space, the SU(2) group manifold. This allows for an analytic
determination of the Binder cumulant and the distribution of the mean-field,
which turns out to be approximately Gaussian. In a second approach, we employ
novel lattice Schwinger-Dyson equations which reflect the SU(2) x SU(2)
invariance of the functional Haar measure. Expanding the effective action in
terms of SU(2) group characters makes the numerics sufficiently stable so that
we are able to extract a total number of 14 couplings. The resulting action is
short-ranged and reproduces the Yang-Mills correlators very well.Comment: 27 pages, 8 figures, v2: method refined, chapter and references adde
k-strings and baryon vertices in SU(N) gauge theories
It is pointed out that the sine law for the k-string tension emerges as the
critical threshold below which the spatial Z_N symmetry of the static baryon
potential is spontaneously broken. This result applies not only to SU(N) gauge
theories, but to any gauge system with stable k-strings admitting a baryon
vertex made with N sources in the fundamental representation. Some simple
examples are worked out.Comment: 4 pages, 4 figures, v2: reference added, v3: comments and references
adde
Absence of quantum-confined Stark effect in GaN quantum disks embedded in (Al,Ga)N nanowires grown by molecular beam epitaxy
Several of the key issues of planar (Al,Ga)N-based deep-ultraviolet light
emitting diodes could potentially be overcome by utilizing nanowire
heterostructures, exhibiting high structural perfection and improved light
extraction. Here, we study the spontaneous emission of GaN/(Al,Ga)N nanowire
ensembles grown on Si(111) by plasma-assisted molecular beam epitaxy. The
nanowires contain single GaN quantum disks embedded in long (Al,Ga)N nanowire
segments essential for efficient light extraction. These quantum disks are
found to exhibit intense emission at unexpectedly high energies, namely,
significantly above the GaN bandgap, and almost independent of the disk
thickness. An in-depth investigation of the actual structure and composition of
the nanowires reveals a spontaneously formed Al gradient both along and across
the nanowire, resulting in a complex core/shell structure with an Al deficient
core and an Al rich shell with continuously varying Al content along the entire
length of the (Al,Ga)N segment. This compositional change along the nanowire
growth axis induces a polarization doping of the shell that results in a
degenerate electron gas in the disk, thus screening the built-in electric
fields. The high carrier density not only results in the unexpectedly high
transition energies, but also in radiative lifetimes depending only weakly on
temperature, leading to a comparatively high internal quantum efficiency of the
GaN quantum disks up to room temperature.Comment: This document is the unedited Author's version of a Submitted Work
that was subsequently accepted for publication in Nano Letters (2019),
copyright (C) American Chemical Society after peer review. To access the
final edited and published work see
https://doi.org/10.1021/acs.nanolett.9b01521, the supporting information is
available (free of charge) under the same lin
Short distance behaviour of the effective string
We study the Polyakov loop correlator in the (2+1) dimensional Z_2 gauge
model. An algorithm that we have presented recently, allows us to reach high
precision results for a large range of distances and temperatures, giving us
the opportunity to test predictions of the effective Nambu-Goto string model.
Here we focus on the regime of low temperatures and small distances. In
contrast to the high temperature, large distance regime, we find that our
numerical results are not well described by the two loop-prediction of the
Nambu-Goto model. In addition we compare our data with those for the SU(2) and
SU(3) gauge models in (2+1) dimensions obtained by other authors. We generalize
the result of L\"uscher and Weisz for a boundary term in the interquark
potential to the finite temperature case.Comment: 38 pages, 7 figures, version accepted for publication in JHE
Conservation and divergence of myelin proteome and oligodendrocyte transcriptome profiles between humans and mice
Human myelin disorders are commonly studied in mouse models. Since both clades evolutionarily diverged approximately 85 million years ago, it is critical to know to what extent the myelin protein composition has remained similar. Here, we use quantitative proteomics to analyze myelin purified from human white matter and find that the relative abundance of the structural myelin proteins PLP, MBP, CNP, and SEPTIN8 correlates well with that in C57Bl/6N mice. Conversely, multiple other proteins were identified exclusively or predominantly in human or mouse myelin. This is exemplified by peripheral myelin protein 2 (PMP2), which was specific to human central nervous system myelin, while tetraspanin-2 (TSPAN2) and connexin-29 (CX29/GJC3) were confined to mouse myelin. Assessing published scRNA-seq-datasets, human and mouse oligodendrocytes display well-correlating transcriptome profiles but divergent expression of distinct genes, including Pmp2, Tspan2, and Gjc3. A searchable web interface is accessible via www.mpinat.mpg.de/myelin. Species-dependent diversity of oligodendroglial mRNA expression and myelin protein composition can be informative when translating from mouse models to humans
Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory
We show that the global aspects of Abelian and center projection of a SU(2)
gauge theory on an arbitrary manifold are naturally described in terms of
smooth Deligne cohomology. This is achieved through the introduction of a novel
type of differential topological structure, called Cho structure. Half integral
monopole charges appear naturally in this framework.Comment: 43 pages, no figures, requires AMS font files AMSSYM.DEF and
amssym.tex. Completely rewritten, corrected and streamlined versio
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