3,937 research outputs found
Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
We study the Landau-Khalatnikov-Fradkin transformations (LKFT) in momentum
space for the dynamically generated mass function in QED3. Starting from the
Landau gauge results in the rainbow approximation, we construct solutions in
other covariant gauges. We confirm that the chiral condensate is gauge
invariant as the structure of the LKFT predicts. We also check that the gauge
dependence of the constituent fermion mass is considerably reduced as compared
to the one obtained directly by solving SDE.Comment: 17 pages, 11 figures. v3. Improved and Expanded. To appear in Few
Body System
Preparation of high crystalline nanoparticles of rare-earth based complex pervoskites and comparison of their structural and magnetic properties with bulk counterparts
A simple route to prepare GdSrMnO nanoparticles by
ultrasonication of their bulk powder materials is presented in this article.
For comparison, GdSrMnO nanoparticles are also prepared by
ball milling. The prepared samples are characterized by X-ray diffraction
(XRD),field emission scanning electron microscope (FESEM), energy dispersive
X-ray (EDX), X-ray photoelectron spectroscope (XPS), and Superconducting
Quantum Interference Device (SQUID) magnetometer. XRD Rietveld analysis is
carried out extensively for the determination of crystallographic parameters
and the amount of crystalline and amorphous phases. FESEM images demonstrate
the formation of nanoparticles with average particle size in the range of
50-100 nm for both ultrasonication and 4 hours (h) of ball milling. The bulk
materials and nanoparticles synthesized by both ultrasonication and 4 h ball
milling exhibit a paramagnetic to spin-glass transition. However, nanoparticles
synthesized by 8 h and 12 h ball milling do not reveal any phase transition,
rather show an upturn of magnetization at low temperature. The degradation of
the magnetic properties in ball milled nanoparticles may be associated with
amorphization of the nanoparticles due to ball milling particularly for milling
time exceeding 8 h. This investigation demonstrates the potential of
ultrasonication as a simple route to prepare high crystalline rare-earth based
manganite nanoparticles with improved control compared to the traditional ball
milling technique.Comment: 9 pages, 6 figure
CR
We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface. We also proved that an Einstein proper CR-hypersurface of S6 is an extrinsic sphere
- …