6,565 research outputs found
Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras
In this paper, we introduce the concepts of Rota-Baxter operators and
differential operators with weights on a multiplicative -ary Hom-algebra. We
then focus on Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras and show
that they can be derived from Rota-Baxter Hom-Lie algebras, Hom-preLie algebras
and Rota-Baxter commutative Hom-associative algebras. We also explore the
connections between these Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie
algebras.Comment: arXiv admin note: substantial text overlap with arXiv:1306.1990,
arXiv:1004.4795 by other author
A Study of deuteron electromagnetic form factors with light-front approach
The electromagnetic form factors and low-energy observables of deuteron are
studied with the help of the light-front approach, where the deuteron is
regarded as a weekly bound state of a proton and a neutron. Both the and
wave interacting vertexes among deuteron, proton, and neutron are taken
into account. Moreover, the regularization functions are also introduced. In
our calculations, the vertex and the regularization functions are employed to
simulate the momentum distribution inside the deuteron. Our numerical results
show that the light-front approach can roughly reproduce the deuteron
electromagnetic form factors, like charge , magnetic , and quadrupole
, in the low region. The important role of the wave vertex on
is also addressed
K\"ahler-Ricci flow, K\"ahler-Einstein metric, and K-stability
We prove the existence of Kahler-Einstein metric on a K-stable Fano manifold
using the recent compactness result on Kahler-Ricci flows. The key ingredient
is an algebro-geometric description of the asymptotic behavior of Kahler-Ricci
flow on Fano manifolds. This is in turn based on a general finite dimensional
discussion, which is interesting in its own and could potentially apply to
other problems. As one application, we relate the asymptotics of the Calabi
flow on a polarized Kahler manifold to K-stability assuming bounds on geometry
Entanglement Entropy of A Simple Non-minimal Coupling Model
We evaluate the entanglement entropy of a non-minimal coupling
Einstein-scalar theory with two approaches in classical Euclidean gravity. By
analysing the equation of motion, we find that the entangled surface is
restricted to be a minimal surface. The entanglement entropy formula is derived
directly from the approach of regularized conical singularity. On the other
hand, by expressing Ricci scalar of the conical spacetime, we obtain the same
result. In addition, we generalize the reduced geometric approach to Riemann
tensor and its derivations.Comment: 6 pages, some parts rewritte
The construction and deformation of Hom-Novikov superalgebras
We study a twisted generalization of Novikov superalgebras, called
Hom-Novikov superalgebras. It is shown that two classes of Hom-Novikov
superalgebras can be constructed from Hom-supercommutative algebras together
with derivations and Hom-Novikov superalgebras with Rota-Baxter operators,
respectively. We show that quadratic Hom-Novikov superalgebras are
Hom-associative superalgebras and the sub-adjacent Hom-Lie superalgebras of
Hom-Novikov superalgebras are 2-step nilpotent. Moreover, we develop the
1-parameter formal deformation theory of Hom-Novikov superalgebras
3-ary Hom-Lie superalgebras induced Hom-Lie superalgebras
The purpose of this paper is to study the relationships between a Hom-Lie
superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview
of the theory and explore the structure properties such as ideals, center,
derived series, solvability, nilpotency, central extensions, and the
cohomology.Comment: 23pages. arXiv admin note: substantial text overlap with
arXiv:1504.06980 by other author
Polarized GPDs and structure functions of meson
The meson polarized generalized parton distribution functions, its
structure functions and and its axial form factors are studied based on a light-front quark model for the first time.
Comparing our obtained moments of to lattice QCD calculation, we find
that our results are reasonably consistent to the Lattice predictions
On universal -central extensions of Hom-preLie algebras
We introduce the notion of Hom-co-represention and low-dimensional chain
complex. We study universal central extensions of Hom-preLie algebras and
generlize some classical results. As the same time, we introduce
-central extensions, universal -central extensions and
-perfect Hom-preLie algebras. We construct universal ()-central
extensions of Hom-preLie algebras.Comment: arXiv admin note: substantial text overlap with arXiv:1209.5887 and
arXiv:1209.6266 by other author
Effect of orbital-overlap dependence in density functionals
The semilocal meta generalized gradient approximation (MGGA) for the
exchange-correlation functional of Kohn-Sham (KS) density functional theory can
yield accurate ground-state energies simultaneously for atoms, molecules,
surfaces, and solids, due to the inclusion of kinetic energy density as an
input. We study for the first time the effect and importance of the dependence
of MGGA on the kinetic energy density through the dimensionless inhomogeneity
parameter, , that characterizes the extent of orbital overlap. This
leads to a simple and wholly new MGGA exchange functional, which interpolates
between the single-orbital regime, where , and the slowly varying
density regime, where , and then extrapolates to . When combined with a variant of the Perdew-Burke-Erzerhof (PBE) GGA
correlation, the resulting MGGA performs equally well for atoms, molecules,
surfaces, and solids
Study on the yields and polarizations of within the framework of non-relativistic QCD via at CEPC
Within the framework of the non-relativistic QCD (NRQCD), we make a
systematical study of the yields and polarizations of and
via in photon-photon collisions
at the Circular Electron Positron Collider (CEPC), up to . We find that this process at CEPC is quite "clean",
namely the direct photoproduction absolutely dominate over the single- and
double- resolved processes, at least 2 orders of magnitude larger. It is found
that the next-to-leading order (NLO) QCD corrections will significantly reduce
the results due to that the virtual corrections to is large and
negative. For , as increases, the color octet (CO) processes will
provide increasingly important contributions to the total NLO results. Moreover
the inclusion of CO contributions will dramatically change the polarizations of
from toally transverse to longitudinal, which can be regarded as a
distinct signal for the CO mechanism. However, for the case of , the
effects of the CO processes are negligible, both for yields and polarizations.
For , the dependence of the yields on the value of the renormalization
scale is moderate, while significant for the polarization. The impact
of the variation of is found to be relatively slight. As for
the case of , the uncertainties of and just
bring about negligible effects. The future measurements on this semi-inclusive
photoproductions of , especially on the polarization
parameters of , will be a good laboratory for the study of heavy
quarkonium production mechanism and helpful to clarify the problems of the
polarization puzzle
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