724 research outputs found
Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem
We consider a fourth order, reaction-diffusion type, singularly perturbed
boundary value problem, and the regularity of its solution. Specifically, we
provide estimates for arbitrary order derivatves, which are explicit in the
singular perturbation parameter as well as the differentiation order. Such
estimates are needed for the numerical analysis of high order methods, e.g.hp
Finite Element Method (FEM).Comment: arXiv admin note: text overlap with arXiv:1901.0939
Singlet vs Nonsinglet Perturbative Renormalization factors of Staggered Fermion Bilinears
In this paper we present the perturbative computation of the difference
between the renormalization factors of flavor singlet
(, : flavor index) and nonsinglet
() bilinear quark operators
(where ) on the lattice. The computation is performed to
two loops and to lowest order in the lattice spacing, using Symanzik improved
gluons and staggered fermions with twice stout-smeared links. The stout
smearing procedure is also applied to the definition of bilinear operators. A
significant part of this work is the development of a method for treating some
new peculiar divergent integrals stemming from the staggered formalism. Our
results can be combined with precise simulation results for the renormalization
factors of the nonsinglet operators, in order to obtain an estimate of the
renormalization factors for the singlet operators. The results have been
published in Physical Review D.Comment: 8 pages, 3 figures, 2 tables, Proceedings of the 35th International
Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spai
Nucleon form factors and moments of parton distributions in twisted mass lattice QCD
We present results on the electroweak form factors and on the lower moments
of parton distributions of the nucleon, within lattice QCD using two dynamical
flavors of degenerate twisted mass fermions. Results are obtained on lattices
with three different values of the lattice spacings, namely a=0.089 fm, a=0.070
fm and a=0.056 fm, allowing the investigation of cut-off effects. The volume
dependence is examined by comparing results on two lattices of spatial length
L=2.1 fm and L=2.8 fm. The simulations span pion masses in the range of 260-470
MeV. Our results are renormalized non-perturbatively and the values are given
in the MS-scheme at a scale mu=2 GeV.Comment: Talk presented in the XXIst International Europhysics Conference on
High Energy Physics, 21-27 July 2011, Grenoble, Rhones Alpes Franc
The development of optimisation decision-making skills within the area of technology education through a technology fair
The ability to make effective choices and decisions is
one of the most important competencies that students
need to be successful in life. This paper suggests the
idea of using the technology fair as a means for
promoting students’ decision-making skills. The purpose
of the study was to investigate the influence of a
procedure of working with primary school children to
complete and present a technology fair project, on the
decision-making skills of undergraduate primary
education students. Pre-tests, mid-test and post-tests
were administered to undergraduate students before,
during and after the preparation of the technology fair,
respectively. Data were also collected from reflective
diaries kept by the university students during the
preparation of the technology fair. A number of students
were selected and interviewed after the completion of
the technology fair. The analysis of the results indicates
that the technology fair has an influence on improving
students’ decision-making strategies within the domain
of design and technology
Renormalization constants of local operators for Wilson type improved fermions
Perturbative and non-perturbative results are presented on the
renormalization constants of the quark field and the vector, axial-vector,
pseudoscalar, scalar and tensor currents. The perturbative computation, carried
out at one-loop level and up to second order in the lattice spacing, is
performed for a fermion action, which includes the clover term and the twisted
mass parameter yielding results that are applicable for unimproved Wilson
fermions, as well as for improved clover and twisted mass fermions. We consider
ten variants of the Symanzik improved gauge action corresponding to ten
different values of the plaquette coefficients. Non-perturbative results are
obtained using the twisted mass Wilson fermion formulation employing two
degenerate dynamical quarks and the tree-level Symanzik improved gluon action.
The simulations are performed for pion masses in the range of 480 MeV to 260
MeV and at three values of the lattice spacing, a, corresponding to beta=3.9,
4.05, 4.20. For each renormalization factor computed non-perturbatively we
subtract its perturbative O(a^2) terms so that we eliminate part of the cut-off
artifacts. The renormalization constants are converted to MS-bar at a scale of
mu=2 GeV. The perturbative results depend on a large number of parameters and
are made easily accessible to the reader by including them in the distribution
package of this paper, as a Mathematica input file.Comment: 36 pages, 11 figures and 6 tables. The results are included in
electronic form (Mathematica files
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