8,789 research outputs found
RI/MOM Renormalization Window and Goldstone Pole Contamination
We perform a comparative study of the ratio of lattice (Wilson fermion)
renormalization constants Z_P/Z_S, obtained non-perturbatively from the RI/MOM
renormalization conditions and from Ward Identities of on- and off-shell
Green's functions. The off-shell Ward Identity used in this work relies on
correlation functions with non-degenerate quark masses. We find that, due to
discretization effects, there is a 10-15% discrepancy between the two Ward
Identity determinations at current bare couplings (beta values). The RI/MOM
result is in the same range and has a similar systematic error of 10-15%. Thus,
contrary to a previous claim, the contamination of the RI/MOM result from the
presence of a Goldstone pole at scales of about 2 GeV is subdominant, compared
to finite cutoff effects.Comment: LATEX, 12 pages final version to appear on Phys. Lett.
Composition Operators on the Dirichlet Space and Related Problems
In this paper we investigate the following problem: when a bounded analytic
function on the unit disk , fixing 0, is such that is orthogonal in ?, and consider the
problem of characterizing the univalent, full self-maps of in
terms of the norm of the composition operator induced. The first problem is
analogous to a celebrated question asked by W. Rudin on the Hardy space setting
that was answered recently ([3] and [15]). The second problem is analogous to a
problem investigated by J. Shapiro in [14] about characterization of inner
functions in the setting of .Comment: 8 pages, 1 figure. See also
http://webdelprofesor.ula.ve/nucleotachira/gchacon or
http://webdelprofesor.ula.ve/humanidades/grchaco
Visualizing the Doppler Effect
The development of Information and Communication Technologies suggests some
spectacular changes in the methods used for teaching scientific subjects.
Nowadays, the development of software and hardware makes it possible to
simulate processes as close to reality as we want. However, when we are trying
to explain some complex physical processes, it is better to simplify the
problem under study using simplified pictures of the total process by
eliminating some elements that make it difficult to understand this process. In
this work we focus our attention on the Doppler effect which requires the
space-time visualization that is very difficult to obtain using the traditional
teaching resources. We have designed digital simulations as a complement of the
theoretical explanation in order to help students understand this phenomenon.Comment: 16 pages, 8 figure
Quark masses and the chiral condensate with a non-perturbative renormalization procedure
We determine the quark masses and the chiral condensate in the MSbar scheme
at NNLO from Lattice QCD in the quenched approximation at beta=6.0, beta=6.2
and beta=6.4 using both the Wilson and the tree-level improved SW-Clover
fermion action. We extract these quantities using the Vector and the Axial Ward
Identities and non-perturbative values of the renormalization constants. We
compare the results obtained with the two methods and we study the O(a)
dependence of the quark masses for both actions.Comment: LATTICE98(spectrum), 3 pages, 1 figure, Edinburgh 98/1
Elysia timida (Risso, 1818) three decades of research
Elysia timida (Risso, 1818) three decades of research.— During the last 30 years, studies on Elysia timida (Risso,
1818) have addressed various aspects related to food sources, photosynthetic efficiency of kleptoplasts, population
genetics, chemical ecology and reproductive biology, both in the Mediterranean Sea and in the Mar Menor
coastal lagoon. E. timida shows a strong specific interaction with Acetabularia acetabulum, retaining functional
chloroplasts for at least 45 days and obtaining extra energy in periods when food resources are scarce. It shows
control of parapodia, avoiding pigment photodestruction under oversaturated light conditions. The chemical ecological
relationships established between E. timida and its potential predator fish, Thalassoma pavo, have also
been evaluated, and it has been found that that the extracts of the mollusc contain repellent and unpalatable
polypropionate compounds. Population genetics has demonstrated the genetic divergence between populations
showing high and significant values of FST and genetic distances, and at least six privative alleles that are not
shared with Mediterranean populations have been detected in lagoon populations. This sacoglossan is a poecilogonic
species, and its lagoon populations show a greater reproductive output than Mediterranean populations; they
produce a greater number of egg masses and embyros per individual, and the capsules have a wider diameter
A Theoretical Prediction of the Bs-Meson Lifetime Difference
We present the results of a quenched lattice calculation of the operator
matrix elements relevant for predicting the Bs width difference. Our main
result is (\Delta\Gamma_Bs/\Gamma_Bs)= (4.7 +/- 1.5 +/- 1.6) 10^(-2), obtained
from the ratio of matrix elements, R(m_b)=/<\bar
B_s^0|Q_L|B_s^0>=-0.93(3)^(+0.00)_(-0.01). R(m_b) was evaluated from the two
relevant B-parameters, B_S^{MSbar}(m_b)=0.86(2)^(+0.02)_(-0.03) and
B_Bs^{MSbar}(m_b) = 0.91(3)^(+0.00)_(-0.06), which we computed in our
simulation.Comment: 21 pages, 7 PostScript figure
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