4,762 research outputs found
On the large- behavior of the coupling in PT
It is shown that the usual large- counting of the coupling constant
of the low-energy chiral Lagrangian \cite{GL85}
is in conflict with general properties of QCD in the large- limit. The
solution of this conflict within the framework of a chiral Lagrangian is
explained.Comment: 6 pages, latex(includes macro at the beginning of file), no figure
Nonparametric regression penalizing deviations from additivity
Due to the curse of dimensionality, estimation in a multidimensional
nonparametric regression model is in general not feasible. Hence, additional
restrictions are introduced, and the additive model takes a prominent place.
The restrictions imposed can lead to serious bias. Here, a new estimator is
proposed which allows penalizing the nonadditive part of a regression function.
This offers a smooth choice between the full and the additive model. As a
byproduct, this penalty leads to a regularization in sparse regions. If the
additive model does not hold, a small penalty introduces an additional bias
compared to the full model which is compensated by the reduced bias due to
using smaller bandwidths. For increasing penalties, this estimator converges to
the additive smooth backfitting estimator of Mammen, Linton and Nielsen [Ann.
Statist. 27 (1999) 1443-1490]. The structure of the estimator is investigated
and two algorithms are provided. A proposal for selection of tuning parameters
is made and the respective properties are studied. Finally, a finite sample
evaluation is performed for simulated and ozone data.Comment: Published at http://dx.doi.org/10.1214/009053604000001246 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Note on Strange Quarks in the Nucleon
Scalar matrix elements involving strange quarks are studied in several
models. Apart from a critical reexamination of results obtained in the Nambu
and Jona-Lasinio model we study a scenario, motivated by instanton physics,
where spontaneous chiral symmetry breaking is induced by the flavor-mixing 't
Hooft interaction only. We also investigate possible contributions of virtual
kaon loops to the strangeness content of the nucleon.Comment: 12 pages, latex style. One figure, available from the author upon
request. University of Regensburg TPR-94-0
Impact for Agents
Impact for agents. Most of the agent research community has been predicting greater impact for years and many of us have been working to help the process along. Yet the tremendous growth on the research front has not been met with
K0 form factor at order p^6 of chiral perturbation theory
This paper describes the calculation of the electromagnetic form factor of
the K0 meson at order p^6 of chiral perturbation theory which is the
next-to-leading order correction to the well-known p^4 result achieved by
Gasser and Leutwyler. On the one hand, at order p^6 the chiral expansion
contains 1- and 2-loop diagrams which are discussed in detail. Especially, a
numerical procedure for calculating the irreducible 2-loop graphs of the sunset
topology is presented. On the other hand, the chiral Lagrangian L^6 produces a
direct coupling of the K0 current with the electromagnetic field tensor. Due to
this coupling one of the unknown parameters of L^6 occurs in the contribution
to the K0 charge radius.Comment: 22 pages Latex with 8 figures, Typos corrected, one reference adde
Chiral Lagrangians at finite density
The effective SU(2) chiral Lagrangian with external sources is given in the
presence of non-vanishing nucleon densities by calculating the in-medium
contributions of the chiral pion-nucleon Lagrangian. As a by product, a
relativistic quantum field theory for Fermi many-particle systems at zero
temperature is directly derived from relativistic quantum field theory with
functional methods.Comment: 6 Pages, 3 figures, REVTeX. Extended version. Explicit Feynman rules
are give
Threshold Photo/Electro Pion Production - Working Group Summary
We summarize the pertinent experimental and theoretical developments in the
field of pion photo- and electroproduction in the threshold region. We discuss
which experiments and which calculations should be done/performed in the
future.Comment: plain TeX (macro included), 6pp, summary talk presented at the
workshop on "Chiral Dynamics: Theory and Experiments", MIT, July 25-29, 199
Hadronic Contributions to the Muon and Low-Energy QCD
The contributions to the muon anomalous magnetic moment from hadronic vacuum
polarization and from hadronic light-by-light scattering are reexamined within
the frame work of chiral perturbation theory; the -expansion; and the
extended Nambu Jona-Lasinio model of low-energy QCD.Comment: 17 pages, CPT-93/P.2962, 4 figures available by request from the
autho
Threshold Pion Electroproduction in Chiral Perturbation Theory
Electroproduction of pions on the nucleon near the threshold is analyzed
within the framework of baryon chiral perturbation theory. We give a thorough
discussion of the low--energy theorems related to charged and neutral
electropionproduction. It is shown how the axial radius of the nucleon can be
related to the S--wave multipoles and . The chiral
perturbation theory calculations of the reaction
are found to be in good agreement with the recent near threshold data. We also
discuss the influence of some isospin--breaking effects in this channel. For
future experimental tests of the underlying chiral dynamics, extensive
predictions of differential cross sections and multipole amplitudes are
presented.Comment: 44pp, TeX, 15 figures available upon request, BUTP-93/23 and CRN
93-4
Chiral Corrections to Lattice Calculations of Charge Radii
Logarithmic divergences in pion and proton charge radii associated with
chiral loops are investigated to assess systematic uncertainties in current
lattice determinations of charge radii. The chiral corrections offer a possible
solution to the long standing problem of why present lattice calculations yield
proton and pion radii which are similar in size.Comment: PostScript file only. Ten pages. Figures included. U. of MD Preprint
#92-19
- âŠ