26 research outputs found
Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
Conventional weak-coupling perturbation theory suffers from problems that
arise from resonant coupling of successive orders in the perturbation series.
Multiple-scale perturbation theory avoids such problems by implicitly
performing an infinite reordering and resummation of the conventional
perturbation series. Multiple-scale analysis provides a good description of the
classical anharmonic oscillator. Here, it is extended to study the Heisenberg
operator equations of motion for the quantum anharmonic oscillator. The
analysis yields a system of nonlinear operator differential equations, which is
solved exactly. The solution provides an operator mass renormalization of the
theory.Comment: 12 pages, Revtex, no figures, available through anonymous ftp from
ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at
http://euclid.tp.ph.ic.ac.uk/Papers/papers_95-6_.htm
Probing Polarized Parton Distributions with Meson Photoproduction
Polarization asymmetries in photoproduction of high transverse momentum
mesons are a flavor sensitive way to measure the polarized quark distributions.
We calculate the expected asymmetries in several models, and find that the
asymmetries are significant and also significantly different from model to
model. Suitable data may come as a by-product of deep inelastic experiments to
measure or from dedicated experiments.Comment: RevTeX, 5 pages, 5 postscript figures; minor corrections made,
references adde
Measuring Polarized Gluon and Quark Distributions with Meson Photoproduction
We calculate polarization asymmetries in photoproduction of high transverse
momentum mesons, focusing on charged pions, considering the direct,
fragmentation, and resolved photon processes. The results at very high meson
momentum measure the polarized quark distributions and are sensitive to
differences among the existing models. The results at moderate meson momentum
are sensitive to the polarized gluon distribution and can provide a good way to
measure it. Suitable data may come as a by-product of deep inelastic
experiments to measure or from dedicated experiments.Comment: RevTeX, 11 pages, 13 postscript figures; changes made in response to
the referee's comment
Joint Extraction of m_s and V_us from Hadronic Tau Decays
We study the simultaneous determination of m_s and V_us from flavor-breaking
hadronic tau decay sum rules using weights designed to bring under better
control problems associated with the slow convergence of the relevant D=2 OPE
series. Much improved stability and consistency is found as compared to the
results of conventional analyses based on the ``(k,0) spectral weights''.
Results for m_s are in excellent agreement with those of recent strange scalar
and strange pseudoscalar sum rule analyses, as well as recent lattice analyses,
while those for V_us agree within errors with the output from recent
lattice-based Gamma[K_{mu 2}]/Gamma[pi_{mu 2}] and K_{\ell 3}-based analyses.
Very significant error reductions are shown to be expected, especially for
V_us, once the improved strange spectral data from the B factory experiments
becomes available.Comment: 12 pages, 4 figure
The Flaming Center : A Theology of the Christian Mission
Philadelphiavi, 170 p.; 23 c
Justification: The article by Which the Church Stands Or Falls
Minneapolis191 p.; 22 c