9,001 research outputs found
The space-time structure of hard scattering processes
Recent studies of exclusive electroproduction of vector mesons at JLab make
it possible for the first time to play with two independent hard scales: the
virtuality Q^2 of the photon, which sets the observation scale, and the
momentum transfer t to the hadronic system, which sets the interaction scale.
They reinforce the description of hard scattering processes in terms of few
effective degrees of freedom relevant to the Jlab-Hermes energy range.Comment: 4 pages; 5 figure
Crossover from Attractive to Repulsive Casimir Forces and Vice Versa
Systems described by an O(n) symmetrical Hamiltonian are considered
in a -dimensional film geometry at their bulk critical points. The critical
Casimir forces between the film's boundary planes , are
investigated as functions of film thickness for generic symmetry-preserving
boundary conditions . The
-dependent part of the reduced excess free energy per cross-sectional area
takes the scaling form when , where are scaling
fields associated with the variables , and is a surface
crossover exponent. Explicit two-loop renormalization group results for the
function at dimensions are
presented. These show that (i) the Casimir force can have either sign,
depending on and , and (ii) for appropriate
choices of the enhancements , crossovers from attraction to
repulsion and vice versa occur as increases.Comment: 4 RevTeX pages, 2 eps figures; minor misprints corrected and 3
references adde
Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors
We perform a systematic analysis on the off-forward matrix elements of the
twist-two quark and gluon helicity-flip operators. By matching the allowed
quantum numbers and their crossing channel counterparts (a method developed by
Ji & Lebed), we systematically count the number of independent nucleon form
factors in off-forward scattering of matrix elements of these quark and gluon
spin-flip operators. In particular, we find that the numbers of independent
nucleon form factors twist-2, helicity flip quark (gluon) operators are
() if is odd, and () if is even, with (). We also analysis and write down the tensorial/Lorentz structure and
kinematic factors of the expansion of these operators' matrix elements in terms
of the independent form factors. These generalized form factors define the
off-forward quark and gluon helicity-flip distributions in the literature.Comment: 18 pages, revtex
Generalized parton distributions in the deuteron
We introduce generalized quark and gluon distributions in the deuteron, which
can be measured in exclusive processes like deeply virtual Compton scattering
and meson electroproduction. We discuss the basic properties of these
distributions, and point out how they probe the interplay of nucleon and parton
degrees of freedom in the deuteron wave function
Constraints from Al Measurements on the Galaxy's Recent Global Star Formation Rate and Core Collapse Supernovae Rate
Gamma-rays from the decay of Al offer a stringent constraint on the
Galaxy's global star formation rate over the past million years, supplementing
other methods for quantifying the recent Galactic star formation rate, such as
equivalent widths of H emission. Advantages and disadvantages of using
Al gamma-ray measurements as a tracer of the massive star formation rate
are analyzed. Estimates of the Galactic Al mass derived from COMPTEL
measurements are coupled with a simple, analytical model of the Al
injection rate from massive stars and restrict the Galaxy's recent star
formation rate to \hbox{5 4 M\sun yr}. In addition, we show that
the derived Al mass implies a present day \hbox{Type II + Ib} supernovae
rate of 3.4 2.8 per century, which seems consistent with other
independent estimates of the Galactic core collapse supernova rate. If some
independent measure of the massive star initial mass function or star formation
rate or \hbox{Type II + Ib} supernovae rate were to become available (perhaps
through estimates of the Galactic Fe mass), then a convenient way to
restrain, or possibly determine, the other parameters is presented.Comment: 11 pages including 1 figure, ApJ in pres
Thermodynamic Casimir effects involving interacting field theories with zero modes
Systems with an O(n) symmetrical Hamiltonian are considered in a
-dimensional slab geometry of macroscopic lateral extension and finite
thickness that undergo a continuous bulk phase transition in the limit
. The effective forces induced by thermal fluctuations at and above
the bulk critical temperature (thermodynamic Casimir effect) are
investigated below the upper critical dimension by means of
field-theoretic renormalization group methods for the case of periodic and
special-special boundary conditions, where the latter correspond to the
critical enhancement of the surface interactions on both boundary planes. As
shown previously [\textit{Europhys. Lett.} \textbf{75}, 241 (2006)], the zero
modes that are present in Landau theory at make conventional
RG-improved perturbation theory in dimensions ill-defined. The
revised expansion introduced there is utilized to compute the scaling functions
of the excess free energy and the Casimir force for temperatures
T\geqT_{c,\infty} as functions of , where
is the bulk correlation length. Scaling functions of the
-dependent residual free energy per area are obtained whose
limits are in conformity with previous results for the Casimir amplitudes
to and display a more reasonable
small- behavior inasmuch as they approach the critical value
monotonically as .Comment: 23 pages, 10 figure
Logarithmic corrections in the two-dimensional Ising model in a random surface field
In the two-dimensional Ising model weak random surface field is predicted to
be a marginally irrelevant perturbation at the critical point. We study this
question by extensive Monte Carlo simulations for various strength of disorder.
The calculated effective (temperature or size dependent) critical exponents fit
with the field-theoretical results and can be interpreted in terms of the
predicted logarithmic corrections to the pure system's critical behaviour.Comment: 10 pages, 4 figures, extended version with one new sectio
Surface critical behavior of random systems at the ordinary transition
We calculate the surface critical exponents of the ordinary transition
occuring in semi-infinite, quenched dilute Ising-like systems. This is done by
applying the field theoretic approach directly in d=3 dimensions up to the
two-loop approximation, as well as in dimensions. At
we extend, up to the next-to-leading order, the previous
first-order results of the expansion by Ohno and Okabe
[Phys.Rev.B 46, 5917 (1992)]. In both cases the numerical estimates for surface
exponents are computed using Pade approximants extrapolating the perturbation
theory expansions. The obtained results indicate that the critical behavior of
semi-infinite systems with quenched bulk disorder is characterized by the new
set of surface critical exponents.Comment: 11 pages, 11 figure
Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
The limit n to infinity of the classical O(n) phi^4 model on a 3d film with
free surfaces is studied. Its exact solution involves a self-consistent 1d
Schr\"odinger equation, which is solved numerically for a partially discretized
as well as for a fully discrete lattice model. Numerically exact results are
obtained for the scaled Casimir force at all temperatures. Obtained via a
single framework, they exhibit all relevant qualitative features of the
thermodynamic Casimir force known from wetting experiments on Helium-4 and
Monte Carlo simulations, including a pronounced minimum below the bulk critical
point.Comment: 5 pages, 2 figure
Disentangling positivity constraints for generalized parton distributions
Positivity constraints are derived for the generalized parton distributions
(GPDs) of spin-1/2 hadrons. The analysis covers the full set of eight twist-2
GPDs. Several new inequalities are obtained which constrain GPDs by various
combinations of usual (forward) unpolarized and polarized parton distributions
including the transversity distribution.Comment: 9 pages (REVTEX), typos correcte
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