375 research outputs found
Leading infrared logarithms for sigma-model with fields on arbitrary Riemann manifold
We derive non-linear recursion equation for the leading infrared logarithms
(LL) in four dimensional sigma-model with fields on an arbitrary Riemann
manifold. The derived equation allows one to compute leading infrared
logarithms to essentially unlimited loop order in terms of geometric
characteristics of the Riemann manifold.
We reduce the solution of the SU(oo) principal chiral field in arbitrary
number of dimensions in the LL approximation to the solution of very simple
recursive equation. This result paves a way to the solution of the model in
arbitrary number of dimensions at N-->ooComment: Talk given by MVP at the conference devoted to memory of A.N.
Vasilie
Power corrections to the process in the running coupling method
Power-suppressed corrections coming from the end-point integration regions in
the amplitude of the process at large and
small squared center-of-mass energy are calculated in the QCD
hard-scattering approach where the amplitudes factorize in a hard
perturbatively calculable part and a generalized distribution amplitude. The
running coupling method and the technique of infrared renormalon calculus are
applied to obtain Borel resummed expressions for the two main components of the
process amplitude. Numerical estimates for these power corrections are
presented. They are sizeable when .Comment: 15 pages, 5 figure
"Embarrassingly White": Faculty Racial Disparities in American Recreation, Park, and Tourism Programs
The publisher-authenticated version of Mowatt, R. A., Johnson, C. W., Roberts, N. S., & Kivel, B. D. (2016). “Embarrassingly
White”: Faculty racial disparities in American recreation, park & tourism programs.
Schole: A Journal Of Leisure Studies & Recreation Education. 31(1), 37-55.
is available online at: http://js.sagamorepub.com/schole/article/view/7268 DOI: 10.18666/SCHOLE-2016-V31-I1-7268The recruitment and retention of faculty and students of color is a long-standing challenge in academic programs focusing on leisure studies, parks, recreation, and tourism. However, when confronting the predominantly white composition of educational programs, many evade or, at most, acknowledge the situation as a "deficit." Few offer specific strategies for reversing this pattern, if that is the desired outcome. The purpose of this essay is to extend the discourse beyond traditional diversity initiatives by undertaking a field-wide initiative focused on the disparities in faculty and student representation. First, the essay examines systems that have created and supported the persistence of "white" as privileged in academia. Next, a summary and critique of institutional faculty demographic data over the 5-year period from 2006-2011 from four diverse institutions are presented. This analysis illustrates patterns that have resulted in presumably less than desirable numbers of faculty and students of color. Concrete suggestions for recruiting, retaining, and promoting people of color in academic leisure studies programs are included. Increasingly, today's students are attracted to academic programs in which they will be exposed to faculty representing the diversity they will encounter as professionals. This essay offers a call to bridge the perceived gap between practitioners and academia by recommending systemic changes informed by the lived experiences of communities of color that are effectively served by various leisure service providers
Twist-3 contribution to the amplitude in the Wandzura-Wilczek approximation
We have calculated the Wandzura-Wilczek contribution to the twist-3 part of
amplitude. It describes interaction of the
longitudinally polarized virtual photon with the real one, and it is suppressed
by 1/Q, where is the virtuality of the , as compared to the
twist-2 contribution. We have found that, in the Wandzura-Wilczek
approximation, factorization applies to the twist-3 amplitude.Comment: 13 pages, 4 figure
DVCS on the nucleon : study of the twist-3 effects
We estimate the size of the twist-3 effects on deeply virtual Compton
scattering (DVCS) observables, in the Wandzura-Wilczek approximation. We
present results in the valence region for the DVCS cross sections, charge
asymmetries and single spin asymmetries, to twist-3 accuracy.Comment: 20 pages, 6 figure
Moments of Nucleon Generalized Parton Distributions in Lattice QCD
Calculation of moments of generalized parton distributions in lattice QCD
requires more powerful techniques than those previously used to calculate
moments of structure functions. Hence, we present a novel approach that
exploits the full information content from a given lattice configuration by
measuring an overdetermined set of lattice observables to provide maximal
statistical constraints on the generalized form factors at a given virtuality,
t. In an exploratory investigation using unquenched QCD configurations at
intermediate sea quark masses, we demonstrate that our new technique is
superior to conventional methods and leads to reliable numerical signals for
the n=2 flavor singlet generalized form factors up to 3 GeV^2. The contribution
from connected diagrams in the flavor singlet sector to the total quark angular
momentum is measured to an accuracy of the order of one percent.Comment: 16 pages, 8 figures, LaTeX, minor elaboration of formalism and
singular value decomposition for non-specialists and addition of several
reference
Angular distributions in hard exclusive production of pion pairs
Using the leading order amplitudes of hard exclusive electroproduction of
pion pairs we have analyzed the angular distribution of the two produced
particles. At leading twist a pion pair can be produced only in an isovector or
an isoscalar state. We show that certain components of the angular distribution
only get contributions from the interference of the I=1 and the (much smaller)
I=0 amplitude. Therefore our predictions prove to be a good probe of isospin
zero pion pair production. We predict effects of a measurable size that could
be observed at experiments like HERMES. We also discuss how hard exclusive pion
pair production can provide us with new information on the effective chiral
Lagrangian.Comment: 17 pages, version to appear in Phys. Rev.
Factorizing the hard and soft spectator scattering contributions for the nucleon form factor F_1 at large Q^2
We investigate the soft spectator scattering contribution for the FF .
We focus our attention on factorization of the hard-collinear scale corresponding to transition from SCET-I to SCET-II. We compute the
leading order jet functions and find that the convolution integrals over the
soft fractions are logarithmically divergent. This divergency is the
consequence of the boost invariance and does not depend on the model of the
soft correlation function describing the soft spectator quarks. Using as
example a two-loop diagram we demonstrated that such a divergency corresponds
to the overlap of the soft and collinear regions. As a result one obtains large
rapidity logarithm which must be included in the correct factorization
formalism. We conclude that a consistent description of the factorization for
implies the end-point collinear divergencies in the hard and soft
spectator contributions, i.e. convolution integrals with respect to collinear
fractions are not well-defined. Such scenario can only be realized when the
twist-3 nucleon distribution amplitude has specific end-point behavior which
differs from one expected from the evolution of the nucleon distribution
amplitude. Such behavior leads to the violation of the collinear factorization
for the hard spectator scattering contribution. We suggest that the soft
spectator scattering and chiral symmetry breaking provide the mechanism
responsible for the violation of collinear factorization in case of form factor
.Comment: 25 pages, 6 figures, text is improved, few typos corrected, one
figure added, statement about end-point behavior of the nucleon DA is
formulated more accuratel
DVCS amplitude at tree level: Transversality, twist-3, and factorization
We study the virtual Compton amplitude in the generalized Bjorken region (q^2
-> Infinity, t small) in QCD by means of a light-cone expansion of the product
of e.m. currents in string operators in coordinate space. Electromagnetic gauge
invariance (transversality) is maintained by including in addition to the
twist-2 operators 'kinematical' twist-3 operators which appear as total
derivatives of twist-2 operators. The non-forward matrix elements of the
elementary twist-2 operators are parametrized in terms of two-variable spectral
functions (double distributions), from which twist-2 and 3 skewed distributions
are obtained through reduction formulas. Our approach is equivalent to a
Wandzura-Wilczek type approximation for the twist-3 skewed distributions. The
resulting Compton amplitude is manifestly transverse up to terms of order
t/q^2. We find that in this approximation the tensor amplitude for longitudinal
polarization of the virtual photon is finite, while the one for transverse
polarization contains a divergence already at tree level. However, this
divergence has zero projection on the polarization vector of the final photon,
so that the physical helicity amplitudes are finite.Comment: 34 pages, revtex, 1 eps figure included using epsf. Misprints
corrected, one reference adde
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