Extendability of parallel sections in vector bundles

We address the following question: Given a differentiable manifold $M$ what are the open subsets $U$ of $M$ such that, for all vector bundles $E$ over $M$ and all linear connections $\nabla$ on $E$, any $\nabla$-parallel section in $E$ defined on $U$ extends to a $\nabla$-parallel section in $E$ defined on $M$? For simply connected manifolds $M$ (among others) we describe the entirety of all such sets $U$ which are, in addition, the complement of a $C^1$ submanifold (boundary allowed) of $M$; this delivers a partial positive answer to a problem posed by Antonio J. Di Scala and Gianni Manno. Furthermore, in case $M$ is an open submanifold of $\mathbb R^n$, $2 \leq n$, we prove that the complement of $U$ in $M$, not required to be a submanifold now, can have arbitrarily large $n$-dimensional Lebesgue measure.Comment: Improved presentatio

QCD at high energies and Yangian symmetry

Yangian symmetric correlators provide a tool to investigate integrability features of QCD at high energies. We discuss the kernel of the equation of perturbative Regge asymptotics, the kernels of the evolution equation of parton distributions, Born scattering amplitudes and coupling renormalization.Comment: 11 pages, contribution to ICNFP18, published versio

Railcars From Canada: A Misapplication of the Countervailing Duty Law

This Note examines the countervailing duty law and how it was applied in Railcars. Part I discusses the MTA\u27s decision to award the subway car contract to Bombardier, Inc., a Canadian corporation. The countervailing duty proceeding and other legal actions initiated in response to the allegedly subsidized contract are also described. Part II provides a general background on the Act. Part III explains the procedure for conducting a countervailing duty proceeding under the Act. After each step in a countervailing duty proceeding is outlined, its application in Railcars is discussed. Finally, Part IV analyzes how the Act was misapplied in Railcars

Electroproduction of vector mesons - factorization of end-point contributions

The end-point contributions in the quark longitudinal momentum fraction of the virtual photon ($\gamma^*$) to vector meson ($V$) impact factor to the diffractive electroproduction amplitude can be factorized in terms of a generalized parton evolution of the target parton distribution. The result is used to model the helicity amplitudes $\gamma^* p \to V p$ in terms of small $x$ generalized parton distributions.Comment: 24 pages LaTex, 4 eps-figure

Next-to-leading gluonic reggeons in the high-energy effective action

We study the next-to-leading gluon exchange in the high-energy scattering that contributes to the amplitude to order $s^0$ up to logarithmic corrections. Similar to the leading gluon exchange these contribution can be described in terms of reggeon exchanges. There are several gluonic reggeons at the next-to-leading level. Some of them transfer parity or gauge group representation different from the leading gluonic reggeon. Unlike the leading one they are sensitive to the helicity and transverse momenta of the scattering partons. We extend the high-energy effective action and derive from the action of gluodynamics the terms describing the next-to-leading reggeons and their interaction in the multi-Regge approximation.Comment: 31 pages in LATEX, 4 eps figures, references adde

How Same Day Registration Became Law in North Carolina

2007 was the first year that the North Carolina General Assembly seriously considered Same Day Registration. SDR bills had been introduced in prior years and attracted legislative support, but never gained sufficient traction. This report recounts North Carolina's road to Same Day Registration from three different perspectives: legislative supporters, elections officials and the advocacy community. Demos conducted a telephone survey of 16 individuals who were involved in the successful effort to pass SDR legislation in 2007. Interviewees included legislators, public policy advocates, community organizers and election officials. Those individuals collectively identified three primary reasons for Same Day Registration's success in 2007:* New political leadership in the North Carolina General Assembly* The support of influential election officials; and,* A strong, unified coalition of advocates and organizers

Gluonic reggeons

Contributions from gluon interactions, which are non-leading in high-energy semi-hard processes, are studied and represented in terms of reggeon exchanges. Unlike the leading gluonic reggeon, related to the BFKL pomeron, the non-leading reggeons are sensitive to the spin and transverse momentum distributions of scattering partons. There are several gluonic reggeons with poles in the vicinity of angular momentum $j=0$ contributing to the perturbative Regge asymptotics of QCD. We extend the high-energy effective action including sub-leading terms which describe these reggeons and their interactions with scattering quarks and gluons in the multi-Regge approximation.Comment: 18 pages, LATEX, 2 EPS figures, revised, to be published in Phys. Lett.