304,848 research outputs found
Primitive Cohomology of Hopf algebras
Primitive cohomology of a Hopf algebra is defined by using a modification of
the cobar construction of the underlying coalgebra. Among many of its
applications, two classifications are presented. Firstly we classify all non
locally PI, pointed Hopf algebra domains of Gelfand-Kirillov dimension two; and
secondly we classify all pointed Hopf algebras of rank one. The first
classification extends some results of Brown, Goodearl and others in an ongoing
project to understand all Hopf algebras of low Gelfand-Kirillov dimension. The
second generalizes results of Krop-Radford and Wang-You-Chen which classified
Hopf algebras of rank one under extra hypothesis. Properties and algebraic
structures of the primitive cohomology are discussed
Two-photon annihilation in the pair formation cascades in pulsar polar caps
The importance of the photon-photon pair production process () to form pair production cascades in pulsar
polar caps is investigated within the framework of the Ruderman-Sutherland
vacuum gap model. It is found that this process is unimportant if the polar
caps are not hot enough, but will play a non-negligible role in the pair
formation cascades when the polar cap temperatures are in excess of the
critical temperatures, , which are around when
s and will slowly increase with increasing periods. Compared with the
process, it is found that the two-photon annihilation process may
ignite a central spark near the magnetic pole, where sparks can not
be formed due to the local weak curvatures. This central spark is large if the
gap is dominated by the ``resonant ICS mode''. The possible connection of these
central sparks with the observed pulsar ``core'' emission components is
discussed.Comment: 7 pages, 3 Postscript figures, LaTex, accepted for publication in
Astronomy and Astrophysic
Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
The collinear factorization at twist-3 for Drell-Yan processes is studied
with the motivation to solve the discrepancy in literature about the single
spin asymmetry in the lepton angular distribution, and to show how QCD gauge
invariance is realized in the hadronic tensor. The obtained result here agrees
with our early result derived with a totally different approach. In addition to
the asymmetry we can construct another two observables to identify the spin
effect. We show that the gauge invariance of different contributions in the
hadronic tensor is made in different ways by summing the effects of gluon
exchanges. More interestingly is that we can show that the virtual correction
to one structure function of the hadronic tensor, hence to some weighted SSA
observables, is completely determined by the quark form factor. This will
simplify the calculation of higher order corrections. The corresponding result
in semi-inclusive DIS is also given for the comparison with Drell-Yan
processes.Comment: Small changes, accepted by JHE
Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
The possibility of realizing bosonic fractional quantum Hall effect in
ultra-cold atomic systems suggests a new route to producing and manipulating
anyons, by introducing auxiliary bosons of a different species that capture
quasiholes and thus inherit their non-trivial braiding properties. States with
localized quasiholes at any desired locations can be obtained by annihilating
the auxiliary bosons at those locations. We explore how this method can be used
to generate non-Abelian quasiholes of the Moore-Read Pfaffian state for bosons
at filling factor . We show that a Hamiltonian with an appropriate
three-body interaction can produce two-quasihole states in two distinct fusion
channels of the topological "qubit." Characteristics of these states that are
related to the non-Abelian nature can be probed and verified by a measurement
of the effective relative angular momentum of the auxiliary bosons, which is
directly related to their pair distribution function. Moore-Read states of more
than two quasiholes can also be produced in a similar fashion. We investigate
some issues related to the experimental feasibility of this approach, in
particular, how large the systems should be for a realization of this physics
and to what extent this physics carries over to systems with the more standard
two-body contact interaction.Comment: 16 pages, 6 figure
Antidote application: an educational system for treatment of common toxin overdose
Poisonings account for almost 1% of emergency room visits each year. Time is a critical factor in dealing with a toxicologic emergency. Delay in dispensing the first antidote dose can lead to life-threatening sequelae. Current toxicological resources that support treatment decisions are broad in scope, time-consuming to read, or at times unavailable. Our review of current toxicological resources revealed a gap in their ability to provide expedient calculations and recommendations about appropriate course of treatment. To bridge the gap, we developed the Antidote Application (AA), a computational system that automatically provides patient-specific antidote treatment recommendations and individualized dose calculations. We implemented 27 algorithms that describe FDA (the US Food and Drug Administration) approved use and evidence-based practices found in primary literature for the treatment of common toxin exposure. The AA covers 29 antidotes recommended by Poison Control and toxicology experts, 19 poison classes and 31 poisons, which represent over 200 toxic entities. To the best of our knowledge, the AA is the first educational decision support system in toxicology that provides patient-specific treatment recommendations and drug dose calculations. The AA is publicly available at http://projects.met- hilab.org/antidote/
- …