51,151 research outputs found
Distribution of Per Capita Income in Georgia: 1969-2000
Since the mid 1980s, the state of Georgia has been popularly characterized as consisting of two (or more) distinct economies or economic regions, the Atlanta Region and the remainder of the state. Since the appearance of the term "two Georgias" in the local lexicon, policy makers have attempted to address problems associated with the perception that Atlanta and its surrounding counties are experiencing tremendous economic growth, while the remainder of the state languishes. Because the quality and quantity of local public services are determined, in part, by local economic activity, concerns have been raised about the existence of two Georgias and how such an economic partition might affect the distribution of revenue generating capacity among counties across the state.Past research suggests that the average income of different areas of a country tend to converge as overall income rises. Using per capita personal income (PCI) data from the Bureau of Economic Analysis (BEA), we compare 1969 PCI with 2000 PCI to determine: 1) if convergence has occurred 2) how changes in PCI are geographically distributed, and 3) whether these data support the popular conception that Georgia consists of two separate economies. Report #9
Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
The distributions of two-jet event shapes contain information on
hadronization in QCD. Near the two-jet limit, these distributions can be
described by convolutions of nonperturbative event shape functions with the
same distributions calculated in resummed perturbation theory. The shape
functions, in turn, are determined by correlations of momentum flow operators
with each other and with light-like Wilson lines, which describe the coupling
of soft, wide-angle radiation to jets. We observe that leading power
corrections to the mean values of event shapes are determined by the
correlation of a single momentum flow operator with the relevant Wilson lines.
This generalizes arguments for the universality of leading power corrections
based on the low-scale behavior of the running coupling or resummation. We also
show how a study of the angularity event shapes can provide information on
correlations involving multiple momentum flow operators, giving a window to the
system of QCD dynamics that underlies the variety of event shape functions. In
deriving these results, we review, develop and compare factorization techniques
in conventional perturbative QCD and soft-collinear effective theory (SCET). We
give special emphasis to the elimination of double counting of momentum regions
in these two formalisms.Comment: 25 pages revtex
Uncovering anorexia nervosa in a biofeedback clinic for bowel dysfunction
Biofeedback is a conservative treatment based on behavioural techniques, which can be used in the management of bowel dysfunction. This article reports the results of a retrospective review of the clinical notes of 87 female patients attending a biofeedback service at St Mark's Hospital, Harrow. The initial review was conducted to examine the incidence of polycystic ovary syndrome (PCOS) in patients attending this service. Seven percent were found to have PCOS, which is within the normal range. However, a significant proportion of patients (11.5%) had a current history of anorexia nervosa, a higher rate than in the general population, which prompted further investigation. In this article, Sonya Chelvanayagam, Julie Duncan, Brigitte Collins and Lorraine O'Brien report on the results of this review and discuss the significance of its findings. © Copyright Terms & conditions
All-Orders Singular Emission in Gauge Theories
I present a class of functions unifying all singular limits for the emission
of soft or collinear gluons in gauge-theory amplitudes at any order in
perturbation theory. Each function is a generalization of the antenna functions
of ref. [1]. The helicity-summed interferences these functions are thereby also
generalizations to higher orders of the Catani--Seymour dipole factorization
function.Comment: 5 pages, 1 figur
Interference Fragmentation Functions and the Nucleon's Transversity
We introduce twist-two quark interference fragmentation functions in helicity
density matrix formalism and study their physical implications. We show how the
nucleon's transversity distribution can be probed through the final state
interaction between two mesons (, , or ) produced
in the current fragmentation region in deep inelastic scattering on a
transversely polarized nucleon.Comment: Final version to be published in Phys. Rev. Let
Path integral regularization of pure Yang-Mills theory
In enlarging the field content of pure Yang-Mills theory to a cutoff
dependent matrix valued complex scalar field, we construct a vectorial
operator, which is by definition invariant with respect to the gauge
transformation of the Yang-Mills field and with respect to a Stueckelberg type
gauge transformation of the scalar field. This invariant operator converges to
the original Yang-Mills field as the cutoff goes to infinity. With the help of
cutoff functions, we construct with this invariant a regularized action for the
pure Yang-Mills theory. In order to be able to define both the gauge and scalar
fields kinetic terms, other invariant terms are added to the action. Since the
scalar fields flat measure is invariant under the Stueckelberg type gauge
transformation, we obtain a regularized gauge-invariant path integral for pure
Yang-Mills theory that is mathematically well defined. Moreover, the
regularized Ward-Takahashi identities describing the dynamics of the gauge
fields are exactly the same as the formal Ward-Takahashi identities of the
unregularized theory.Comment: LaTeX file, 24 pages, improved version, to be published in Phys. Rev.
Non-Markovian Stochastic Resonance
The phenomenological linear response theory of non-Markovian Stochastic
Resonance (SR) is put forward for stationary two-state renewal processes. In
terms of a derivation of a non-Markov regression theorem we evaluate the
characteristic SR-quantifiers; i.e. the spectral power amplification (SPA) and
the signal-to-noise ratio (SNR), respectively. In clear contrast to Markovian
SR, a characteristic benchmark of genuine non-Markovian SR is its distinctive
dependence of the SPA and SNR on small (adiabatic) driving frequencies;
particularly, the adiabatic SNR becomes strongly suppressed over its Markovian
counterpart. This non-Markovian SR theory is elucidated for a fractal gating
dynamics of a potassium ion channel possessing an infinite variance of closed
sojourn times.Comment: 4 pages, 1 figur
Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
Motivated by the need to correct the potentially large kinematic errors in
approximations used in the standard formulation of perturbative QCD, we
reformulate deeply inelastic lepton-proton scattering in terms of gauge
invariant, universal parton correlation functions which depend on all
components of parton four-momentum. Currently, different hard QCD processes are
described by very different perturbative formalisms, each relying on its own
set of kinematical approximations. In this paper we show how to set up
formalism that avoids approximations on final-state momenta, and thus has a
very general domain of applicability. The use of exact kinematics introduces a
number of significant conceptual shifts already at leading order, and tightly
constrains the formalism. We show how to define parton correlation functions
that generalize the concepts of parton density, fragmentation function, and
soft factor. After setting up a general subtraction formalism, we obtain a
factorization theorem. To avoid complications with Ward identities the full
derivation is restricted to abelian gauge theories; even so the resulting
structure is highly suggestive of a similar treatment for non-abelian gauge
theories.Comment: 44 pages, 69 figures typos fixed, clarifications and second appendix
adde
Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions
We calculate the next-to-leading order fully unintegrated hard scattering
coefficient for unpolarized gluon-induced deep inelastic scattering using the
logical framework of parton correlation functions developed in previous work.
In our approach, exact four-momentum conservation is maintained throughout the
calculation. Hence, all non-perturbative functions, like parton distribution
functions, depend on all components of parton four-momentum. In contrast to the
usual collinear factorization approach where the hard scattering coefficient
involves generalized functions (such as Dirac -functions), the fully
unintegrated hard scattering coefficient is an ordinary function. Gluon-induced
deep inelastic scattering provides a simple illustration of the application of
the fully unintegrated factorization formalism with a non-trivial hard
scattering coefficient, applied to a phenomenologically interesting case.
Furthermore, the gluon-induced process allows for a parameterization of the
fully unintegrated gluon distribution function.Comment: 22 pages, Typos Fixed, Reference Added, Minor Clarification Adde
Dark matter cores all the way down
We use high resolution simulations of isolated dwarf galaxies to study the
physics of dark matter cusp-core transformations at the edge of galaxy
formation: M200 = 10^7 - 10^9 Msun. We work at a resolution (~4 pc minimum cell
size; ~250 Msun per particle) at which the impact from individual supernovae
explosions can be resolved, becoming insensitive to even large changes in our
numerical 'sub-grid' parameters. We find that our dwarf galaxies give a
remarkable match to the stellar light profile; star formation history;
metallicity distribution function; and star/gas kinematics of isolated dwarf
irregular galaxies. Our key result is that dark matter cores of size comparable
to the stellar half mass radius (r_1/2) always form if star formation proceeds
for long enough. Cores fully form in less than 4 Gyrs for the M200 = 10^8 Msun
and 14 Gyrs for the 10^9 Msun dwarf. We provide a convenient two parameter
'coreNFW' fitting function that captures this dark matter core growth as a
function of star formation time and the projected stellar half mass radius.
Our results have several implications: (i) we make a strong prediction that
if LCDM is correct, then 'pristine' dark matter cusps will be found either in
systems that have truncated star formation and/or at radii r > r_1/2; (ii)
complete core formation lowers the projected velocity dispersion at r_1/2 by a
factor ~2, which is sufficient to fully explain the 'too big to fail problem';
and (iii) cored dwarfs will be much more susceptible to tides, leading to a
dramatic scouring of the subhalo mass function inside galaxies and groups.Comment: 20 pages; 9 figures; final version to appear in MNRAS including typos
corrected in proo
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