716 research outputs found
Confinement, the gluon propagator and the interquark potential for heavy mesons
The interquark static potential for heavy mesons described by a massive One
Gluon Exchange interaction obtained from the propagator of the truncated
Dyson-Schwinger equations does not reproduced the expected Cornell potential. I
show that no formulation based on a finite propagator will lead to confinement
of quenched QCD. I propose a mechanism based on a singular nonperturbative
coupling constant which has the virtue of giving rise to a finite gluon
propagator and (almost) linear confinement. The mechanism can be slightly
modified to produce the screened potentials of unquenched QCD.Comment: 12 pages and 7 figure
Stimulant Medication and Reading Performance
The study examined the sustained effects of methylphenidate on reading performance in a sample of 42 boys, ages 8 to 11, with attention deficit-hyperactivity disorder (ADHD). Two subgroups were formed based on the presence or absence of co-occurring conduct disorders. Subjects were selected on the basis of their positive response to methylphenidate as determined in a series of original medication trials (Forness, Cantwell, Swanson, Hanna, & Youpa, 1991). For the purpose of this study, subjects were placed on their optimal dose of medication for a 6-week period and then tested on measures of oral reading and reading comprehension equivalent to those used in the original trials, retested after a week without medication (placebo), then tested again the following week after return to medication. Only the subgroup with conduct disorders responded, and this response was limited to reading comprehension improvement in only those subjects who also demonstrated improvement in oral reading on original trials. No response differences were found between subjects with or without learning disabilities.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68569/2/10.1177_002221949202500205.pd
Partial Identification of the Average Treatment Effect Using Instrumental Variables: Review of Methods for Binary Instruments, Treatments, and Outcomes
Several methods have been proposed for partially or point identifying the average treatment effect (ATE) using instrumental variable (IV) type assumptions. The descriptions of these methods are widespread across the statistical, economic, epidemiologic, and computer science literature, and the connections between the methods have not been readily apparent. In the setting of a binary instrument, treatment, and outcome, we review proposed methods for partial and point identification of the ATE under IV assumptions, express the identification results in a common notation and terminology, and propose a taxonomy that is based on sets of identifying assumptions. We further demonstrate and provide software for the application of these methods to estimate bounds. Supplementary materials for this article are available online
Integrable twists in AdS/CFT
A class of marginal deformations of four-dimensional N=4 super Yang-Mills
theory has been found to correspond to a set of smooth, multiparameter
deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5.
We present here an analogous set of deformations that act on global toroidal
isometries in the AdS_5 subspace. Remarkably, certain sectors of the string
theory remain classically integrable in this larger class of so-called
gamma-deformed AdS_5 x S^5 backgrounds. Relying on studies of deformed
su(2)_gamma models, we formulate a local sl(2)_gamma Lax representation that
admits a classical, thermodynamic Bethe equation (based on the Riemann-Hilbert
interpretation of Bethe's ansatz) encoding the spectrum in the deformed AdS_5
geometry. This result is extended to a set of discretized, asymptotic Bethe
equations for the twisted string theory. Near-pp-wave energy spectra within
sl(2)_gamma and su(2)_gamma sectors provide a useful and stringent test of such
equations, demonstrating the reliability of this technology in a wider class of
string backgrounds. In addition, we study a twisted Hubbard model that yields
certain predictions of the dual beta-deformed gauge theory.Comment: v2: references and clarifications added, 46 page
Hybrid exotic meson with J^{PC}=1^{-+} in AdS/QCD
We investigate the hybrid exotic meson with within the
framework of an AdS/QCD model. Introducing a holographic field dual to the
operator for hybrid exotic meson, we obtain the eigen-value equation for its
mass. Fixing all free parameters by QCD observables such as the -meson
mass, we predict the masses of the hybrid exotic meson. The results turn out to
be for the ground state, and for the
first excited one. Being compared with the existing experimental data for the
, which is known to be , the
present result seems to be qualitative in agreement with it. We also predict
the decay constant of (1400): MeV.Comment: 10 pages, 1 Tabl
N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
We begin a study of higher-loop corrections to the dilatation generator of
N=4 SYM in non-compact sectors. In these sectors, the dilatation generator
contains infinitely many interactions, and therefore one expects very
complicated higher-loop corrections. Remarkably, we find a short and simple
expression for the two-loop dilatation generator. Our solution for the
non-compact su(1,1|2) sector consists of nested commutators of four O(g)
generators and one simple auxiliary generator. Moreover, the solution does not
require the planar limit; we conjecture that it is valid for any gauge group.
To obtain the two-loop dilatation generator, we find the complete O(g^3)
symmetry algebra for this sector, which is also given by concise expressions.
We check our solution using published results of direct field theory
calculations. By applying the expression for the two-loop dilatation generator
to compute selected anomalous dimensions and the bosonic sl(2) sector internal
S-matrix, we confirm recent conjectures of the higher-loop Bethe ansatz of
hep-th/0412188.Comment: 28 pages, v2: additional checks against direct field theory
calculations, references added, minor corrections, v3: additional minor
correction
Dual Spikes; New Spiky String Solutions
We find a new class of spiky solutions for closed strings in flat,
and backgrounds. In the flat
case the new solutions turn out to be T-dual configurations of spiky strings
found by Kruczenski hep-th/0410226. In the case of solutions living in ,
we make a semi classical analysis by taking the large angular momentum limit.
The anomalous dimension for these dual spikes is similar to that for rotating
and pulsating circular strings in AdS with angular momentum playing the role of
the level number. This replaces the well known logarithmic dependence for
spinning strings. For the dual spikes living on sphere we find that no large
angular momentum limit exists.Comment: Added reference
The Factorized S-Matrix of CFT/AdS
We argue that the recently discovered integrability in the large-N CFT/AdS
system is equivalent to diffractionless scattering of the corresponding hidden
elementary excitations. This suggests that, perhaps, the key tool for finding
the spectrum of this system is neither the gauge theory's dilatation operator
nor the string sigma model's quantum Hamiltonian, but instead the respective
factorized S-matrix. To illustrate the idea, we focus on the closed fermionic
su(1|1) sector of the N=4 gauge theory. We introduce a new technique, the
perturbative asymptotic Bethe ansatz, and use it to extract this sector's
three-loop S-matrix from Beisert's involved algebraic work on the three-loop
su(2|3) sector. We then show that the current knowledge about semiclassical and
near-plane-wave quantum strings in the su(2), su(1|1) and sl(2) sectors of
AdS_5 x S^5 is fully consistent with the existence of a factorized S-matrix.
Analyzing the available information, we find an intriguing relation between the
three associated S-matrices. Assuming that the relation also holds in gauge
theory, we derive the three-loop S-matrix of the sl(2) sector even though this
sector's dilatation operator is not yet known beyond one loop. The resulting
Bethe ansatz reproduces the three-loop anomalous dimensions of twist-two
operators recently conjectured by Kotikov, Lipatov, Onishchenko and Velizhanin,
whose work is based on a highly complex QCD computation of Moch, Vermaseren and
Vogt.Comment: 38 pages, LaTeX, JHEP3.cl
Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
We find an explicit relation between the two known ways of generating an
infinite set of local conserved charges for the string sigma model on AdS_5 x
S^5: the Backlund and monodromy approaches. We start by constructing the
two-parameter family of Backlund transformations for the string with an
arbitrary world-sheet metric. We then show that only for a special value of one
of the parameters the solutions generated by this transformation are compatible
with the Virasoro constraints. By solving the Backlund equations in a
non-perturbative fashion, we finally show that the generating functional of the
Backlund conservation laws is equal to a certain sum of the quasi-momenta. The
positions of the quasi-momenta in the complex spectral plane are uniquely
determined by the real parameter of the Backlund transform.Comment: 25 pages, 1 figur
The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
We continue the program initiated in hep-th/0411200 and calculate the algebra
of the flat currents for the string on AdS_5 x S^5 background in the light-cone
gauge with kappa-symmetry fixed. We find that the algebra has a closed form and
that the non-ultralocal terms come with a weight factor e^{\phi} that depends
on the radial AdS_5 coordinate. Based on results in two-dimensional sigma
models coupled to gravity via the dilaton field, this suggests that the algebra
of transition matrices in the present case is likely to be unambigous.Comment: 27 pages, references added, version published in JHE
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