436 research outputs found
Semileptonic Bs ->DsJ(2460)l nu decay in QCD
Using three point QCD sum rules method, the form factors relevant to the
semileptonic Bs ->DsJ (2460)l nu decay are calculated. The q2 dependence of
these form factors is evaluated and compared with the heavy quark effective
theory predictions. The dependence of the asymmetry parameter alpha,
characterizing the polarization of DsJ meson, on q2 is studied .The branching
ratio of this decay is also estimated and is shown that it can be easily
detected at LHC.Comment: 21 pages, 5 figures and 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 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
1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
One way to relate semiclassical string states and dual gauge theory states is
to show the equivalence between their low-energy effective 2d actions. The
gauge theory effective action, which is represented by an effective
Landau-Lifshitz (LL) model, was previously found to match with the string
theory world-sheet action up to the first two orders in the effective parameter
, where is the `t Hooft coupling
and is the total -charge. Here we address the question if quantizing the
effective LL action reproduces the subleading 1/J corrections to the spin chain
energies as well as the quantum corrections to the string energies. We
demonstrate that this is indeed the case provided one chooses an appropriate
regularization of the effective LL theory. Expanding near the BPS vacuum, we
show that the quantum LL action gives the same 1/J corrections to energies of
BMN states as found previously on the gauge theory and string theory sides. We
also compute the subleading corrections and show that these too match
with corrections computed from the Bethe ansatz. We also compare the results
from the LL action with a more direct computation from the spin chain. We
repeat the same computation for the -deformed LL action and find that
the quantum LL result is again equal to the 1/J correction computed from the
-deformed Bethe ansatz equations. We also quantize the LL action near
the rotating circular and folded string solutions, generalizing the known
gauge/string results for 1/J corrections to the classical energies. We
emphasize the simplicity of this effective field theory approach as compared to
the full quantum string computations.Comment: 52 pages, references adde
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
The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
We study the question of diagonalizability of the Hamiltonian for the
Faddeev-Reshetikhin (FR) model in the two particle sector. Although the two
particle S-matrix element for the FR model, which may be relevant for the
quantization of strings on , has been calculated recently
using field theoretic methods, we find that the Hamiltonian for the system in
this sector is not diagonalizable. We trace the difficulty to the fact that the
interaction term in the Hamiltonian violating Lorentz invariance leads to
discontinuity conditions (matching conditions) that cannot be satisfied. We
determine the most general quartic interaction Hamiltonian that can be
diagonalized. This includes the bosonic Thirring model as well as the bosonic
chiral Gross-Neveu model which we find share the same S-matrix. We explain this
by showing, through a Fierz transformation, that these two models are in fact
equivalent. In addition, we find a general quartic interaction Hamiltonian,
violating Lorentz invariance, that can be diagonalized with the same two
particle S-matrix element as calculated by Klose and Zarembo for the FR model.
This family of generalized interaction Hamiltonians is not Hermitian, but is
symmetric. We show that the wave functions for this system are also
symmetric. Thus, the theory is in a unbroken phase which guarantees the
reality of the energy spectrum as well as the unitarity of the S-matrix.Comment: 32 pages, 1 figure; references added, version published in JHE
On Quantum Corrections to Spinning Strings and Bethe Equations
Recently, it was demonstrated that one-loop energy shifts of spinning
superstrings on AdS5xS5 agree with certain Bethe equations for quantum strings
at small effective coupling. However, the string result required artificial
regularization by zeta-function. Here we show that this matching is indeed
correct up to fourth order in effective coupling; beyond, we find new
contributions at odd powers. We show that these are reproduced by quantum
corrections within the Bethe ansatz. They might also identify the "three-loop
discrepancy" between string and gauge theory as an order-of-limits effect.Comment: 12 pages, v2, v3: minor corrections, footnotes and references added,
v3: to appear in Phys. Lett.
A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
We probe the long-range spin chain approach to planar N=4 gauge theory at
high loop order. A recently employed hyperbolic spin chain invented by
Inozemtsev is suitable for the SU(2) subsector of the state space up to three
loops, but ceases to exhibit the conjectured thermodynamic scaling properties
at higher orders. We indicate how this may be bypassed while nevertheless
preserving integrability, and suggest the corresponding all-loop asymptotic
Bethe ansatz. We also propose the local part of the all-loop gauge transfer
matrix, leading to conjectures for the asymptotically exact formulae for all
local commuting charges. The ansatz is finally shown to be related to a
standard inhomogeneous spin chain. A comparison of our ansatz to semi-classical
string theory uncovers a detailed, non-perturbative agreement between the
corresponding expressions for the infinite tower of local charge densities.
However, the respective Bethe equations differ slightly, and we end by refining
and elaborating a previously proposed possible explanation for this
disagreement.Comment: 48 pages, 1 figure. v2, further results added: discussion of the
relationship to an inhomogeneous spin chain, normalization in sec 3 unified,
v3: minor mistakes corrected, published versio
Transfer learning for galaxy morphology from one survey to another
© 2018 The Author(s). Published by Oxford University Press on behalf of the Royal Astronomical Society.Deep Learning (DL) algorithms for morphological classification of galaxies have proven very successful, mimicking (or even improving) visual classifications. However, these algorithms rely on large training samples of labelled galaxies (typically thousands of them). A key question for using DL classifications in future Big Data surveys is how much of the knowledge acquired from an existing survey can be exported to a new dataset, i.e. if the features learned by the machines are meaningful for different data. We test the performance of DL models, trained with Sloan Digital Sky Survey (SDSS) data, on Dark Energy survey (DES) using images for a sample of 5000 galaxies with a similar redshift distribution to SDSS. Applying the models directly to DES data provides a reasonable global accuracy ( 90%), but small completeness and purity values. A fast domain adaptation step, consisting in a further training with a small DES sample of galaxies (500-300), is enough for obtaining an accuracy > 95% and a significant improvement in the completeness and purity values. This demonstrates that, once trained with a particular dataset, machines can quickly adapt to new instrument characteristics (e.g., PSF, seeing, depth), reducing by almost one order of magnitude the necessary training sample for morphological classification. Redshift evolution effects or significant depth differences are not taken into account in this study.Peer reviewedFinal Accepted Versio
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