147 research outputs found
The Application of Compact Thermistors for the Temperature Conditions Analysis of Small-sized Long-stroke Low-speed Stages of Piston Compressors
AbstractThe task on studying the thermal conditions of small-sized long-stroke low-speed stages of piston compressors is solved. The bead thermistors are applied for a placement of a temperature sensor with small diameters of cylinders. Calibration of a given sensor is executed, the error of measurements is defined
Magnetic flows on Sol-manifolds: dynamical and symplectic aspects
We consider magnetic flows on compact quotients of the 3-dimensional solvable
geometry Sol determined by the usual left-invariant metric and the
distinguished monopole. We show that these flows have positive Liouville
entropy and therefore are never completely integrable. This should be compared
with the known fact that the underlying geodesic flow is completely integrable
in spite of having positive topological entropy. We also show that for a large
class of twisted cotangent bundles of solvable manifolds every compact set is
displaceable.Comment: Final version to appear in CMP. Two new remarks have been added as
well as some numerical calculations for metric entrop
Twist-three at five loops, Bethe Ansatz and wrapping
We present a formula for the five-loop anomalous dimension of N=4 SYM
twist-three operators in the sl(2) sector. We obtain its asymptotic part from
the Bethe Ansatz and finite volume corrections from the generalized Luescher
formalism, considering scattering processes of spin chain magnons with virtual
particles that travel along the cylinder. The complete result respects the
expected large spin scaling properties and passes non-trivial tests including
reciprocity constraints. We analyze the pole structure and find agreement with
a conjectured resummation formula. In analogy with the twist-two anomalous
dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large
values of the spin.Comment: 19 page
Nanosize Structure Phase States of Ti Surface Layer Formed During Electroexplosive Carboborating
The electroexplosive carboborating leads to a significant (up to 12 times) increase in microhardness of the titanium
irradiated surface. It is established that the thickness of strengthened surface layer reaches ~ 125 μm.
The formation of nanosize structure-phase states in Ti surface layers during electroexplosive carboborating
was carried out by methods of scanning and transmission diffraction electron microscopy.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3480
Factorized Tree-level Scattering in AdS_4 x CP^3
AdS_4/CFT_3 duality relating IIA string theory on AdS_4 x CP^3 to N=6
superconformal Chern-Simons theory provides an arena for studying aspects of
integrability in a new potentially exactly solvable system. In this paper we
explore the tree-level worldsheet scattering for strings on AdS_4 x CP^3. We
compute all bosonic four-, five- and six-point amplitudes in the gauge-fixed
action and demonstrate the absence of particle production.Comment: 23 pages, v2. references adde
Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of
three scalar fields with derivatives. We extract from the Bethe Ansatz
equations of this sector the exact lowest anomalous dimension gamma(s) of
scaling fields for several values of the operator spin s. We propose compact
closed expressions for the spin dependence of gamma(s) up to the four loop
level and show that they obey a simple new twist-3 transcendentality principle.
As a check, we reproduce the four loop universal cusp anomalous dimension
governing the logarithmic large spin limit of gamma(s).Comment: 26 pages, JHEP styl
Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
We review the construction of the AdS/CFT dressing factor, its analytic
properties and several checks of its validity.Comment: 22 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters update
On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
Strong evidence indicates that the spectrum of planar anomalous dimensions of
N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A
curious observation is that the Bethe equations for the psu(1,1|2) subsector
lead to very large degeneracies of 2^M multiplets, which apparently do not
follow from conventional integrable structures. In this article, we explain
such degeneracies by constructing suitable conserved nonlocal generators acting
on the spin chain. We propose that they generate a subalgebra of the loop
algebra for the su(2) automorphism of psu(1,1|2). Then the degenerate
multiplets of size 2^M transform in irreducible tensor products of M
two-dimensional evaluation representations of the loop algebra.Comment: 35 pages, v2: references added, sign inconsistency resolved in
(5.5,5.6), v3: Section 3.4 on Hamiltonian added, minor improvements, to
appear in JHE
The all loop AdS4/CFT3 Bethe ansatz
We propose a set of Bethe equations yielding the full asymptotic spectrum of
the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft
coupling. These equations interpolate between the 2-loop Bethe ansatz of
Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of
arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly
constrain the form of the Bethe equations up to a dressing factor whose form we
also conjecture.Comment: References added. Factor of 2 in the discussion of the (generalized)
scaling function fixe
A new derivation of Luscher F-term and fluctuations around the giant magnon
15 pages, no figures; v2: added assumption on diagonal scattering and a section on generalizations; v3: minor changes, version accepted for publication in JHEPIn this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.Peer reviewe
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