25,810 research outputs found
Towards a quantum field theory of primitive string fields
We denote generating functions of massless even higher spin fields "primitive
string fields" (PSF's). In an introduction we present the necessary definitions
and derive propagators and currents of these PDF's on flat space. Their
off-shell cubic interaction can be derived after all off-shell cubic
interactions of triplets of higher spin fields have become known [2],[3]. Then
we discuss four-point functions of any quartet of PSF's. In subsequent sections
we exploit the fact that higher spin field theories in are
determined by AdS/CFT correspondence from universality classes of critical
systems in dimensional flat spaces. The O(N) invariant sectors of the O(N)
vector models for play for us the role of "standard
models", for varying , they contain e.g. the Ising model for N=1 and the
spherical model for . A formula for the masses squared that break
gauge symmetry for these O(N) classes is presented for d = 3. For the PSF on
space it is shown that it can be derived by lifting the PSF on flat space
by a simple kernel which contains the sum over all spins. Finally we use an
algorithm to derive all symmetric tensor higher spin fields. They arise from
monomials of scalar fields by derivation and selection of conformal
(quasiprimary) fields. Typically one monomial produces a multiplet of spin
conformal higher spin fields for all , they are distinguished by
their anomalous dimensions (in ) or by their mass (in ). We sum
over these multiplets and the spins to obtain "string type fields", one for
each such monomial.Comment: 16 pages,Late
The Rocketdyne Multifunction Tester. Part 2: Operation of a Radial Magnetic Bearing as an Excitation Source
The operation of the magnetic bearing used as an excitation source in the Rocketdyne Multifunction Tester is described. The tester is scheduled for operation during the summer of 1990. The magnetic bearing can be used in two control modes: (1) open loop mode, in which the magnetic bearing operates as a force actuator; and (2) closed loop mode, in which the magnetic bearing provides shaft support. Either control mode can be used to excite the shaft; however, response of the shaft in the two control modes is different due to the alteration of the eigenvalues by closed loop mode operation. A rotordynamic model is developed to predict the frequency response of the tester due to excitation in either control mode. Closed loop mode excitation is shown to be similar to the excitation produced by a rotating eccentricity in a conventional bearing. Predicted frequency response of the tester in the two control modes is compared, and the maximum response is shown to be the same for the two control modes when synchronous unbalance loading is not considered. The analysis shows that the response of this tester is adequate for the extraction of rotordynamic stiffness, damping, and inertia coefficients over a wide range of test article stiffnesses
Wheel–rail contact: experimental study of the creep forces–creepage relationships
The wheel–rail contact problem plays an important role in the simulation methods used to solve railway dynamics problems. As a consequence, many different mathematical models have been developed to calculate wheel–rail contact forces. However, most of them tackle this problem purely from a theoretical point of view and need to be experimentally validated. Such validation could also reveal the influence of certain parameters not taken into account in the mathematical developments. This paper presents the steps followed in building a scaled test-bench to experimentally characterise the wheel–rail contact problem. The results of the longitudinal contact force as a function of the longitudinal creepage are obtained and the divergences with respect to Kalker's simplified theory are analysed. The influence of lateral creepage, angular velocity and certain contaminants such as cutting fluid or high positive friction modifier is also discussed
The Measure of the Orthogonal Polynomials Related to Fibonacci Chains: The Periodic Case
The spectral measure for the two families of orthogonal polynomial systems
related to periodic chains with N-particle elementary unit and nearest
neighbour harmonic interaction is computed using two different methods. The
interest is in the orthogonal polynomials related to Fibonacci chains in the
periodic approximation. The relation of the measure to appropriately defined
Green's functions is established.Comment: 19 pages, TeX, 3 scanned figures, uuencoded file, original figures on
request, some misprints corrected, tbp: J. Phys.
Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
We generalize the application of small polaron theory to ultracold gases of
Ref. [\onlinecite{jaksch_njp1}] to the case of Bose-Fermi mixtures, where both
components are loaded into an optical lattice. In a suitable range of
parameters, the mixture can be described within a Bogoliubov approach in the
presence of fermionic (dynamic) impurities and an effective description in
terms of polarons applies. In the dilute limit of the slow impurity regime, the
hopping of fermionic particles is exponentially renormalized due to polaron
formation, regardless of the sign of the Bose-Fermi interaction. This should
lead to clear experimental signatures of polaronic effects, once the regime of
interest is reached. The validity of our approach is analyzed in the light of
currently available experiments. We provide results for the hopping
renormalization factor for different values of temperature, density and
Bose-Fermi interaction for three-dimensional
mixtures in optical lattice.Comment: 13 pages, 5 figure
Potential competitive effects on U.S. bank credit card lending from the proposed bifurcated application of Basel II
This paper analyzes the potential competitive effects of the proposed bifurcated application of Basel II capital regulations in the United States on bank credit card lending activities. For this purpose, the authors consider the Basel II regulations as stated in the June 2004 Basel Committee Framework Agreement. ; Also issued as Payment Cards Center Discussion Paper No. 05-21 ; Superseded by Working Paper 07-09Basel capital accord ; Credit cards
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