1,598 research outputs found
Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem
We study higher derivative corrections in holographic dual of
Zamolodchikov-Polchinski theorem that states the equivalence between scale
invariance and conformal invariance in unitary d-dimensional Poincare invariant
field theories. From the dual holographic perspective, we find that a
sufficient condition to show the holographic theorem is the generalized strict
null energy condition of the matter sector in effective (d+1)-dimensional
gravitational theory. The same condition has appeared in the holographic dual
of the "c-theorem" and our theorem suggests a deep connection between the two,
which was manifested in two-dimensional field theoretic proof of the both.Comment: 13 pages, v2: reference added, v3 some clarification adde
Systematic design study into the influence of rotational speed on the torque density of surface-mounted permanent magnet machines
A series of systematic studies are carried out to investigate the influence on torque density and power density on machine speed rating. Several series of permanent magnet machine designs are established using an array of different electrical and thermal design constraints. The paper demonstrates that torque density in permanent magnet machines tends to decrease with speed rating due to complex interplay between electromagnetic and mechanical considerations, e.g. fixed winding current density, fixed split ratio etc. Interesting trends are observed, including cases in which there is an optimum rotational speed in terms of power density, beyond which the power density starts to decrease with increased speed rating
Thermodynamics of 2D string theory
We calculate the free energy, energy and entropy in the matrix quantum
mechanical formulation of 2D string theory in a background strongly perturbed
by tachyons with the imaginary Minkowskian momentum
(``Sine-Liouville'' theory). The system shows a thermodynamical behaviour
corresponding to the temperature . We show that the
microscopically calculated energy of the system satisfies the usual
thermodynamical relations and leads to a non-zero entropy.Comment: 13 pages, lanlmac; typos correcte
Entanglement without Dissipation: A Touchstone for an exact Comparison of Entanglement Measures
Entanglement, which is an essential characteristic of quantum mechanics, is
the key element in potential practical quantum information and quantum
communication systems. However, there are many open and fundamental questions
(relating to entanglement measures, sudden death, etc.) that require a deeper
understanding. Thus, we are motivated to investigate a simple but non-trivial
correlated two-body continuous variable system in the absence of a heat bath,
which facilitates an \underline{exact} measure of the entanglement at all
times. In particular, we find that the results obtained from all well-known
existing entanglement measures agree with each other but that, in practice,
some are more straightforward to use than others
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
We develop a theory of Tannakian Galois groups for t-motives and relate this
to the theory of Frobenius semilinear difference equations. We show that the
transcendence degree of the period matrix associated to a given t-motive is
equal to the dimension of its Galois group. Using this result we prove that
Carlitz logarithms of algebraic functions that are linearly independent over
the rational function field are algebraically independent.Comment: 39 page
Discrete States in Light-Like Linear Dilaton Background
We study the spectrum of bosonic strings in the light-like linear dilaton
background and find discrete states. These are physical states which exist only
at specific values of momentum. All except one discrete states generate
spacetime symmetries. The exceptional discrete state corresponds to constraints
which are deformations of conservation laws. The constraints resemble those
arising from symmetries, and are equally powerful, suggesting that our notion
of symmetry should be generalized.Comment: Latex, 21 pages, minor change
Discussion: "Radial strain behaviors and stress state interpretation of soil under direct simple shear" by X. Kang, Y. Cheng, and L. Ge.
Two methods were used in determining the stress state of simple shear tests in the discussed paper. The authors stated that the second method was proposed by Oda and Konishi, based on the distribution law of contact force (Oda, M. and Konishi, J., “Rotation of Principal Stresses in Granular Material During Simple,” Soils and Foundations., Vol. 14, No. 4, 1974, pp. 39–53.). However, the relation used in the method was found by Roscoe et al. from experimental results (Roscoe, K. H., Bassett, R. H., and Cole, E. R. L., “Principal Axes Observed During Simple Shear of a Sand,” Proceedings of the Geotechnical Conference on Shear Strength Properties of Natural Soils and Rocks, Vol. 1, Norwegian Geotechnical Institute, Oslo, 1967, pp. 231–237.). In addition, the determination of the constant k, which used k = 1 − K0, was problematic in the discussed paper. First, the equation could only be deduced after some assumptions were made. Second, the value of k was not a constant if the K0 changed
Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity
In this paper, we study slowly rotating black hole solutions in Lovelock
gravity (n=3). These exact slowly rotating black hole solutions are obtained in
uncharged and charged cases, respectively. Up to the linear order of the
rotating parameter a, the mass, Hawking temperature and entropy of the
uncharged black holes get no corrections from rotation. In charged case, we
compute magnetic dipole moment and gyromagnetic ratio of the black holes. It is
shown that the gyromagnetic ratio keeps invariant after introducing the
Gauss-Bonnet and third order Lovelock interactions.Comment: 14 pages, no figur
Nonperturbative late time asymptotics for heat kernel in gravity theory
Recently proposed nonlocal and nonperturbative late time behavior of the heat
kernel is generalized to curved spacetimes. Heat kernel trace asymptotics is
dominated by two terms one of which represents a trivial covariantization of
the flat-space result and another one is given by the Gibbons-Hawking integral
over asymptotically-flat infinity. Nonlocal terms of the effective action
generated by this asymptotics might underly long- distance modifications of the
Einstein theory motivated by the cosmological constant problem. New mechanisms
of the cosmological constant induced by infrared effects of matter and graviton
loops are briefly discussed.Comment: 22 pages, LaTeX, final version, to be published in Phys. Rev.
Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate
We demonstrate that the ambiguity of the particle content for quantum fields
in a generally curved space-time can be experimentally investigated in an
ultracold gas of atoms forming a Bose-Einstein condensate. We explicitly
evaluate the response of a suitable condensed matter detector, an ``Atomic
Quantum Dot,'' which can be tuned to measure time intervals associated to
different effective acoustic space-times. It is found that the detector
response related to laboratory, ``adiabatic,'' and de Sitter time intervals is
finite in time and nonstationary, vanishing, and thermal, respectively.Comment: 9 pages, 2 figures; references updated, as published in Physical
Review
- …