464 research outputs found
Jackiw-Teitelboim Gravity in the Second Order Formalism
We formulate the path integral for Jackiw-Teitelboim gravity in the second
order formalism working directly with the metric and the dilaton. We consider
the theory both in Anti-de Sitter(AdS) and de Sitter space(dS) and analyze the
path integral for the disk topology and the "double trumpet" topology with two
boundaries. We also consider its behavior in the presence of conformal matter.
In the dS case the path integral evaluates the wavefunction of the universe
which arises in the no-boundary proposal. In the asymptotic AdS or dS limit
without matter we get agreement with the first order formalism. More generally,
away from this limit, the path integral is more complicated due to the presence
of modes from the gravity-dilaton sector and also matter sector with short
wavelengths along the boundary that are smaller than the AdS or dS scales. In
the double trumpet case, for both AdS and dS, we find that bosonic matter gives
rise to a diverging contribution in the moduli space integral rendering the
path integral ill-defined. The divergence occurs when the size of the wormhole
neck vanishes and is related to the Casimir effect. For fermions this
divergence can be avoided by imposing suitable boundary conditions. In this
case, in dS space the resulting path integral gives a finite contribution for
two disconnected universes to be produced by quantum tunneling.Comment: version 4, Minor revisions made and Typos correcte
Parallel software tools at Langley Research Center
This document gives a brief overview of parallel software tools available on the Intel iPSC/860 parallel computer at Langley Research Center. It is intended to provide a source of information that is somewhat more concise than vendor-supplied material on the purpose and use of various tools. Each of the chapters on tools is organized in a similar manner covering an overview of the functionality, access information, how to effectively use the tool, observations about the tool and how it compares to similar software, known problems or shortfalls with the software, and reference documentation. It is primarily intended for users of the iPSC/860 at Langley Research Center and is appropriate for both the experienced and novice user
Accurate Description of Photoionization Dynamical Parameters
Calculation of dynamical parameters for photoionization requires an accurate description of the initial and final states of the system, as well as of the outgoing electron. We show that using a linear combination of atomic orbitals B-spline density functional theory (DFT) method to describe the outgoing electron, in combination with correlated equation of motion coupled cluster singles and double Dyson orbitals, gives good agreement with experiment and outperforms other simpler approaches, like plane and Coulomb waves, used to describe the photoelectron. Results are presented for cross-sections, angular distributions, and dichroic parameters in chiral molecules, as well as for photoionization from excited states. We also present a comparison with the results obtained using Hartree-Fock and DFT molecular orbitals selected according to Koopmans' theorem for the bound states
Quasicrystals: Making invisible materials
All-dielectric photonic quasicrystals may act as zero-refractive-index
homogeneous materials despite their lack of translational symmetry and
periodicity, stretching wavelengths to infinity and offering applications in
light wavefront sculpting and optical cloaking.Comment: 5 pages, 2 figure
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