240 research outputs found
Scalar Boundary Conditions in Hyperscaling Violating Geometry
We study the possible boundary conditions of scalar field modes in a
hyperscaling violation(HV) geometry with Lifshitz dynamical exponent and hyperscaling violation exponent . For
the case with , we show that in the parameter range with , the boundary
conditions have different types, including the Neumann, Dirichlet and Robin
conditions, while in the range with , only Dirichlet type
condition can be set. In particular, we further confirm that the mass of the
scalar field does not play any role in determining the possible boundary
conditions for , which has been addressed in Ref. \cite{1201.1905}.
Meanwhile, we also do the parallel investigation in the case with .
We find that for , three types of boundary conditions are available, but
for , only one type is available.Comment: 19 page
Entanglement Entropy as a Probe of the Proximity Effect in Holographic Superconductors
We study the entanglement entropy as a probe of the proximity effect of a
superconducting system by using the gauge/gravity duality in a fully
back-reacted gravity system. While the entanglement entropy in the
superconducting phase is less than the entanglement entropy in the normal
phase, we find that near the contact interface of the superconducting to normal
phase the entanglement entropy has a different behavior due to the leakage of
Cooper pairs to the normal phase. We verify this behavior by calculating the
conductivity near the boundary interface.Comment: 10 pages, 7 figures, extended version to be published in JHE
The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
We investigate the probabilities of the tunneling and the radiation spectrums
of the massive spin-1 particles from arbitrary dimensional Gauss-Bonnet-Axions
(GBA) Anti-de Sitter (AdS) black brane, via using the WKB approximation to the
Proca spin-1 field equation. The tunneling probabilities and Hawking
temperature of the arbitrary dimensional GBA AdS black brane is calculated via
the Hamilton-Jacobi approach. We also compute the Hawking temperature via
Parikh-Wilczek tunneling approach. The results obtained from the two methods
are consistent. In our setup, the Gauss-Bonnet (GB) coupling affects the
Hawking temperature if and only if the momentum of axion fields is
non-vanishing.Comment: 11 pages; version 2,references added; published versio
- …