4,626 research outputs found
Entropic force and entanglement system
We introduce the isothermal cavity, static holographic screen, and
accelerating surface as holographic screen to study the entropic force in the
presence of the Schwarzschild black hole. These may merge to provide a
consistent holographic screen to define the entropic force on the stretched
horizon near the event horizon. Considering the similarity between the
stretched horizon of black hole and the entanglement system, we may define the
entropic force in the entanglement system without referring the source mass.Comment: 17 pages, 2 figures, version to appear in PR
Nonexistence of quasinormal modes in the extremal BTZ black hole
We show that quasinormal modes cannot exist in the extremal BTZ black hole.
For this purpose, we consider propagations of a minimally coupled scalar and a
single massive graviton obtained from the cosmological topologically massive
gravity on the extremal BTZ black hole. The would-be quasinormal modes for a
scalar and graviton could not exist because it is impossible to make an ingoing
flux into the extremal (degenerate) horizon. This is consistent with the
argument that there is no propagating dynamics in the self-dual orbifold of
AdS(3) which is just the near-horizon limit of the extremal BTZ black hole.Comment: 13 pages, 2 figures, references adde
BRST quantization of a sixth-order derivative scalar field theory
We study a sixth order derivative scalar field model in Minkowski spacetime
as a toy model of higher-derivative critical gravity theories. This model is
consistently quantized when using the Becchi-Rouet-Stora-Tyutin (BRST)
quantization scheme even though it does not show gauge symmetry manifestly.
Imposing a BRST quartet generated by two scalars and ghosts, there remains a
non-trivial subspace with positive norm. This might be interpreted as a
Minkowskian dual version of the unitary truncation in the logarithmic conformal
field theory.Comment: 13 pages, 2 figures, version to appear in MPL
Entropy of black holes in topologically massive gravity
We study the issue of black hole entropy in the topologically massive
gravity. Assuming that the presence of gravitational Chern-Simons term with the
coupling does modify the horizon radius , we propose
as the Bekenstein-Hawking entropy. This
entropy of CS-BTZ black hole satisfies the first-law of thermodynamics and the
area-law but it is slightly different from the shifted-entropy based on the BTZ black hole with outer
and inner horizon . In the case of , represents
the entropy of non-rotating BTZ black hole with the Chern-Simons term
(NBTZ-CS), while reduces to the entropy of NBTZ black hole. It shows that
may be a candidate for the entropy of the CS-BTZ black hole.Comment: 11 pages, an expanded version to discuss thermodynamic aspects of
BTZ-CS and CS-BTZ black hole
Entropy function approach to charged BTZ black hole
We find solution to the metric function f(r)=0 of charged BTZ black hole
making use of the Lambert function. The condition of extremal charged BTZ black
hole is determined by a non-linear relation of M_e(Q)=Q^2(1-\ln Q^2). Then, we
study the entropy of extremal charged BTZ black hole using the entropy function
approach. It is shown that this formalism works with a proper normalization of
charge Q for charged BTZ black hole because AdS_2 x S^1 represents near-horizon
geometry of the extremal charged BTZ black hole. Finally, we introduce the
Wald's Noether formalism to reproduce the entropy of the extremal charged BTZ
black hole without normalization when using the dilaton gravity approach.Comment: 18 pages, 8 figures, version to appear in GR
Massive logarithmic graviton in the critical generalized massive gravity
We study the generalized massive gravity in three dimensional flat spacetime.
A massive logarithmic mode is propagating in the flat spacetime at the critical
point where two masses degenerate. Furthermore, we discuss the logarithmic
extension of the Galilean conformal algebra (GCA) which may arise from the
exotic and standard rank-2 logarithmic conformal field theory (LCFT) on the
boundary of AdS3 spacetime.Comment: 11 page
Entropic force versus temperature force
We introduce the cavity enclosing a source mass to define the temperature
force. Starting with the Tolman temperature in the stationary spacetime, we
find a non-relativistic temperature with the
Newtonian potential . This temperature could be also derived from the
Tolman-Ehrenfest effect, satisfying a relation of
with the local temperature . Finally, we derive the temperature force
which leads to the Newtonian force
law without introducing the holographic screen defined by holographic principle
and equipartition law for entropic force.Comment: 10 pages, 2 figure
Black hole thermodynamics with generalized uncertainty principle
We apply the generalized uncertainty principle to the thermodynamics of a
small black hole. Here we have a black hole system with the UV cutoff. It is
shown that the minimal length induced by the GUP interrupts the
Gross-Perry-Yaffe phase transition for a small black hole. In order to see
whether the black hole remnant takes place a transition to a large black hole,
we introduce a black hole in a cavity (IR system). However, we fail to show the
phase transition of the remnant to the large black hole.Comment: 11 pages, 4 eps.figures, version to appear in PL
Quantization of n coupled scalar field theory
We study a model of n coupled scalar fields in Minkowski spacetime where all
masses degenerate, which is considered as a toy model of polycritical gravity
on AdS spacetime. We quantize this model within the Becchi-Rouet-Stora-Tyutin
(BRST) scheme by introducing n Faddeev-Popov (FP) ghost fields. Extending a
BRST quartet generated by two scalars and two FP ghosts to n scalars and n FP
ghosts, there remains a physical subspace with positive norm for odd n, but
there exists only the vacuum for even n. This clearly shows a non-triviality of
odd-higher order derivative scalar field theories. This is helpful to
understand the truncation mechanism which is used to obtain a unitary conformal
field theory dual to linearized polycritical gravity. It turns out that the
truncation mechanism is nothing but a general quartet mechanism appeared when
introducing the FP ghost action.Comment: 18 pages, version to appear in PR
Hole-driven MIT theory, Mott transition in VO_2, MoBRiK
For inhomogeneous high-T_c superconductors, hole-driven metal-insulator
transition (MIT) theory explains that the gradual increase of conductivity with
increasing hole doping is due to inhomogeneity with the local Mott system
undergoing the first-order MIT and the local non-Mott system. For VO_2, a
monoclinic and correlated metal (MCM) phase showing the linear characteristic
as evidence of the Mott MIT is newly observed by applying electric field and
temperature. The structural phase transition occurs between MCM and Rutile
metal phases. Devices using the MIT are named MoBRiK.Comment: 2 pages, 1 figures, This was presented in the 8th International
Conference on Materials and Mechanisms of Superconductivity and High
Temperature Superconductors (M2S-HTSC-VIII) held in Dresden Germany from July
9 to July 14, 200
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