118750591
Chaos from the ring string in a Gauss-Bonnet black hole in AdS5 space
By the Poincare sections, the dynamical behaviors of the ring string in the AdS-Gauss-Bonnet (AdS-GB) black hole are studied. A threshold value of the Gauss-Bonnet (GB) parameter $\lambda$ are found by the numerical method, below which the behavior of this dynamical system is no-chaotic and above which the behavior becomes gradually chaotic. The chaotic behavior becomes stronger with the increases of GB parameter. It is different from the case in the AdS-Schwarzschild black hole, which is weakly chaotic. Furthermore, we confirm our findings by the Fast Lyapunov indicators.
118473731
Some properties of the holographic fermions in an extremal charged dilatonic black hole
We study the properties of the Green's functions of the fermions in the extremal charged dilatonic black hole proposed by Gubser and Rocha [Phys. Rev. D \textbf{81}, 046001 (2010)]. We find that many properties seem to be in agreement with that of Fermi liquid. Especially, the dispersion relation is linear. It is very different from that found in the extremal Reissner-Nordstr$\ddot{o}$m (RN) black hole for massless fermion, which is obviously non-Fermi liquid due to a nonlinear dispersion relation. However, for another scaling behavior of the height of $ImG_{11}$ at the maximum, the scaling exponent is not one, which is at odds with that found in the RN black hole.
119219715
Dynamics of tachyon field in spatially curved FRW universe
The dynamics of a tachyon field plus a barotropic fluid is investigated in spatially curved FRW universe. We perform a phase-plane analysis and obtain scaling solutions accompanying with a discussion on their stability. Furthermore, we construct the form of scalar potential which may give rise to stable solutions for spatially open and closed universe separately.
119200821
The 3+1 holographic superconductor with Weyl corrections
Abstract In this Letter we study 3 + 1 holographic superconductors with Weyl corrections. We find that the critical temperature of a superconductor with Weyl corrections increases as we amplify the Weyl coupling parameter γ , indicating the condensation will be harder when the parameter γ decreases. We also calculate the conductivity and the ratio of gap frequency over critical temperature ω g / T c numerically for various coupling parameters. We find that the ratio ω g / T c becomes larger when the Weyl coupling parameter γ decreases. We also notice that when γ 0 there is an extra spike that appears inside the gap.
121662548
The analytical treatments on the low energy behaviors of the holographic non-relativistic fermions
Abstract We investigate the low energy behaviors around the Fermi surface at the non-relativistic fixed points and give some clear and direct numerical results on the structure of the Fermi surface in the presence of a holographic flat band. Compared with the case of the dual relativistic fermionic system, the Fermi momentum is suppressed by the presence of the holographic flat band. In particular, we give an analytical understanding of the low energy behaviors of the dual non-relativistic fermionic system. One finds that due to AdS 2 × R 2 background geometry in the near horizon limit, the scaling behaviors of the spectral function at the non-relativistic fixed points is as same as that at the relativistic fixed points, which controlled by the IR Greenʼs function G I ( k , ω ) . As a check, we also give a comparison about the scaling exponents δ of the dispersion relation between the numerical and analytical results. One finds that the numerical result is agree well with the analytical that.
118665852
Holographic lattice in Einstein-Maxwell-dilaton gravity
A bstractWe construct an ionic lattice background in the framework of Einstein-Maxwell-dilaton theory in four dimensional space time. The optical conductivity of the dual field theory on the boundary is investigated. Due to the lattice effects, we find the imaginary part of the conductivity is manifestly suppressed in the zero frequency limit, while the DC conductivity approaches a finite value such that the previous delta function reflecting the translation symmetry is absent. Such a behavior can be exactly fit by the Drude law at low frequency. Moreover, we find that the modulus of the optical conductivity exhibits a power-law behavior at intermediate frequency regime. Our results provides further support for the universality of such power-law behavior recently disclosed in Einstein-Maxwell theory by Horowitz, Santos and Tong.
119695474
Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
The present work is much motivated by finding an explicit way in the construction of the Jack symmetric function, which is the spectrum generating function for the Calogero-Sutherland (CS) model. To accomplish this work, the hidden Virasoro structure in the CS model is much explored. In particular, we found that the Virasoro singular vectors form a skew hierarchy in the CS model. Literally, skew is analogous to coset, but here specifically refer to the operation on the Young tableaux. In fact, based on the construction of the Virasoro singular vectors, this hierarchical structure can be used to give a complete construction of the CS states, i.e. the Jack symmetric functions, recursively. The construction is given both in operator formalism as well as in integral representation. This new integral representation for the Jack symmetric functions may shed some insights on the spectrum constructions for the other integrable systems.
119288215
Entanglement temperature in non-conformal cases
A bstractPotential reconstruction can be used to find various analytical asymptotical AdS solutions in Einstein dilation system generally. We have generated two simple solutions without physical singularity called zero temperature solutions. We also proposed a numerical way to obtain black hole solution in Einstein dilaton system with special dilaton potential. By using this method, we obtain the corresponding black hole solutions numerically and investigate the thermal stability of the black hole by comparing the free energy of thermal gas and the corresponding black hole. In two groups of non-conformal gravity solutions obtained in this paper, we find that the two thermal gas solutions are more unstable than black hole solutions respectively. Finally, we consider black hole solutions as a thermal state of zero temperature solutions to check that the first thermal dynamical law exists in entanglement system from holographic point of view.
15649438
Generalized inverse-Cowling approximation for polar w-mode oscillations of neutron stars
Adopting the Lindblom-Detweiler formalism for polar oscillations of neutron stars, we study the w-mode oscillation and find that the Lagrangian change in pressure, measured by the physical quantity X, is negligibly small. Based on this observation, we develop the generalized inverse-Cowling approximation (GICA) with the approximation X = X' = 0, where X' is the derivative of X with respect to the circumferential radius for w-mode oscillations of neutron stars. Under the GICA, w-mode oscillations are described by a second-order differential system, which can yield accurate frequencies and damping rates of quasi-normal modes.
119240361
High-frequency behavior of w-mode pulsations of compact stars
We study the asymptotic behavior of the quasinormal modes (QNMs) of $w$-mode pulsations of compact stars in the high-frequency regime. We observe that both the axial and polar $w$-mode QNMs attain similar asymptotic behaviors in spite of the fact that they are described by two totally different differential equation systems. We obtain robust asymptotic formulas relating $w$-mode QNMs of different polarities and different angular momenta. To explore the physical reason underlying such similarity, we first derive a high-frequency approximation for the polar $w$-mode oscillations to unify the descriptions for both cases. Then, we develop WKB-type analyses for them and quantitatively explain the observed asymptotic behaviors for polytropic stars and quark stars. We also point out that such asymptotic behaviors for realistic stars are strongly dependent on the equation of state near the stellar surface.
15138971
The first calculation for the mass of the ground 4(++) glueball state on lattice
Under the quenched approximation, we perform a lattice calculation for the mass of the ground 4(++) glueball state in E++ channel on a D = 3+1 lattice. Our calculation shows that the mass of this state is M-G(4(++)) = 3.65(6)(18) GeV, which rules out the 4(++) or mainly 4(++) glueball state interpretation for xi(2230).