Journal of Holography Applications in Physics
https://jhap.du.ac.ir/
Journal of Holography Applications in Physicsendaily1Tue, 01 Nov 2022 00:00:00 +0330Tue, 01 Nov 2022 00:00:00 +0330Euclidean and Lorentzian Actions of the Classicalized Holographic Tensor Network
https://jhap.du.ac.ir/article_294.html
In three spacetime dimensions, we propose a generally covariant Lorentzian action of the classicalized holographic tensor network (cHTN) as the holographic reduction of the Einstein--Hilbert action of gravity in the presence of a negative cosmological constant.In this article, first, we investigate the properties of this Lorentzian action in the ground state.Next, based on the Euclidean action of the cHTN, we derive the gravity perturbation induced by a massive particle at rest in the cHTN as the Unruh effect.Finally, we view our holographic formulation of spacetime as a non-equilibrium second law subject to general covariance.Gauge Invariant Degeneracies and Rotational Symmetry Eigenstates in Noncommutative Plane
https://jhap.du.ac.ir/article_281.html
We calculate the gauge invariant energy eigenvalues and degeneracies of a spinless charged particle confined in a circular harmonic potential under the influence of a perpendicular magnetic field B on a 2D noncommutative plane. The phase space coordinates transformation based on the 2-parameter family of unitarily equivalent irreducible representations of the nilpotent Lie group GNC was used to accomplish this. &nbsp;We find that the energy eigenvalues and quantum states of the system are unique since they depend on the particle of interest and the applied magnetic field $B$. Without B, we essentially have a noncommutative planar harmonic oscillator under the Bopp shift formulation. The corresponding degeneracy is not unique with respect to the choice of particle, and they are only reliant on the two free integral parameters. The degeneracy is not unique for the scale B&theta; = h and is in fact isomorphic to the Landau problem in symmetric gauge; thus, each energy level is infinitely degenerate for any arbitrary magnitude of magnetic field. If 0 &lt; B&theta; &lt; h , the degeneracy is unique with respect to both the particle of interest and the applied magnetic field. The system is, in principle, highly non-degenerate and, in practice, effectively non-degenerate, as only the finely-tuned magnetic field can produce degenerate states. In addition, the degeneracy also depends on the two free integral parameters. Numerical examples are provided to present the degeneracies, probability densities, and effects of B and &theta; on the ground and excited states of the system for all cases using the physical constants from the numerical simulation and experiment on a single GaAs parabolic quantum dot.Quantum Measuring Systems: Considerations from the Holographic Principle
https://jhap.du.ac.ir/article_308.html
In quantum mechanics without application of any superselection rule tothe set of the observables, a closed quantum system temporally evolves unitarily, andthis Lorentzian regime is characterized by von Neumann entropy of exactly zero.In the holographic theory in the classicalized ground state, we argue that the unitary real-time evolution of a non-relativistic free particle with complex-valued quantum probability amplitude in this Lorentzian regime can be temporally analytically continued toan imaginary-time classical stochastic process with real-valued conditional probabilitydensity in the Euclidean regime, where the von Neumann entropy of the classicalizedhologram and the information of a particle trajectory acquired by the classicalized hologram are positive valued.This argument could shed light on the Euclidean regime of the holographic Universe.Second-Order Perturbation in Adaptive Perturbation Method
https://jhap.du.ac.ir/article_277.html
The perturbation method is an approximation scheme with a solvable leading order. The standard way is to choose a non-interacting sector for the leading order. The adaptive perturbation method improves the solvable part by using all diagonal elements for a Fock state. We consider the harmonic oscillator with the interacting term, &lambda;1x4/6 + &lambda;2x6/120, where &lambda;1 and &lambda;2 are coupling constants, and x&nbsp; is the position operator. The spectrum shows a quantitative result from the second-order, less than 1 percent error, compared to a numerical solution when turning off the &lambda;2. When we turn on the &lambda;2, more deviation occurs, but the error is still less than 2 percent. We show a quantitative result beyond a weak-coupling region. Our study should provide interest in the holographic principle and strongly coupled boundary theory.Quantum gravitational corrected evolution equations of charged black holes
https://jhap.du.ac.ir/article_304.html
We explain how quantum gravity, treated as an effective field theory, might modify theevaporative evolution of a four-dimensional, non-extremal, non-rotating, charged blackhole. With some approximations, we derive a set of coupled differential equations describingthe charge and mass of the black hole as a function of time. These equations representa generalisation of the analogous ones already present in the literature for classical blackholes.Studies of Transport Coefficients in Charged AdS4 Black Holes on κ-Deformed Space
https://jhap.du.ac.ir/article_293.html
In this work, we study the effect of &kappa;-deformed space on the thermodynamic quantities, this is find through the holographic renormalization that provides the free energy, which is fundamental to deriving another thermodynamic quantities. For this scenario we consider a charged AdS4 black hole for an Einstein-Maxwell model where the derivative quadrivector is replaced by a deformed version inspired by Kaniadakis statistics. Besides, we extract the transport coefficient known as electrical conductivity.Geodesic motion in the spacetime of a (2 + 1) D black hole conformally coupled to a massless scalar
https://jhap.du.ac.ir/article_309.html
In this paper, we consider a (2+1) D black hole conformally coupled to a masslessscalar. Then the geodesic motion of test particles and light rays in the vicinity of the spacetime ofthis black hole is studied. Moreover, the geodesic equations are solved analytically according toWeierstrass elliptic and derivatives of Kleinian sigma hyperelliptic functions. Also, the possibleorbits are discussed and classified according to the particle's energy and angular momentum.Radiation from Hayward Black Hole via Tunneling Process in Einstein-Gauss-Bonnet Gravity
https://jhap.du.ac.ir/article_295.html
One of the most promising theories for modified gravity is the Einstein-Gauss-Bonnet (EGB) gravity. In the framework of EGB gravity, we intend to compute the Hawking radiation of a 5-dimensional Hayward black hole with a regular center and with both inner (Cauchy) and outer (event) horizons. On the basis of particles in a dynamical geometry, we provide a brief derivation of Hawking radiation as a tunneling process. The Boltzmann factor of emission at the Hawking temperature is related to the imaginary part of the action for the classically prohibited process.Bouncing Universe for deformed non-minimally coupled inflation model
https://jhap.du.ac.ir/article_307.html
In this paper, we consider non-minimally coupled gravity model. We choose some suitable new variables and achieve the new Hamiltonian and Lagrangian which have harmonic oscillator form. The corresponding Lagrangian is deformed by non-commutative geometry. In order to have solution for the bouncing universe we specify the potential in the equation state. In that case we draw the equation of state in terms of time and show that the equation of state cross $-1$. Such bouncing behavior lead us to apply some conditions on $theta$ and $beta$ from non-commutative geometry. Here, also we can check the stability of system due to deformation of the non-minimally coupled to gravity model. In order to examine thestability of system we obtain the variation of pressure with respect to density energy. Also, we draw the variation of pressure with respect to energy density and show the condition of stability.Einstein-Aether Scalar-Tensor Anisotropic Constant-Roll Inflationary Scenario in Noncommutative Phase Space
https://jhap.du.ac.ir/article_272.html
The primary purpose of this study is to investigate the constant-roll inflationary scenario with anisotropic conditions concerning the Einstein-aether Scalar-tensor Cosmology in noncommutative phase space. We first introduce an Einstein-aether scalar-tensor cosmological model. In this structure, one can introduce an aether field with aether coefficients in the action integral of scalar-tensor. It will be a function of the scalar field, which is, in fact, a kind of extender of the Lorentz-violating theories. Hence, we present the point-like Lagrangian, which represents the field equations of the &nbsp;Einstein-aether scalar-tensor model. Then we calculate the Hamiltonian of our model directly. According to the noncommutative phase space characteristics, we will calculate the specific equations of this model. Then, according to the constant-roll conditions, we take the anisotropic constant-roll inflationary scenario and calculate some cosmological parameters of the mentioned model, such as the Hubble parameter, potential, etc.Electromagnetic properties of the N+γ^*→R(1710) transition in hard-wall AdS/QCD model
https://jhap.du.ac.ir/article_312.html
We apply the hard-wall model for the nucleon-Roper transition form factors investigation and consider the N+&gamma;^*&rarr;R(1710) transition. The profile functions of the spinor and vector fields in the bulk of AdS space are presented. We plot the Dirac and Pauli form factor dependencies on transferred momentum square. Also, the spiral amplitudes for these transitions are presented. The hard-wall results are close to experimental data and nonrelativistic quark model at some point.Holographic dual picture of a modified Horndeski black hole
https://jhap.du.ac.ir/article_303.html
The usual Horndeski black hole do not have $ P-V $ critical points, hence do not show any phase transitions. In this article we a particular modified Horndenski black hole is considered to study the $ P-V $ diagram and the phase transitions. We show that this modified Horndeski black hole solution satisfies the textit{Ist} order phase transition. We also show that the modified Horndeski black hole is holographic dual of a textit{Van der Waals}(VdW) fluid. Finally, we study the thermodynamics of modified Horndeski black hole based on the equation of state originating from the slope of temperature versus entropy. This new prescription provides us a simple and powerful way to study the critical behavior and the phase transition of black holes. The analytical interpretation of possible phase transition points leads us to set some nonphysical range on the horizon radius for the black hole.