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The spectral form factor is believed to exhibit a special type of behavior called ``dip-ramp-plateau'' in chaotic quantum systems that originates from random matrix theory. This suggests that the shape of the spectral form factor could…

High Energy Physics - Theory · Physics 2025-05-02 Dmitry S. Ageev , Vasilii V. Pushkarev , Anastasia N. Zueva

We consider a black hole with a stretched horizon as a toy model for a fuzzball microstate. The stretched horizon provides a cut-off, and therefore one can determine the normal (as opposed to quasi-normal) modes of a probe scalar in this…

High Energy Physics - Theory · Physics 2023-03-21 Suman Das , Chethan Krishnan , A. Preetham Kumar , Arnab Kundu

This paper investigates the normal modes of a probe scalar field in a five-dimensional AdS-Schwarzschild black hole with the brick wall boundary condition near the horizon. We employ various techniques to compute the spectrum and analyze…

High Energy Physics - Theory · Physics 2025-02-06 Suman Das , Somnath Porey , Baishali Roy

Based on previous works, in this article we systematically analyze the implications of the explicit normal modes of a probe scalar sector in a BTZ background with a Dirichlet wall, in an asymptotically AdS-background. This is a…

High Energy Physics - Theory · Physics 2025-01-22 Souvik Banerjee , Suman Das , Arnab Kundu , Michael Sittinger

Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. Orthonormal relations among them are derived. Quantization for scalar fields is done and particle number, energy and angular momentum are expressed by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Kenmoku , M. Kuwata , K. Shigemoto

We study the semi-classical dynamics of a scalar field in the background of a black hole in an asymptotically AdS (AAdS) spacetime, in the framework of the Hamiltonian formulation of General Relativity. The small diffeomorphism (gauge)…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

We investigate the scalar field equation in a (2+1)-dimensional charged BTZ black hole. The quasinormal spectra of the solution are obtained applying two different methods and good convergence between both is achieved. Using the…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Rodrigo Dal Bosco Fontana

We study the quasinormal spectrum of massless scalar fields propagating on a family of regular BTZ black holes arising from an infinite tower of dimensionally regularized Lovelock corrections. These geometries are asymptotically AdS, reduce…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Kartheek Hegde , Tajron Jurić , A. Naveena Kumara

We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the…

High Energy Physics - Theory · Physics 2015-10-29 Kumar S. Gupta , E. Harikumar , Tajron Jurić , Stjepan Meljanac , Andjelo Samsarov

In this article, we demonstrate how black hole quasi-normal modes can emerge from a Dirichlet brickwall model normal modes. We consider a probe scalar field in a BTZ geometry with a Dirichlet brickwall and demonstrate that as the wall…

High Energy Physics - Theory · Physics 2024-03-12 Souvik Banerjee , Suman Das , Moritz Dorband , Arnab Kundu

In this work, we study the spectral form factor of random matrix models which exhibit a large number of degenerate ground states accompanied by a macroscopic gap in the spectrum. The central aim of this work is to understand how the…

High Energy Physics - Theory · Physics 2026-04-06 Krishan Saraswat

The spectral form factor (SFF) can probe the eigenvalue statistic at different energy scales as its time variable varies. In closed quantum chaotic systems, the SFF exhibits a universal dip-ramp-plateau behavior, which reflects the spectrum…

Statistical Mechanics · Physics 2024-08-22 Yi-Neng Zhou , Tian-Gang Zhou , Pengfei Zhang

Black hole normal modes have intriguing connections to logarithmic spectra, and the spectral form factor (SFF) of $E_n = \log n$ is the mod square of the Riemann zeta function (RZF). In this paper, we first provide an analytic understanding…

High Energy Physics - Theory · Physics 2025-05-02 Pallab Basu , Suman Das , Chethan Krishnan

We investigate the charged scalar field propagating in a (2+1) charged BTZ black hole. The conditions for stability are studied unveiling, for each black hole geometry, the existence of a critical scalar charge as of the evolution is…

General Relativity and Quantum Cosmology · Physics 2024-02-27 R. D. B Fontana

We have studied the scalar field as well as the fermonic field perturbations in the background of the massless BTZ black holes. Comparing with the perturbation results in the generic nonrotating BTZ black hole background, we found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Xiaoping Rao , Bin Wang , Guohong Yang

We investigate the massless scalar field perturbations, including the quasinormal mode spectrum and the ringdown waveform, of a regular black hole spacetime that was derived via the Loop Quantum Gravity inspired polymer quantization of…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey , Gabor Kunstatter

Generalizations of the Randall-Sundrum model containing a bulk scalar field $\Phi$ interacting with the curvature $R$ through the general coupling $R f(\Phi)$ are considered. We derive the general form of the effective 4D potential for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Grzadkowski , J. F. Gunion

We study the behavior of a scalar field under a z = 3 Lifshitz black hole background, in a way that is non-minimally coupled to the gravitational field. A general analytical solution is obtained along with two sets of quasinormal modes…

High Energy Physics - Theory · Physics 2012-09-24 Samuel Lepe , Javier Lorca , Francisco Pena , Yerko Vasquez

We study the quasinormal spectrum of a massive test scalar field in the exact asymptotically flat regular black-hole geometry supported by a phantom Dirac--Born--Infeld scalar. Using high-order WKB approximation improved by Pad\'e…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Milena Skvortsova

We propose an approach to describe Spontaneous Symmetry Breaking (SSB) that does not rely on the order parameter dependent free energy (Landau theory). We use the Functional Renormalization Group (FRG) evolution of the explicitly broken…

High Energy Physics - Theory · Physics 2022-08-31 A. Jakovac , P. Mati , P. Posfay
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