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We study the back-reaction of a quantum scalar field on anti-de Sitter (AdS) space-time. The renormalized expectation value of the stress-energy tensor operator for a massless, conformally-coupled quantum scalar field on global AdS…

High Energy Physics - Theory · Physics 2025-05-09 Jacob C. Thompson , Elizabeth Winstanley

Quantum Field Theories (QFTs) in Anti-de Sitter (AdS) spacetime are often strongly coupled when the radius of AdS is large, and few methods are available to study them. In this work, we develop a Hamiltonian truncation method to compute the…

High Energy Physics - Theory · Physics 2021-09-01 Matthijs Hogervorst , Marco Meineri , Joao Penedones , Kamran Salehi Vaziri

We discuss electrostatics in Anti-de-Sitter ($AdS$) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Carlos Herdeiro , Eugen Radu

Soliton solutions in scalar field theory defined on a two-dimensional Anti-de Sitter background space-time are investigated. It is shown that the lowest soliton excitation generically has frequency equal to the inverse radius of the…

High Energy Physics - Theory · Physics 2009-11-13 J. L. Barnes , D. P. Schroeder , T. ter Veldhuis , M. J. Webster

We study the stress-energy tensor of a massless, conformally coupled, quantum scalar field in a rigidly-rotating thermal state on three- and four-dimensional anti-de Sitter space-time. We first find the stress-energy tensor using…

High Energy Physics - Theory · Physics 2025-08-08 Jacob C. Thompson , Elizabeth Winstanley

Electrostatics on global Anti-de-Sitter (AdS) spacetime is sharply different from that on global Minkowski spacetime. It admits a multipolar expansion with everywhere regular, finite energy solutions, for every multipole moment except the…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Carlos Herdeiro , Eugen Radu

We present spinning Q-balls and boson stars in four dimensional anti-de Sitter spacetime. These are smooth, horizonless solutions for gravity coupled to a massive complex scalar field with a harmonic dependence on time and the azimuthal…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Eugen Radu , Bintoro Subagyo

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We introduce a regularized free energy $\mathcal{F}_{\text{AdS}}$ for massive quantum field theories (QFTs) on Anti-de Sitter space (AdS). We conjecture this quantity to be monotonic under the renormalization group (RG) flow induced by…

High Energy Physics - Theory · Physics 2025-12-23 Davide Bason , Christian Copetti , Lorenzo Di Pietro , Ziming Ji , Shota Komatsu

The combination of Anti-de Sitter space (AdS) methods with light-front holography leads to a semi-classical first approximation to the spectrum and wavefunctions of meson and baryon light-quark bound states. Starting from the bound-state…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy de Teramond

The AdS soliton is a nonsingular spacetime that has a flat conformal boundary with a compact $S^1$ direction. We find a horizonless cohomogeneity-1 metric that describes nonlinear gravitational oscillations of the AdS soliton in five…

High Energy Physics - Theory · Physics 2020-09-01 Markus Garbiso , Takaaki Ishii , Keiju Murata

In this paper we calculate the vacuum expectation values of the stress-energy bitensor of a massive quantum scalar field with general coupling to N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean sections of the…

High Energy Physics - Theory · Physics 2011-09-08 H. T. Cho , B. L. Hu

We study the quantum gravitational corrections to the geometry of a four-dimensionalcharged (Reissner-Nordstr\"om) Anti de Sitter black hole starting from an effective field theory approach to quantum gravity. We use the expression of the…

High Energy Physics - Theory · Physics 2025-02-11 Behnam Pourhassan , Ruben Campos Delgado , Sudhaker Upadhyay , Hoda Farahani , Himanshu Kumar

The combination of Anti-de Sitter space (AdS) methods with light-front holography leads to a semi-classical first approximation to the spectrum and wavefunctions of meson and baryon light-quark bound states. Starting from the bound-state…

High Energy Physics - Phenomenology · Physics 2009-10-06 Stanley J. Brodsky , Guy F. de Téramond

Black holes exert quantum pressure coming from the nonlocal gravity correction. We investigate this nonlocal correction for black holes in anti-de Sitter (AdS) spacetime and its dual boundary field theory. We show that the second order…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Kristian Hauser A. Villegas , Reginald Christian Bernardo

We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Pedro Cañate , Daniela Magos , Nora Breton

The Eguchi-Hanson-AdS$_5$ family of spacetimes are a class of static, geodesically complete asymptotically locally AdS$_5$ soliton solutions of the vacuum Einstein equations with negative cosmological constant. They have negative mass and…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Turkuler Durgut , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

Noncommutative solitons are easier to find in a noncommutative field theory. Similarly, the one-loop quantum corrections to the mass of a noncommutative soliton are easier to compute, in a real scalar theory in 2+1 dimensions. We carry out…

High Energy Physics - Theory · Physics 2007-05-23 Miao Li

Motivated by the problem of stability of Anti-de Sitter (AdS) spacetime, we discuss nonlinear gravitational perturbations of maximally symmetric solutions of vacuum Einstein equations in general and the case of AdS in particular. We present…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Andrzej Rostworowski

We find infinitely many soliton-like solutions in a deformation of the sine-Gordon theory in $(d+1)$-dimensional $AdS_{d+1}$ (anti-de Sitter) spacetime for $d \geq 2$, as well as single solitonic solutions in $dS_{d+1}$ (de Sitter) and…

High Energy Physics - Theory · Physics 2026-04-07 E. T. Akhmedov , D. V. Diakonov
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