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Quantized fields (e.g., the graviton itself) in de Sitter (dS) spacetime lead to particle production: specifically, we consider a thermal spectrum resulting from the dS (horizon) temperature. The energy required to excite these particles…

High Energy Physics - Theory · Physics 2015-05-20 Chiu Man Ho , Stephen D. H. Hsu

We propose the action of d=4 Anti-de Sitter (AdS) spinning particle with arbitrary fixed quantum numbers. Regardless of the spin value, the configuration space of the model is a direct product of d=4 AdS space and two-dimensional sphere…

High Energy Physics - Theory · Physics 2007-05-23 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal , A. A. Sharapov

Particle experiments are difficult at weak coupling because interactions are rare and a huge number of collision attempts are needed to attain significant precision. One often hears that "one Higgs boson is produced in a billion of…

High Energy Physics - Theory · Physics 2019-03-07 Oleg Evnin

We propose a general framework for studying quantum field theory on the anti-de-Sitter space-time, based on the assumption of positivity of the spectrum of the possible energy operators. In this framework we show that the n-point functions…

High Energy Physics - Theory · Physics 2009-11-07 Jacques Bros , Henri Epstein , Ugo Moschella

An accelerated boundary correspondence (ABC) is solved for the de Sitter moving mirror cosmology. The beta Bogoliubov coefficients reveal the particle spectrum is a Planck distribution with temperature inversely proportional to horizon…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Michael R. R. Good , Abay Zhakenuly , Eric V. Linder

The quantum Anti-de Sitter (AdS) group and quantum AdS space is discussed. Ways of getting the quantum AdS group from real forms of quantum orthogonal group are presented. Differential calculus on the quantum AdS space are also introduced.…

High Energy Physics - Theory · Physics 2011-09-13 Zhe Chang

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

This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined for q a root of unity, which is covariant under U_q(so(2,D-1)). The scalar fields have an intrinsic high-…

Quantum Algebra · Mathematics 2007-05-23 Harold Steinacker

Physical consistency of quantum fields in anti-de Sitter space time requires that the space must be compactified by the inclusion of a boundary where appropriate conditions are imposed. An interpretation for the presence of this boundary is…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We investigate the phenomenon of particle production in a Friedmann-Robertson-Walker universe which contains a phase of de Sitter expansion for a finite interval, outside which it reduces to the flat Minkowski spacetime. We compute the…

High Energy Physics - Theory · Physics 2017-01-24 Victor E. Ambrus

If a state is passive for uniformly accelerated observers in n-dimensional anti-de Sitter space-time (i.e. cannot be used by them to operate a perpetuum mobile), they will (a) register a universal value of the Unruh temperature, (b)…

Mathematical Physics · Physics 2009-11-10 Detlev Buchholz , Stephen J. Summers

Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K) spinor notation for K=R,C,H, we find…

High Energy Physics - Theory · Physics 2017-04-12 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined which is covariant under U_q(so(2,D-1)), for q a root of unity. The star-structure is studied in detail. The scalar fields have an intrinsic high-energy cutoff,…

High Energy Physics - Theory · Physics 2014-11-18 Harold Steinacker

We study defects of various dimensions moving through Anti-de Sitter space. Using the AdS/CFT correspondence this allows us to probe aspects of the dual quantum field theory. We focus on the energy loss experienced by these defects as they…

High Energy Physics - Theory · Physics 2015-05-28 Stefan Janiszewski , Andreas Karch

In a recent paper [J. P. M. Pitelli, Phys. Rev. D {\bf 99}, 108701 (2019)], one of us showed that the vacuum state associated to conformal fields on a Poicar\'e patch of anti-de Sitter spacetime is not $\text{AdS}$ invariant for fields…

General Relativity and Quantum Cosmology · Physics 2019-10-02 J. P. M. Pitelli , Vitor S. Barroso

We investigate the anti-de Sitter (AdS) counterpart to the well studied de Sitter (dS) model for energy-momentum space, viz "$\kappa$-momentum space" space (with a structure based on the properties of the $\kappa$-Poincar\'e Hopf algebra).…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Michele Arzano , Giulia Gubitosi , Joao Magueijo , Giovanni Amelino-Camelia

We study the evolution of time-dependent fluctuations and particle production in an expanding dS and contracting AdS universe. Using the functional Schrodinger formalism we are able to probe the time dependent regime which is out of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Eric Greenwood , De-Chang Dai , Dejan Stojkovic

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

In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS_{d+1} are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry R x H_{d-1}.…

High Energy Physics - Theory · Physics 2019-01-16 Maulik Parikh , Prasant Samantray

We explore non-adiabatic particle production in a de Sitter universe for a scalar spectator field, by allowing the effective mass $m^2(t)$ of this field and the cosmic time interval between non-adiabatic events to vary stochastically. Two…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-15 Marcos A. G. Garcia , Mustafa A. Amin , Scott G. Carlsten , Daniel Green
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