scholarly journals Arbitrary spin massless bosonic fields in d-dimensional anti-de sitter space

2008 ◽  
pp. 331-340 ◽  
Author(s):  
R. R. Metsaev
Keyword(s):  
De Sitter Space ◽  
Arbitrary Spin ◽  
De Sitter

scholarly journals MASSIVE SPINNING PARTICLE ON ANTI-DE SITTER SPACE

1996 ◽  
Vol 11 (18) ◽  
pp. 3307-3329 ◽  
Author(s):  
S.M. KUZENKO ◽  
S.L. LYAKHOVICH ◽  
A. YU. SEGAL ◽  
A.A. SHARAPOV
Keyword(s):  
Configuration Space ◽  
Degrees Of Freedom ◽  
Massive Particle ◽  
De Sitter Space ◽  
Arbitrary Spin ◽  
Point Particle ◽  
Particle Model ◽  
De Sitter ◽  
Spinning Particle ◽  
Classical Counterpart

To describe a massive particle with fixed, but arbitrary, spin on d=4 anti-de Sitter space M4, we propose the point particle model with configuration space ℳ6=M4×S2, where the sphere S2 corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase space counterparts of the second and fourth order Casimir operators for so (3, 2). We prove that the requirement of energy to have a global positive minimum Eo over the configuration space is equivalent to the relation Eo>s, s being the particle’s spin, which presents the classical counterpart of the quantum massive condition. States with minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on d-dimensional anti-de Sitter space Md, with ℳ2(d−1)=Md×S(d−2) the corresponding configuration space.

FREE MASSLESS BOSONIC FIELDS OF ARBITRARY SPIN IN D-DIMENSIONAL DE SITTER SPACE

1988 ◽  
Vol 03 (03) ◽  
pp. 257-270 ◽  
Author(s):  
V.E. LOPATIN ◽  
M.A. VASILIEV
Keyword(s):  
Gravitational Interaction ◽  
Differential Forms ◽  
Compact Subgroup ◽  
De Sitter Space ◽  
Arbitrary Spin ◽  
Dimensional Case ◽  
De Sitter ◽  
Starting Point ◽  
Higher Spin ◽  
Spin Fields

Free massless bosonic fields of arbitrary spins s>1, corresponding to symmetric representations of SO(d−2) compact subgroup of the d-dimensional massless flat little group, are described in d-dimensional (anti-) de Sitter space in terms of differential forms. The formulation proposed is a generalization to arbitrary d≥4 of that suggested previously in the four dimensional case, which served in Refs. 1 and 2 as a starting point for introducing consistent gravitational interaction for all massless higher spin fields in d=4.

scholarly journals Gravitational turbulent instability of anti-de Sitter space

2012 ◽  
Vol 29 (19) ◽  
pp. 194002 ◽  
Author(s):  
Óscar J C Dias ◽  
Gary T Horowitz ◽  
Jorge E Santos
Keyword(s):  
De Sitter Space ◽  
De Sitter

scholarly journals Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Scalar Field ◽  
Density Matrix ◽  
Master Equation ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Thermal Bath ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Open Quantum ◽  
Non Locality

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

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