scholarly journals Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Diana López Nacir ◽  
Francisco D. Mazzitelli ◽  
Leonardo G. Trombetta
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Long Distance ◽  
Distance Behavior ◽  
Secular Terms

scholarly journals Large-distance behavior of the massless vector two-point function in de Sitter spacetime

2018 ◽  
Vol 27 (11) ◽  
pp. 1843005 ◽  
Author(s):  
Nicola Rendell
Keyword(s):  
Landau Gauge ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Massless Limit ◽  
Point Function ◽  
Long Distance ◽  
Sitter Spacetime ◽  
Invariant Distance ◽  
Gauge Fixing ◽  
Distance Behavior

We study the long-distance behavior of the massless vector propagator in [Formula: see text]-dimensional de Sitter spacetime, where [Formula: see text]. Specifically, we consider the massless limit of the vector propagator in the Stueckelberg theory, which is an extension of Proca theory, with an additional gauge-fixing term. We work to leading order in the de Sitter-invariant distance [Formula: see text] to show that, in the large [Formula: see text] limit, this propagator tends to a gauge-dependent constant, where the gauge worked in is described by the Stueckelberg parameter [Formula: see text]. In the Landau gauge, where [Formula: see text], this constant is found to be 0. This result is in agreement with the four-dimensional case discussed by Youssef.

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.

scholarly journals Probing Planckian physics in de Sitter space with quantum correlations

2014 ◽  
Vol 351 ◽  
pp. 872-899 ◽  
Author(s):  
Jun Feng ◽  
Yao-Zhong Zhang ◽  
Mark D. Gould ◽  
Heng Fan ◽  
Cheng-Yi Sun ◽  
...  
Keyword(s):  
De Sitter Space ◽  
Quantum Correlations ◽  
De Sitter

Static, self-dual, finite action SU(3) gauge fields in the de sitter space

1980 ◽  
Vol 96 (1-2) ◽  
pp. 105-109 ◽  
Author(s):  
A. Chakrabarti ◽  
A. Comtet ◽  
K.S. Viswanathan
Keyword(s):  
De Sitter Space ◽  
Gauge Fields ◽  
De Sitter ◽  
Finite Action

Wave Equations in the de Sitter Space

1949 ◽  
Vol 76 (2) ◽  
pp. 296-297 ◽  
Author(s):  
Satosi Watanabe
Keyword(s):  
Wave Equations ◽  
De Sitter Space ◽  
De Sitter
Sign in / Sign up

Export Citation Format

Share Document