Hyperspherical Rindler space, dimensional reduction, and de Sitter-space scalar field theory

1988 ◽  
Vol 37 (6) ◽  
pp. 1443-1455 ◽  
Author(s):  
Ian H. Redmount ◽  
Shin Takagi
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Dimensional Reduction ◽  
De Sitter Space ◽  
De Sitter ◽  
Scalar Field Theory ◽  
Rindler Space

SCALAR FIELD THEORY IN THE AdS/CFT CORRESPONDENCE: AN OPERATOR FORMULATION

2007 ◽  
Vol 22 (30) ◽  
pp. 2287-2295 ◽  
Author(s):  
G. A. KERIMOV
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Fields ◽  
De Sitter Space ◽  
De Sitter ◽  
Point Function ◽  
Scalar Field Theory ◽  
Arbitrary Mass ◽  
Boundary Limit ◽  
Operator Formulation

Starting with a scalar field theory in Euclidean anti-de Sitter space constructed in an earlier paper, we examine the boundary limit of the quantized bulk field. Our AdS/CFT correspondence is generally valid for interacting fields, and is illustrated by a treatment of three-point function for scalar fields of arbitrary mass.

scholarly journals ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT USING THE KINK SOLUTION IN DE SITTER UNIVERSE

2010 ◽  
Vol 25 (35) ◽  
pp. 2955-2971
Author(s):  
F. DARABI ◽  
S. JALALZADEH
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Cosmological Model ◽  
Gravitational Constant ◽  
Invariance Property ◽  
De Sitter ◽  
Scalar Field Theory ◽  
Shape Invariance ◽  
The One ◽  
De Sitter Universe

In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property. Based on this equivalence, we calculate the one-loop quantum cosmological correction to the ground state energy of the kink-like solution in the (closed) de Sitter cosmological model in which the fluctuation potential V′′ has a shape invariance property. It is shown that this type of correction, which yields a renormalized mass in the case of scalar field theory, may be interpreted as a renormalized gravitational constant in the case of (closed) de Sitter cosmological model.

Quantum field theory in de Sitter space: renormalization by point-splitting

1978 ◽  
Vol 360 (1700) ◽  
pp. 117-134 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Stress Tensor ◽  
Dimensional Regularization ◽  
De Sitter Space ◽  
Quantum Field ◽  
De Sitter ◽  
Point Splitting

We examine the modes of a scalar field in de Sitter space and construct quantum two-point functions. These are then used to compute a finite stress tensor by the technique of covariant point-splitting. We propose a renormalization ansatz based on the DeWitt-Schwinger expansion, and show that this removes all am biguities previously present in pointsplitting regularization. The results agree in detail with previous work by dimensional regularization, and give rise to an anomalous trace with the conventional coefficient. We describe how’ our treatment may be extended to more general situations.

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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