scholarly journals Infrared surprises in the de Sitter universe

2016 ◽  
Vol 25 (09) ◽  
pp. 1641020 ◽  
Author(s):  
Ugo Moschella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Cosmological Constant ◽  
Quantum Field ◽  
De Sitter ◽  
Sitter Universe ◽  
De Sitter Universe

We describe a few unexpected features of de Sitter quantum field theory (QFT) that have no Minkowskian counterparts. These phenomena show that even when the cosmological constant is tiny a Minkowskian way of fast thinking about de Sitter can lead to mistakes and that de Sitter QFT is essentially different from standard relativistic (Minkowskian) QFT.

scholarly journals Quantum field theory in the de sitter universe

1994 ◽  
Vol 73 (13) ◽  
pp. 1746-1749 ◽  
Author(s):  
Jacques Bros ◽  
Jean-Pierre Gazeau ◽  
Ugo Moschella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
De Sitter ◽  
Sitter Universe ◽  
De Sitter Universe

scholarly journals Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime

2019 ◽  
Vol 32 (07) ◽  
pp. 2050018 ◽  
Author(s):  
Anahit Galstian ◽  
Karen Yagdjian
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Equation ◽  
De Sitter Spacetime ◽  
Quantum Field ◽  
De Sitter ◽  
Semilinear Wave Equation ◽  
Sitter Spacetime ◽  
Text Model ◽  
De Sitter Universe

We examine the solutions of the semilinear wave equation, and, in particular, of the [Formula: see text] model of quantum field theory in the curved spacetime. More exactly, for [Formula: see text] we prove that the solution of the massless self-interacting scalar field equation in the Einstein–de Sitter universe has finite lifespan.

scholarly journals QUANTUM FIELD THEORY IN A SYMMETRIC CURVED SPACE FROM A SECOND QUANTIZATION ON A GROUP

2000 ◽  
Vol 15 (25) ◽  
pp. 4011-4044 ◽  
Author(s):  
M. CALIXTO ◽  
V. ALDAYA ◽  
M. NAVARRO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantization Scheme ◽  
Quantum Field ◽  
De Sitter ◽  
Second Quantization ◽  
Global Hyperbolicity ◽  
General Group ◽  
Curved Space ◽  
De Sitter Universe

In this paper we propose a "second quantization" scheme especially suitable for dealing with nontrivial, highly symmetric phase spaces, implemented within a more general group approach to quantization, which recovers the standard quantum field theory (QFT) for ordinary relativistic linear fields. We emphasize, among its main virtues, greater suitability in characterizing vacuum states in a QFT on a highly symmetric curved space–time and the absence of the usual requirement of global hyperbolicity. This can be achieved in the special case of the Anti-de Sitter universe, on which we explicitly construct a QFT.

Quantum field theory in anti-de Sitter space-time

1978 ◽  
Vol 18 (10) ◽  
pp. 3565-3576 ◽  
Author(s):  
S. J. Avis ◽  
C. J. Isham ◽  
D. Storey
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter

scholarly journals Null Wave Front and Ryu–Takayanagi Surface

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1297
Author(s):  
Jun Tsujimura ◽  
Yasusada Nambu
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Cosmological Constant ◽  
Minimal Surface ◽  
Wave Front ◽  
Entanglement Entropy ◽  
Necessary Condition ◽  
Quantum Field ◽  
Wave Fronts ◽  
Sufficient And Necessary Condition

The Ryu–Takayanagi formula provides the entanglement entropy of quantum field theory as an area of the minimal surface (Ryu–Takayanagi surface) in a corresponding gravity theory. There are some attempts to understand the formula as a flow rather than as a surface. In this paper, we consider null rays emitted from the AdS boundary and construct a flow representing the causal holographic information. We present a sufficient and necessary condition that the causal information surface coincides with Ryu–Takayanagi surface. In particular, we show that, in spherical symmetric static spacetimes with a negative cosmological constant, wave fronts of null geodesics from a point on the AdS boundary become extremal surfaces and therefore they can be regarded as the Ryu–Takayanagi surfaces. In addition, from the viewpoint of flow, we propose a wave optical formula to calculate the causal holographic information.

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