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 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 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 Topological surprises in de Sitter QFT in two-dimensions

2018 ◽  
Vol 33 (34) ◽  
pp. 1845009 ◽  
Author(s):  
Henri Epstein ◽  
Ugo Moschella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Thermal State ◽  
Two Dimensions ◽  
Quantum Field ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
New Type ◽  
Two Universes

Motivated by the study of soluble models of quantum field theory, we illustrate a new type of topological effect by comparing the constructions of canonical Klein–Gordon quantum fields on the two-dimensional de Sitter spacetime as opposed to its double covering. We show that while the commutators of the two fields coincide locally, the global topological differences make the theories drastically different. Many of the well-known features of de Sitter quantum field theory disappear. In particular, there is nothing like a Bunch–Davies vacuum. Correspondingly, even though the local horizon structure is the same for the two universes, there is no Hawking–Gibbons thermal state. Finally, there is no complementary series of fields.

scholarly journals A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Makram Hamouda ◽  
Mohamed Ali Hamza ◽  
Alessandro Palmieri
Keyword(s):  
Wave Equation ◽  
Blow Up ◽  
Integral Transform ◽  
Global Solutions ◽  
Representation Formula ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Semilinear Wave Equation ◽  
Sitter Spacetime ◽  
Derivative Type

<p style='text-indent:20px;'>In this paper, we establish blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based on the integral representation formula for the solution to the corresponding linear problem in the one-dimensional case, that we will determine through Yagdjian's Integral Transform approach. As upper bound for the exponent of the nonlinear term, we discover a Glassey-type exponent which depends both on the space dimension and on the Lorentzian metric in the generalized Einstein-de Sitter spacetime.</p>

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.

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