Massive fermion particle production in de Sitter universe: Ambient space approach

2014 ◽  
Vol 29 (10) ◽  
pp. 1450051 ◽  
Author(s):  
Sepideh Mirabi
Keyword(s):  
Particle Production ◽  
Particle Creation ◽  
Flat Space ◽  
Ambient Space ◽  
Quantum Field ◽  
De Sitter ◽  
Spin Particle ◽  
Massive Spin ◽  
De Sitter Universe ◽  
Space Approach

In this paper, we study the massive spin-½ particle creation in de Sitter (dS) space where the related fields are written in (4+1)-dimensional bulk or the so-called ambient space approach. This approach mimics the flat space quantum field theory (QFT) and the field operators are defined globally on dS space. The main purpose of this study is defining the |in〉 and |out〉 modes for the proposed quantum field which has been written in terms of the dS plane wave in the 4+1 dimensions. We compute, via the Bogoliubov coefficients, the rate of particle creation in dS universe.

scholarly journals Every timelike geodesic in Anti-de Sitter spacetime is a circle of the same radius

2016 ◽  
Vol 25 (01) ◽  
pp. 1650007 ◽  
Author(s):  
Leszek M. Sokołowski ◽  
Zdzisław A. Golda
Keyword(s):  
Flat Space ◽  
De Sitter Space ◽  
Ambient Space ◽  
Alternative Proof ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Timelike Geodesic ◽  
Sitter Spacetime

In this paper, we refine and analytically prove an old proposition due to Calabi and Markus on the shape of timelike geodesics of anti-de Sitter space in the ambient flat space. We prove that each timelike geodesic forms in the ambient space a circle of the radius determined by [Formula: see text], lying on a Euclidean two-plane. Then, we outline an alternative proof for [Formula: see text]. We also make a comment on the shape of timelike geodesics in de Sitter space.

Massive spin-half particle in the de Sitter universe

1982 ◽  
Vol 138 (2) ◽  
pp. 260-274 ◽  
Author(s):  
U Khanal ◽  
N Panchapakesan
Keyword(s):  
De Sitter ◽  
Sitter Universe ◽  
Massive Spin ◽  
De Sitter Universe

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

Background mode selection during asymptotic-de Sitter inflation

2021 ◽  
Vol 36 (13) ◽  
pp. 2150094
Author(s):  
A. R. Ziyaee ◽  
M. Mohsenzadeh ◽  
E. Yusofi
Keyword(s):  
Mode Selection ◽  
Particle Creation ◽  
Flat Space ◽  
De Sitter ◽  
Flat Background ◽  
Number Problem ◽  
Minimum Number ◽  
Background Mode ◽  
First Time ◽  
Number Of Particles

For the first time, we choose non-flat vacuum mode for background spacetime based on the minimum number of created particles during early non-de Sitter inflation. In conventional methods for calculating the number of created particles, the flat background is selected automatically and causes a negative number problem for created particles during asymptotic-de Sitter inflation. In a covariant approach to curved spacetime, both real and background spacetimes should be selected, curved and consequently the relation for particle creation should be modify. As an interesting finding from this research, flat space does not include minimum number of particles and there are some asymptotic de Sitter spacetimes with fewer number. Therefore, in the generalized formula for particle creation, we choose a non-flat background containing the minimum number of created particles.

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 RELATIVISTIC QUANTUM INFORMATION PROCESSING WITH BOSONIC AND FERMIONIC INTERFEROMETERS

2006 ◽  
Vol 04 (01) ◽  
pp. 119-130 ◽  
Author(s):  
PIETER KOK ◽  
SAMUEL L. BRAUNSTEIN
Keyword(s):  
Quantum Information Processing ◽  
Relativistic Quantum ◽  
Particle Creation ◽  
Quantum Field ◽  
Coordinate Transformations ◽  
Inertial Motion ◽  
Relativistic Transformation ◽  
Massive Spin ◽  
Mathematical Techniques ◽  
Unified Description

We derive the relativistic transformation laws for the annihilation operators of the scalar field, the massive spin-1 vector field, the electromagnetic field and the spinor field. The technique developed here involves straightforward mathematical techniques based on fundamental quantum field theory, and is applicable to the study of entanglement in arbitrary coordinate transformations. In particular, it predicts particle creation for non-inertial motion. Furthermore, we present a unified description of relativistic transformations and multi-particle interferometry with bosons and fermions, which encompasses linear optical quantum computing.

scholarly journals Particle creation in global de Sitter space: Bulk space consideration

2015 ◽  
Vol 24 (07) ◽  
pp. 1550052 ◽  
Author(s):  
M. Reza Tanhayi
Keyword(s):  
Plane Wave ◽  
Massive Particle ◽  
Particle Creation ◽  
Flat Space ◽  
De Sitter Space ◽  
Point Of View ◽  
Theoretical Point ◽  
De Sitter ◽  
Field Equations ◽  
Higher Spin

Recently in [P. R. Anderson and E. Mottola, Phys. Rev. D 89 (2014) 104039, arXiv:1310.1963 [gr-qc] and P. R. Anderson and E. Mottola, Phys. Rev. D 89 (2014) 104038, arXiv:1310.0030 [gr-qc].], it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper, we study the instability by making use of the coordinate-independent plane wave in de Sitter space. Within this formalism, we show that the previous results of instability of de Sitter space due to the particle creation can be generalized to higher-spin fields in a straightforward way. The so-called plane wave is defined globally in de Sitter space and de Sitter invariance is manifest since such modes are deduced from the group theoretical point of view by means of the Casimir operators. In fact, we employ the symmetry of embedding space namely the 4 + 1-dimensional flat space to write the field equations and the solutions can be obtained in terms of the plane wave in embedding space.

scholarly journals Interaction between Maxwell field and charged scalar field in de Sitter universe

2015 ◽  
Vol 30 (16) ◽  
pp. 1550088 ◽  
Author(s):  
Cosmin Crucean ◽  
Mihaela-Andreea Băloi
Keyword(s):  
Scalar Field ◽  
Particle Production ◽  
Perturbation Expansion ◽  
Maxwell Field ◽  
De Sitter ◽  
Charged Scalar ◽  
Gravitational Fields ◽  
Sitter Background ◽  
Charged Scalar Field ◽  
De Sitter Universe

We study the theory of interaction between charged scalar field and Maxwell field in de Sitter background. Solving the equation of interacting fields, we define the in–out fields as asymptotic free fields and construct the reduction formalism for scalar field. Then we derive the perturbation expansion of the scattering operator. The first-order transition amplitudes corresponding to particle production from de Sitter vacuum and pair production in an external field are analyzed. We show that all these effects are important only in strong gravitational fields and vanish in the flat limit.

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