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The calculation of the Bogoliubov coefficients is a key piece to obtain the reheating temperature of the Universe. In all cases this calculation is performed either in toy models where some derivative of the potential is discontinuous at…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Jaume de Haro , Llibert Aresté Saló

We introduce a scalar-type perturbation variable $\Phi$ which is conserved in the large-scale limit considering general sign of three-space curvature ($K$), the cosmological constant ($\Lambda$), and time varying equation of state. In a…

Astrophysics · Physics 2009-10-31 J. Hwang

We consider the quantum dynamics of a massless scalar field in de Sitter space-time. The classical evolution is represented by a canonical transformation on the phase space for the field theory. By studying the corresponding Bogoliubov…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Gómez Vergel , Eduardo J. S. Villaseñor

We propose in this paper a quantization scheme for real Klein-Gordon field in de Sitter spacetime. Our scheme is generally covariant with the help of vierbein, which is necessary usually for spinor field in curved spacetime. We first…

High Energy Physics - Theory · Physics 2023-09-06 Sze-Shiang Feng

We study a free scalar field $\phi$ in a fixed curved background spacetime subject to a higher derivative field equation of the form $F(\Box)\phi =0$, where $F$ is a polynomial of the form $F(\Box)= \prod_i (\Box-m_i^2)$ and all masses…

High Energy Physics - Theory · Physics 2019-11-20 G. W. Gibbons , C. N. Pope , Sergey Solodukhin

Investigating the dynamics of gravitational systems, especially in the regime of quantum gravity, poses a problem of measuring time during the evolution. One of the approaches to this issue is using one of the internal degrees of freedom as…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Anna Nakonieczna , Dong-han Yeom

We discuss the problem of the quantization and dynamic evolution of a scalar free field in the interior of a Schwarzschild black hole. A unitary approach to the dynamics of the quantized field is proposed: a time-dependent Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Pawel Gusin , Andrzej Radosz , Andy T. Augousti , Janos Polonyi , Oleg B. Zaslavskii , Romuald J. 'Sciborski

In this paper, we adopt the method of quantum fields in curved spacetime to quantize a free scalar matter field in the braneworld background whose warped factor is of the form that could generate P\"{o}schl-Teller potential. Then we…

High Energy Physics - Theory · Physics 2022-04-22 Jian Wang , Yu-Xiao Liu

Creation of scalar massless particles in two-dimensional Minkowski space-time--as predicted by the dynamical Casimir effect--is studied for the case of a semitransparent mirror initially at rest, then accelerating for some finite time,…

Quantum Physics · Physics 2008-11-26 Jaume Haro , Emilio Elizalde

A quantum field has been coupled to a space-time with accelerating expansion. Dynamical modes are destabilised successively at shorter material wavelengths as they metamorphose from oscillators to repellers. Due to degeneracy of energy…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Philip Broadbridge , Sarah Becirevic , David Hoxley

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Faizuddin Ahmed , A. F. Santos

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

Astrophysics · Physics 2009-10-31 J. Hwang , H. Noh

We present a realistic scenario of tracking of scalar fields with varying equation of state. The astrophysical constraints on the evolution of scalar fields in the physical universe are discussed. The nucleosynthesis and the galaxy…

Astrophysics · Physics 2011-07-19 Vinod B. Johri

Defining the observable ${\bf \phi}$ canonically conjugate to the number observable ${\bf N}$ has long been an open problem in quantum theory. Here we show how to define the absolute phase observable ${\bf \Phi}\equiv |{\bf\phi}|$ by…

Quantum Physics · Physics 2007-05-23 Gilad Gour

We consider the time evolution of systems in which a spatially homogeneous scalar field is coupled to fermions. The quantum back-reaction is taken into account in one-loop approximation. We set up the basic equations and their…

High Energy Physics - Phenomenology · Physics 2016-09-06 Juergen Baacke , Katrin Heitmann , Carsten Patzold

Understanding the nature of dark energy and dark matter is one of modern physics' greatest open problems. Scalar-tensor theories with screened scalar fields like the chameleon model are among the most popular proposed solutions. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Ana Lucía Báez-Camargo , Daniel Hartley , Christian Käding , Ivette Fuentes-Guridi

In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantise a massive scalar field we show that a discrete energy spectrum shift…

High Energy Physics - Theory · Physics 2009-10-28 D. J. Lamb , A. Z. Capri , M. Kobayashi

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dynamics, i.e. the Euler-Lagrange equations, play the role of first-class constraints. This allows us to apply standard methods from the…

High Energy Physics - Theory · Physics 2007-05-23 T. A. Larsson

We study the behavior of a massless, quantized, scalar field on a two-dimensional cylinder spacetime as it responds to the time-dependent evolution of a Mamev-Trunov potential of the form $V(x,t) = 2 \xi \delta(x) \theta(-t)$. We begin by…

Mathematical Physics · Physics 2018-09-12 Michael J. Pfenning