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Related papers: Nonequilibrium Quantum Scalar Fields in Cosmology

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We revisit the Hamiltonian formalism for a massive scalar field and study the particle production in a de Sitter space. In the invariant-operator picture the time-dependent annihilation and creation operators are constructed in terms of a…

High Energy Physics - Theory · Physics 2015-06-04 Sang Pyo Kim

We propose a method to construct quantum theory of matter fields in a topology changing universe. Analytic continuation of the semiclassical gravity of a Lorentzian geometry leads to a non-unitary Schr\"{o}dinger equation in a Euclidean…

High Energy Physics - Theory · Physics 2009-10-31 Sang Pyo Kim

As a toy model for the implementation of the diffeomorphism constraint, the interpretation of the resulting states, and the treatment of ordering ambiguities in loop quantum gravity, we consider the Hilbert space of spatially diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hanno Sahlmann

We study non-interacting automorphic quantum scalar fields with positive mass in two-dimensional de Sitter space. We find that there are no Hadamard states which are de Sitter invariant except in the periodic case, extending the result of…

General Relativity and Quantum Cosmology · Physics 2023-01-12 Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco

We will present a method for building a consistent AQFT on Schwarzschild spacetime for a thermal system ruled by an interacting and massive scalar field, extending the methods and the results of K. Fredenhagen and F. Lindner valid for the…

Mathematical Physics · Physics 2016-01-22 Samuel Rutili

We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective…

High Energy Physics - Theory · Physics 2015-05-27 Sang Pyo Kim

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

Electrodynamics for self-interacting scalar fields in spatially flat Friedmann-Robertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gennaro Miele , Luigi Rosa , Pietro Santorelli

Quantum de Sitter geometry is discussed using elementary field operator algebras in Krein space quantization from an observer-independent point of view, {\it i.e.} ambient space formalism. In quantum geometry, the conformal sector of the…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Mohammad Vahid Takook

Scalar-tensor gravitational theories are important extensions of standard general relativity, which can explain both the initial inflationary evolution, as well as the late accelerating expansion of the Universe. In the present paper we…

General Relativity and Quantum Cosmology · Physics 2017-06-28 J. A. Belinchón , T. Harko , M. K. Mak

A free-theory vacuum state of an interacting field theory, e.g. quantum gravity, is unstable at tree level in general due to spontaneous emission of Fock-space particles in any spacetime with no global timelike Killing vectors, such as de…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Atsushi Higuchi

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in the regime of superhorizon momenta, and we…

High Energy Physics - Theory · Physics 2015-12-09 Florian Gautier , Julien Serreau

The Schroedinger picture, which underpins the Wavefunction of the Universe framework to compute Cosmological Correlators, is known to be generically problematic in QFT because of the required infinite localization of the fields in time. We…

High Energy Physics - Theory · Physics 2024-10-04 Bruno Bucciotti

We study the Schwinger pair creation of scalar charged particles by a homogeneous electric field in an expanding universe in the quantum kinetic approach. We introduce an adiabatic vacuum for the scalar field based on the…

High Energy Physics - Phenomenology · Physics 2024-04-03 Anastasia V. Lysenko , Oleksandr O. Sobol

We study some physical aspects of quantum field theory in a two stage universe starting from the inflationary de Sitter and transiting into the radiation dominated stage. We look into the time evolution of the primordial vacuum states,…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Juan R. Salazar , Sujoy K. Modak

We explore the features of gravity in its quantum regime in a mathematically rigorous way by carrying out the classical and quantum formulations of some two-Killing symmetry reductions of general relativity which admit an exact…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel Gómez Vergel

We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant…

High Energy Physics - Theory · Physics 2009-03-20 T. C. de Aguiar , G. Menezes , N. F. Svaiter

We consider Fock's fundamental theory of the hydrogen atom in momentum space which allows a realization of the previously predicted rotation group of a three-dimensional (3D) sphere in four-dimensional (4D) space. We then modify Fock's…

Quantum Physics · Physics 2025-01-03 Sergei P. Efimov

We study the solutions to the Klein-Gordon equation for the massive scalar field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the mass parameter, we impose a suitable set of boundary…

Mathematical Physics · Physics 2023-01-12 Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco