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This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Enis Belgacem , Tomislav Prokopec

The energy-momentum vacuum average of a conformally coupled massless scalar field vibrating around a cosmic dislocation (a cosmic string with a dislocation along its axis) is taken as source of the linearized semiclassical Einstein…

General Relativity and Quantum Cosmology · Physics 2013-04-24 V. A. De Lorenci , R. Klippert , E. S. Moreira

We present a systematic treatment of non-Gaussianity in stochastic systems using the Schwinger-Keldysh effective field theory framework, in which the non-Gaussianity is realized as nonlinear terms in the fluctuation field. We establish two…

High Energy Physics - Theory · Physics 2024-02-15 Shu Lin , Yanyan Bu , Chang Lei

We give a short update of our research program on nonequilibrium statistical field theory applied to quantum processes in the early universe and black holes, as well as the development of stochastic gravity theory as an extension of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 B. L. Hu , Albert Roura , Sukanya Sinha , E. Verdaguer

We sketch the semiclassical core of a proof of the so-called Bohigas-Giannoni-Schmit conjecture: A dynamical system with full classical chaos has a quantum energy spectrum with universal fluctuations on the scale of the mean level spacing.…

Chaotic Dynamics · Physics 2007-05-23 Sebastian Müller , Stefan Heusler , Petr Braun , Fritz Haake , Alexander Altland

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the…

Nuclear Theory · Physics 2009-11-13 Sakir Ayik

This article presents numerical work on a special case of the cosmological semiclassical Einstein equation (SCE). The SCE describes the interaction of relativistic quantum matter by the expected value of the renormalized stress-energy…

General Relativity and Quantum Cosmology · Physics 2022-06-17 Hanno Gottschalk , Nicolai Rothe , Daniel Siemssen

For quantum fields on a curved spacetime with an Euclidean section, we derive a general expression for the stress energy tensor two-point function in terms of the effective action. The renormalized two-point function is given in terms of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Nicholas G. Phillips , B. L. Hu

Within the framework of loop quantum cosmology, there exists a semi-classical regime where spacetime may be approximated in terms of a continuous manifold, but where the standard Friedmann equations of classical Einstein gravity receive…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

We consider implications of the microscopic dynamics of spacetime for the evolution of cosmological models. We argue that quantum geometry effects may lead to stochastic fluctuations of the gravitational constant, which is thus considered…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Marco de Cesare , Fedele Lizzi , Mairi Sakellariadou

The possibility that a classical space-time and quantum matter cohabit at the deepest level, i.e. the possibility of having a fundamental and not phenomenological semiclassical gravity, is often disregarded for lack of a good candidate…

Quantum Physics · Physics 2016-02-02 Antoine Tilloy , Lajos Diósi

Using the coherent-state representation we show that the classical Einstein equation for the FRW cosmological model with a general minimal scalar field can be derived from the semiclassical quantum Einstein equation.

General Relativity and Quantum Cosmology · Physics 2019-08-17 Sang Pyo Kim , Jeong-Young Ji , Hak-Soo Shin , Kwang-Sup Soh

We provide a quantum field theoretical derivation of the Abraham-Lorentz-Dirac (ALD) equation, describing the motion of an electric point charge sourcing an electromagnetic field, which back-reacts on the charge as a self-force, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chad R. Galley , B. L. Hu , Shih-Yuin Lin

In many instances, the dynamical richness and complexity observed in natural phenomena can be related to stochastic drives influencing their temporal evolution. For example, random noise allied to spatial asymmetries may induce…

Statistical Mechanics · Physics 2023-10-03 K. S. Fa , C. -L. Ho , Y. B. Matos , M. G. E da Luz

We construct and analyze a class of static spherically symmetric spacetimes in general relativity sourced exclusively by classical electrostatic configurations. Using a spherically symmetric Painlev\'e-Gullstrand-like metric with unit lapse…

General Relativity and Quantum Cosmology · Physics 2025-12-19 G. Abellán , N. Bolívar , I. Vasilev

The influence of quantized electromagnetic fields on a nonrelativistic charged particle moving near a conducting plate is studied. We give a field-theoretic derivation of the nonlinear, non-Markovian Langevin equation of the particle by the…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

Using Schwinger's quantum action principle, dispersion relations are obtained for neutral scalar mesons interacting with bi-local sources. These relations are used as the basis of a method for representing the effect of interactions in the…

High Energy Physics - Theory · Physics 2009-10-28 Mark Burgess

We develop a theory of fluctuations for Brownian systems with weak long-range interactions. For these systems, there exists a critical point separating a homogeneous phase from an inhomogeneous phase. Starting from the stochastic…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and…

High Energy Physics - Theory · Physics 2026-03-11 Lucas Vicente García-Consuegra , Azadeh Maleknejad

Previous years researchers began to simulate open quantum system, taking into account the interaction between system and the environment. One approach to deal with this problem is to use the density matrix within the Liouville-von-Neumann…

Quantum Physics · Physics 2025-09-15 Mohammad Attrash , Roi Baer