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We present calculations of the variance of fluctuations and of the mean of the energy momentum tensor of a massless scalar field for the Minkowski and Casimir vacua as a function of an intrinsic scale defined by a smeared field or by point…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Nicholas. G. Phillips , B. L. Hu

In the semiclassical quantum gravity derived from the Wheeler-DeWitt equation, the energy density of a matter field loses quantum coherence due to the induced gauge potential from the parametric interaction with gravity in a non-static…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sang Pyo Kim , Kwang-Sup Soh

We discuss the limits of validity of the semiclassical theory of gravity in which a classical metric is coupled to the expectation value of the stress tensor. It is argued that this theory is a good approximation only when the fluctuations…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Chung-I Kuo , L. H. Ford

A quantitative test for the validity of the semi-classical approximation in gravity is given. The criterion proposed is that solutions to the semi-classical Einstein equations should be stable to linearized perturbations, in the sense that…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Rosario Martin , Enric Verdaguer

A correspondence between fluctuations of conformally invariant quantum fields and that of classical fields finally reducing to perfect fluid matter content is shown to exist. Previously a similar correspondence between the stress tensors…

广义相对论与量子宇宙学 · 物理学 2019-08-21 Seema Satin

This paper presents a new, non-Gaussian formulation of stochastic gravity by incorporating the higher moments of the fluctuations of the quantum stress energy tensor for a free quantum scalar field in a consistent way. A scheme is developed…

广义相对论与量子宇宙学 · 物理学 2013-05-17 Jason D. Bates

The semiclassical gravity describes gravitational back-reactions of the classical spacetime interacting with quantum matter fields but the quantum effects on the background is formally defined as higher derivative curvatures. These induce…

广义相对论与量子宇宙学 · 物理学 2020-02-06 Hiroki Matsui , Naoki Watamura

We study a noninteracting supersymmetric model in an expanding FRW spacetime. A soft supersymmetry breaking induces a nonzero contribution to the vacuum energy density. A short distance cutoff of the order of Planck length provides a scale…

高能物理 - 理论 · 物理学 2011-05-13 Neven Bilic

A consistency condition of general relativity as an effective field theory in Minkowskian background uniquely fixes the value of the cosmological constant. In two-loop calculations, including the interaction of gravitons with matter fields,…

高能物理 - 理论 · 物理学 2024-05-16 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , L. Neuhaus

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…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Nicholas G. Phillips , B. L. Hu

The positive energy theorem precludes the possibility of Minkowski flat space decaying by any mechanism. In certain circumstances, however, large quantum fluctuations of the gravitational field could arise---not only at the Planck scale,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. Modanese

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein- Langevin…

广义相对论与量子宇宙学 · 物理学 2007-05-23 B. L. Hu , E. Verdaguer

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 L. H. Ford , Thomas A. Roman

The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Weihu Ma , Yu-Gang Ma

It is shown that the curvature of space-time induced by vacuum fluctuations of quantum fields should be proportional to the square of Newton's constant $G$. This offers a possible explanation for the success of the approximation $G m^6 c^2…

广义相对论与量子宇宙学 · 物理学 2021-06-16 Emilio Santos

The universality of semiclassical gravity is investigated by considering the behavior of the quantities < \phi^2 > and < {T^a}_b >, along with quantum corrections to the effective Newtonian potential in the far field limits of static…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Paul R. Anderson , A. Fabbri

Quantum field theory in a semiclassical background can be derived as an approximation to quantum gravity from a weak-coupling expansion in the inverse Planck mass. Such an expansion is studied for evolution on "nice-slices" in the spacetime…

高能物理 - 理论 · 物理学 2008-11-26 Steven B. Giddings

The quantum to classical transition of fluctuations in the early universe is still not completely understood. Some headway has been made incorporating the effects of decoherence and the squeezing of states, though the methods and procedures…

广义相对论与量子宇宙学 · 物理学 2021-05-24 Fulvio Melia

We study fluctuations of the metric in the postquantum theory of classical gravity, a covariant theory which couples a classical spacetime with quantum matter fields. Mathematical consistency requires spacetime to evolve stochastically.…

高能物理 - 理论 · 物理学 2026-05-08 Jonathan Oppenheim , Muhammad Sajjad
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