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Related papers: Vacuum Quantum Stress Tensor Fluctuations: A Diago…

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We extend previous work on the numerical diagonalization of quantum stress tensor operators in the Minkowski vacuum state, which considered operators averaged in a finite time interval, to operators averaged in a finite spacetime region.…

High Energy Physics - Theory · Physics 2021-07-07 Peter Wu , L. H. Ford , Enrico D. Schiappacasse

A meaningful probability distribution for measurements of a quantum stress tensor operator can only be obtained if the operator is averaged in time or in spacetime. This averaging can be regarded as a description of the measurement process.…

High Energy Physics - Theory · Physics 2015-11-11 Christopher J. Fewster , L. H. Ford

We extend previous work on quantum stress tensor operators which have been averaged over finite time intervals to include averaging over finite regions of space as well. The space and time averaging can be viewed as describing a measurement…

High Energy Physics - Theory · Physics 2020-01-22 Christopher J. Fewster , L. H. Ford

This is a review of recent work on quantum fluctuations of the electric field and of stress tensor operators and their physical effects. The probability distribution for vacuum fluctuations of the electric field is Gaussian, but that for…

High Energy Physics - Theory · Physics 2022-12-06 L. H. Ford

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…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. H. Ford , Thomas A. Roman

We apply recent results on the probability distribution for quantum stress tensor fluctuations to the problem of barrier penetration by quantum particles. The probability for large stress tensor fluctuations decreases relatively slowly with…

Quantum Physics · Physics 2018-12-10 Haiyun Huang , L. H. Ford

Observing physical effects of large quantum stress tensor fluctuations requires knowledge of the interactions between the probe and the particles of the underlying quantum fields. The quantum stress tensor operators must first be averaged…

High Energy Physics - Theory · Physics 2023-02-21 Peter Wu , L. H. Ford , Enrico D. Schiappacasse

We treat the probability distributions for quadratic quantum fields, averaged with a Lorentzian test function, in four-dimensional Minkowski vacuum. These distributions share some properties with previous results in two-dimensional…

Quantum Physics · Physics 2012-09-06 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

This paper is a continuation of a study of the properties and applications of quantum stress tensor fluctuations. Here we treat the vacuum fluctuations of the electromagnetic energy-momentum flux operator which as been averaged in space and…

High Energy Physics - Theory · Physics 2024-12-05 L. H. Ford

The vacuum state -- or any other state of finite energy -- is not an eigenstate of any smeared (averaged) local quantum field. The outcomes (spectral values) of repeated measurements of that averaged local quantum field are therefore…

Mathematical Physics · Physics 2018-09-26 Christopher J. Fewster , Stefan Hollands

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…

General Relativity and Quantum Cosmology · Physics 2013-05-17 Jason D. Bates

The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value,…

General Relativity and Quantum Cosmology · Physics 2014-09-29 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

The quantum fluctuation of the stress tensor of a quantum field are discussed, as are the resulting spacetime metric fluctuations. Passive quantum gravity is an approximation in which gravity is not directly quantized, but fluctuations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. H. Ford , Chun-Hsien Wu

We study a model for quantum lightcone fluctuations in which vacuum fluctuations of the electric field and of the squared electric field in a nonlinear dielectric material produce variations in the flight times of probe pulses. When this…

General Relativity and Quantum Cosmology · Physics 2016-04-06 C. H. G. Bessa , V. A. De Lorenci , L. H. Ford , C. C. H. Ribeiro

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

Recent work has shown that the stress tensor components, such as energy density or pressure, of a quantum field can be subject to large vacuum fluctuations. The energy density or pressure must be averaged in time before the fluctuations can…

Quantum Physics · Physics 2021-07-21 L. H. Ford

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…

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

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer

The probability distribution for vacuum fluctuations of the energy flux in two dimensions will be constructed, along with the joint distribution of energy flux and energy density. Our approach will be based on previous work on probability…

High Energy Physics - Theory · Physics 2025-04-11 Christopher J. Fewster , L. H. Ford

We calculate the vacuum fluctuation of the stress tensor of a higher-derivative theory around a thin cosmic string. To this end, we adopt the method to obtain the stress tensor from the effective action developed by Gibbons et al. By their…

High Energy Physics - Theory · Physics 2021-08-16 Nahomi Kan , Masashi Kuniyasu , Kiyoshi Shiraishi
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