# Minkowski vacuum stress tensor fluctuations

## Abstract

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 derivatives of a scalar function. These expressions allow one to express spacetime averages of the correlation function as finite integrals. We also study the correlation between measurements of the energy density along a world line. We find that these measurements may be either positively correlated or anticorrelated. The anticorrelated measurements can be interpreted as telling us that, if one measurement yields one sign for the averaged energy density, a successive measurement with a suitable time delay is likely to yield a result with the opposite sign.

- Authors:

- Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, Massachusetts 02155 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20711589

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.105010; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRELATION FUNCTIONS; CORRELATIONS; ENERGY DENSITY; FLUCTUATIONS; MINKOWSKI SPACE; QUANTUM FIELD THEORY; SCALAR FIELDS; SCALARS; SPACE-TIME; STRESSES; TENSORS; TIME DELAY; VACUUM STATES

### Citation Formats

```
Ford, L.H., Roman, Thomas A., and Department of Mathematical Sciences, Central Connecticut State University, New Britain, Connecticut 06050.
```*Minkowski vacuum stress tensor fluctuations*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.105010.

```
Ford, L.H., Roman, Thomas A., & Department of Mathematical Sciences, Central Connecticut State University, New Britain, Connecticut 06050.
```*Minkowski vacuum stress tensor fluctuations*. United States. doi:10.1103/PhysRevD.72.105010.

```
Ford, L.H., Roman, Thomas A., and Department of Mathematical Sciences, Central Connecticut State University, New Britain, Connecticut 06050. Tue .
"Minkowski vacuum stress tensor fluctuations". United States.
doi:10.1103/PhysRevD.72.105010.
```

```
@article{osti_20711589,
```

title = {Minkowski vacuum stress tensor fluctuations},

author = {Ford, L.H. and Roman, Thomas A. and Department of Mathematical Sciences, Central Connecticut State University, New Britain, Connecticut 06050},

abstractNote = {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 derivatives of a scalar function. These expressions allow one to express spacetime averages of the correlation function as finite integrals. We also study the correlation between measurements of the energy density along a world line. We find that these measurements may be either positively correlated or anticorrelated. The anticorrelated measurements can be interpreted as telling us that, if one measurement yields one sign for the averaged energy density, a successive measurement with a suitable time delay is likely to yield a result with the opposite sign.},

doi = {10.1103/PhysRevD.72.105010},

journal = {Physical Review. D, Particles Fields},

number = 10,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}