# Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator

## Abstract

Having in mind applications to gravitational wave theory (in connection with the radiation reaction problem), stochastic semiclassical gravity (in connection with the regularization of the noise kernel) and quantum field theory in higher-dimensional curved spacetime (in connection with the Hadamard regularization of the stress-energy tensor), we improve the DeWitt-Schwinger and Hadamard representations of the Feynman propagator of a massive scalar field theory defined on an arbitrary gravitational background by deriving higher-order terms for the covariant Taylor series expansions of the geometrical coefficients--i.e., the DeWitt and Hadamard coefficients--that define them.

- Authors:

- UMR CNRS 6134 SPE, Equipe Physique Semi-Classique (Ethiopia) de la Matiere Condensee, Universite de Corse, Faculte des Sciences, BP 52, 20250 Corte (France)

- Publication Date:

- OSTI Identifier:
- 20776765

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044027; (c) 2006 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; FEYNMAN DIAGRAM; GRAVITATION; GRAVITATIONAL WAVES; KERNELS; PROPAGATOR; QUANTUM FIELD THEORY; SCALAR FIELDS; SEMICLASSICAL APPROXIMATION; SERIES EXPANSION; SPACE-TIME; STRESSES; TENSORS

### Citation Formats

```
Decanini, Yves, and Folacci, Antoine.
```*Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.044027.

```
Decanini, Yves, & Folacci, Antoine.
```*Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator*. United States. doi:10.1103/PhysRevD.73.044027.

```
Decanini, Yves, and Folacci, Antoine. Wed .
"Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator". United States.
doi:10.1103/PhysRevD.73.044027.
```

```
@article{osti_20776765,
```

title = {Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator},

author = {Decanini, Yves and Folacci, Antoine},

abstractNote = {Having in mind applications to gravitational wave theory (in connection with the radiation reaction problem), stochastic semiclassical gravity (in connection with the regularization of the noise kernel) and quantum field theory in higher-dimensional curved spacetime (in connection with the Hadamard regularization of the stress-energy tensor), we improve the DeWitt-Schwinger and Hadamard representations of the Feynman propagator of a massive scalar field theory defined on an arbitrary gravitational background by deriving higher-order terms for the covariant Taylor series expansions of the geometrical coefficients--i.e., the DeWitt and Hadamard coefficients--that define them.},

doi = {10.1103/PhysRevD.73.044027},

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

number = 4,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}

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