# Thermal four-point functions with analytic extensions

## Abstract

The possible analytic extensions of Matsubara thermal n-point functions from discrete, imaginary energies to more general complex energies are investigated. It is known that for n{>=}4 most of the analytic extensions cannot be expressed as linear combinations of the usual 2{sup n} different real-time n-point functions. For the case n=4 the explicit products of real-time field operators are found whose Fourier transforms can be extended analytically to certain domains of complex energy.

- Authors:

- Department of Physics, West Virginia University, Morgantown, West Virginia 26506-6315 (United States)

- Publication Date:

- OSTI Identifier:
- 20713883

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.096005; (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; CALCULATION METHODS; FIELD OPERATORS; FOURIER TRANSFORMATION; FUNCTIONS; QUANTUM FIELD THEORY

### Citation Formats

```
Weldon, H. Arthur.
```*Thermal four-point functions with analytic extensions*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.096005.

```
Weldon, H. Arthur.
```*Thermal four-point functions with analytic extensions*. United States. doi:10.1103/PhysRevD.72.096005.

```
Weldon, H. Arthur. Tue .
"Thermal four-point functions with analytic extensions". United States.
doi:10.1103/PhysRevD.72.096005.
```

```
@article{osti_20713883,
```

title = {Thermal four-point functions with analytic extensions},

author = {Weldon, H. Arthur},

abstractNote = {The possible analytic extensions of Matsubara thermal n-point functions from discrete, imaginary energies to more general complex energies are investigated. It is known that for n{>=}4 most of the analytic extensions cannot be expressed as linear combinations of the usual 2{sup n} different real-time n-point functions. For the case n=4 the explicit products of real-time field operators are found whose Fourier transforms can be extended analytically to certain domains of complex energy.},

doi = {10.1103/PhysRevD.72.096005},

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

number = 9,

volume = 72,

place = {United States},

year = {Tue Nov 01 00:00:00 EST 2005},

month = {Tue Nov 01 00:00:00 EST 2005}

}

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