# Another proof of Gell-Mann and Low's theorem

## Abstract

The theorem by Gell-Mann and Low is a cornerstone in quantum field theory and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time propagator is here given.

- Authors:

- Dipartimento di Fisica, Universita degli Studi di Milano, INFN, Sezione di Milano, Via Celoria 16, 20133 Milan (Italy) and European Theoretical Spectroscopy Facility (ETSF), 20133 Milan (Italy)

- Publication Date:

- OSTI Identifier:
- 20929705

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2740469; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; MANY-BODY PROBLEM; PROPAGATOR; QUANTUM FIELD THEORY; QUANTUM MECHANICS

### Citation Formats

```
Molinari, Luca Guido.
```*Another proof of Gell-Mann and Low's theorem*. United States: N. p., 2007.
Web. doi:10.1063/1.2740469.

```
Molinari, Luca Guido.
```*Another proof of Gell-Mann and Low's theorem*. United States. doi:10.1063/1.2740469.

```
Molinari, Luca Guido. Tue .
"Another proof of Gell-Mann and Low's theorem". United States.
doi:10.1063/1.2740469.
```

```
@article{osti_20929705,
```

title = {Another proof of Gell-Mann and Low's theorem},

author = {Molinari, Luca Guido},

abstractNote = {The theorem by Gell-Mann and Low is a cornerstone in quantum field theory and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time propagator is here given.},

doi = {10.1063/1.2740469},

journal = {Journal of Mathematical Physics},

number = 5,

volume = 48,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2740469

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