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Title: 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:
 [1]
  1. 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}
}