Another proof of Gell-Mann and Low's theorem
Luca Guido Molinari
TL;DR
This paper provides an alternative proof of Gell-Mann and Low's theorem in quantum field theory, utilizing exact identities for the time-propagator instead of Dyson's expansion.
Contribution
It introduces a new proof method for Gell-Mann and Low's theorem based on exact identities, offering a different perspective from the traditional Dyson expansion.
Findings
New proof based on exact identities for the time-propagator
Simplifies understanding of Gell-Mann and Low's theorem
Potentially broadens applicability in QFT and many-body theory
Abstract
The theorem by Gell-Mann and Low is a cornerstone in QFT 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.
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