Time-ordered exponential on the complex plane and Gell-Mann -- Low formula as a mathematical theorem
Functional Analysis
2014-07-08 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The time-ordered exponential representation of a complex time evolution operator in the interaction picture is studied. Using the complex time evolution, we prove the Gell-Mann -- Low formula under certain abstract conditions, in mathematically rigorous manner. We apply the abstract results to quantum electrodynamics with cutoffs.
Cite
@article{arxiv.1407.1690,
title = {Time-ordered exponential on the complex plane and Gell-Mann -- Low formula as a mathematical theorem},
author = {Shinichiro Futakuchi and Kouta Usui},
journal= {arXiv preprint arXiv:1407.1690},
year = {2014}
}
Comments
30 pages