Time-ordered exponential on the complex plane and Gell-Mann—Low formula as a mathematical theorem
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Hokkaido University, Sapporo, 060-0818 (Japan)
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.
- OSTI ID:
- 22597056
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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