Time-ordered Exponential on the Complex Plane and Gell-Mann—Low Formula As a Mathematical Theorem
Journal of mathematical physics(2016)
摘要
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.
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