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Time-ordered exponential on the complex plane and Gell-Mann -- Low formula as a mathematical theorem (1407.1690v1)
Published 7 Jul 2014 in math.FA, hep-th, math-ph, and 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.
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