Time-ordered exponential on the complex plane and Gell-Mann-Low formula as a mathematical theorem (Q2804970)
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scientific article; zbMATH DE number 6578038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Time-ordered exponential on the complex plane and Gell-Mann-Low formula as a mathematical theorem |
scientific article; zbMATH DE number 6578038 |
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9 May 2016
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quantum electrodynamics with cutoffs
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Gell-Mann-Low formula
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Time-ordered exponential on the complex plane and Gell-Mann-Low formula as a mathematical theorem (English)
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This articles is concerned with a system of quantum electrodynamics with cutoffs. In quantum field theory, the interactions of charged particles and photons are described by quantum electrodynamics. The authors investigate the time-ordered exponential representation of a complex time evolution operator in the interaction picture. Using the complex time evolution, they prove that the Gell-Mann-Low formula under certain abstract conditions, in mathematically rigorous manner. Then, they apply the results found to quantum electrodynamics with cutoffs.
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