The infinite coupling limit and the asymptotics of coefficients of the perturbation expansion |
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Authors: | O. V. Tarasov |
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Affiliation: | (1) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, 101000 Moscow, USSR |
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Abstract: | For some functions in quantum field theory and quantum mechanics, presented by the asymptotic expansion in coupling constant g, the method for finding the approximate asymptotics when g is proposed.Such an estimation requires the first exact terms of the perturbation theory, their high-order asymptotics and supposition on the Borel summability. This method for the Gell-Mann-Low function (g) in the (42/3)g(4)4 model gives approximately (g) 1.8 g2. |
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