Theorems on estimating perturbative coefficients in quantum field theory and statistical physics |
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| Authors: | Mark A Samuel Stephen D Druger |
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| Institution: | (1) Department of Physics, Oklahoma State University, Stillwater, Oklahoma;(2) Stanford Linear Accelerator Center, Stanford University, Stanford, California;(3) Department of Physics and Astronomy, Northwestern University, 60208-3112 Evanston, Illinois |
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| Abstract: | We present rigorous proofs for several theorems on using Padé approximants to estimate coefficients in perturbative quantum field theory and statistical physics. As a result, we find new trigonometric and other identities where the estimates based on this approach are exact. We discuss hypergeometric functions, as well as series from both perturbative quantum field theory and statistical physics. |
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