The infinite coupling limit and the asymptotics of coefficients of the perturbation expansion
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 highorder asymptotics and supposition on the Borel summability. This method for the GellMannLow function β( g) in the (4π^{2}/3) gϕ {_{(4)}/^{4}} model gives approximately β( g) → 1.8 g ^{2}.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 March 1979
 DOI:
 10.1007/BF00400070
 Bibcode:
 1979LMaPh...3..143T