From perturbative to non-perturbative in the O(4) sigma model
Zoltan Bajnok (Wigner Research Centre for Physics)
Abstract: Is it possible to derive non-perturbative contributions in a quantum field theory knowing only the perturbative coefficients? We answer this question affirmatively based on the careful analysis of the integrable two dimensional O(4) sigma model. We investigate its ground state energy in a magnetic field, for which integrability provides an exact linear integral equation. By cleverly expanding this equation we could calculate a large number of very percise, factorially growing perturbative coefficients. By investigating their asymptotical behaviour on the Borel plane we managed to reveal a nice resurgence structure leading to the first few exponentially supressed non-perturbative terms of the ambiguity free trans-series. We checked our results against the direct numerical solution of the exact integral equation and find complete agreement.
HEP - theory
Audience: researchers in the topic
Series comments: Description: Research seminars on theoretical high energy physics
Please email fbenini(at)sissa(dot)it or ccopetti(at)sissa(dot)it to obtain the meeting password.
| Organizers: | Francesco Benini*, Christian Copetti* |
| *contact for this listing |