Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: ${\varphi }^3$ QFT in 6 Dimensions

Michael Borinsky, Gerald V. Dunne, Max Meynig

We analyze the asymptotically free massless scalar ${\varphi }^3$ quantum field theory in 6 dimensions, using resurgent asymptotic analysis to find the trans-series solutions which yield th…