Quantum effective actions from nonperturbative worldline dynamics
Abstract
We demonstrate the feasibility of a nonperturbative analysis of quantum field theory in the worldline formalism with the help of an efficient numerical algorithm. In particular, we compute the effective action for a super-renormalizable field theory with cubic scalar interaction in four dimensions in quenched approximation (small- expansion) to all orders in the coupling. We observe that nonperturbative effects exert a strong influence on the infrared behavior, rendering the massless limit well defined in contrast to the perturbative expectation. Our numerical method is based on a direct use of probability distributions for worldline ensembles, preserves all Euclidean spacetime symmetries, and thus represents a new nonperturbative tool for an investigation of continuum quantum field theory.
Cite
@article{arxiv.hep-th/0505275,
title = {Quantum effective actions from nonperturbative worldline dynamics},
author = {H. Gies and J. Sánchez--Guillén and R. A. Vázquez},
journal= {arXiv preprint arXiv:hep-th/0505275},
year = {2009}
}
Comments
33 pages, 10 figures