Publication Date
2010
Journal or Book Title
Physics Review Letters
Abstract
The divergence of perturbative expansions which occurs for the vast majority of macroscopic systems and follows from Dyson’s collapse argument prevents the direct use of Feynman’s diagrammatic technique for controllable studies of strongly interacting systems. We show how the problem of divergence can be solved by replacing the original model with a convergent sequence of successive approximations which have a convergent perturbative series while maintaining the diagrammatic structure. As an instructive model, we consider the zero-dimensional |ψ|4 theory.
Volume
105
Issue
21
Recommended Citation
Pollet, L; Prokof'ev, Nikolai; and Svistunov, Boris, "Regularization of Diagrammatic Series with Zero Convergence Radius" (2010). Physics Review Letters. 1169.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1169
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v105/i21/e210601