An exact integration of a \phi^4 quantum field theory
General Physics
2013-07-01 v1
Abstract
Most quantum field theories are not exactly solvable. In this paper show the statistical equivalence of the standard exponential path integral to products of Heaviside functions, i.e. a product of specially tuned uniform distributions. This allows exact integrations of certain quantum field theories. I apply the equivalence to calculate the exact, non-perturbative path integral for a 3+1-D scalar (real) phi-4 field theory.
Keywords
Cite
@article{arxiv.1306.6836,
title = {An exact integration of a \phi^4 quantum field theory},
author = {Timothy D. Andersen},
journal= {arXiv preprint arXiv:1306.6836},
year = {2013}
}
Comments
10 pages, no figures