Liouville-Neumann Approach to the Nonperturbative Quantum Field Theory
Abstract
We present a nonperturbative field theoretic method based on the Liouville-Neumann (LN) equation. The LN approach provides a unified formulation of nonperturbative quantum fields and also nonequilibrium quantum fields, which makes use of mean-field type equations and whose results at the lowest level are identically the same as those of the Gaussian effective potential approach and the mean-field approach. The great advantageous point of this formulation is its readiness of applicability to time-dependent quantum systems and to finite temperature field theory, and its possibility to go beyond the Gaussian approximation.
Keywords
Cite
@article{arxiv.hep-th/9706052,
title = {Liouville-Neumann Approach to the Nonperturbative Quantum Field Theory},
author = {Sang Pyo Kim},
journal= {arXiv preprint arXiv:hep-th/9706052},
year = {2008}
}
Comments
To appear in the proceedings to be published by World Scientific of APCTP-ICTP Joint International Conference '97 on 'Recent Developments in Nonperturbative Quantum Field Theory', May 26-30, 1997, Seoul, Some typos corrected, ReVTeX, 12 Pages, No Figure