Modal expansions and non-perturbative quantum field theory in Minkowski space
High Energy Physics - Theory
2009-10-31 v3 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We introduce a spectral approach to non-perturbative field theory within the periodic field formalism. As an example we calculate the real and imaginary parts of the propagator in 1+1 dimensional phi^4 theory, identifying both one-particle and multi-particle contributions. We discuss the computational limits of existing diagonalization algorithms and suggest new quasi-sparse eigenvector methods to handle very large Fock spaces and higher dimensional field theories.
Keywords
Cite
@article{arxiv.hep-th/9910103,
title = {Modal expansions and non-perturbative quantum field theory in Minkowski space},
author = {Nathan Salwen and Dean Lee},
journal= {arXiv preprint arXiv:hep-th/9910103},
year = {2009}
}
Comments
new material added, 12 pages, 6 figures