A non-perturbative analysis of symmetry breaking in two-dimensional phi^4 theory using periodic field methods
High Energy Physics - Theory
2009-10-31 v3 Condensed Matter
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We describe the generalization of spherical field theory to other modal expansion methods. The main approach remains the same, to reduce a d-dimensional field theory into a set of coupled one-dimensional systems. The method we discuss here uses an expansion with respect to periodic-box modes. We apply the method to phi^4 theory in two dimensions and compute the critical coupling and critical exponents. We compare with lattice results and predictions via universality and the two-dimensional Ising model.
Keywords
Cite
@article{arxiv.hep-th/9906189,
title = {A non-perturbative analysis of symmetry breaking in two-dimensional phi^4 theory using periodic field methods},
author = {Pablo J. Marrero and Erick A. Roura and Dean Lee},
journal= {arXiv preprint arXiv:hep-th/9906189},
year = {2009}
}
Comments
12 pages, 4 figures, version to appear in Physics Letters B