PT-symmetric $\varphi^4$ theory in d=0 dimensions
High Energy Physics - Theory
2015-01-06 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
A detailed study of a PT-symmetric zero-dimensional quartic theory is presented and a comparison between the properties of this theory and those of a conventional quartic theory is given. It is shown that the PT-symmetric quartic theory evades the consequences of the Mermin-Wagner-Coleman theorem regarding the absence of symmetry breaking in d<2 dimensions. Furthermore, the PT-symmetric theory does not satisfy the usual Bogoliubov limit for the construction of the Green's functions because one obtains different results for the and the limits.
Cite
@article{arxiv.1501.00514,
title = {PT-symmetric $\varphi^4$ theory in d=0 dimensions},
author = {Carl M. Bender and Vincenzo Branchina and Emanuele Messina},
journal= {arXiv preprint arXiv:1501.00514},
year = {2015}
}
Comments
16 pages, 3 figures