Non-Concave Bare Actions with Concave Effective Actions I: Zero Dimensions
High Energy Physics - Phenomenology
2007-05-23 v4
Abstract
We perform an explicit computation of the effective action for a few zero-dimensional Euclidean field theories in which the bare action exhibits several (or infinitely many) minima. In all cases the effective action is well-defined for all field values, as well as purely concave, in contrast to the bare action. We give arguments against the validity of the naive perturbative approach, which would lead to spontaneous symmetry breaking.
Cite
@article{arxiv.hep-ph/0509142,
title = {Non-Concave Bare Actions with Concave Effective Actions I: Zero Dimensions},
author = {E. N. Argyres and M. T. M. van Kessel and R. H. P. Kleiss},
journal= {arXiv preprint arXiv:hep-ph/0509142},
year = {2007}
}
Comments
12 pages, 3 figures