Spontaneous symmetry breaking and linear effective potentials
High Energy Physics - Theory
2013-05-30 v1 High Energy Physics - Phenomenology
Abstract
The convexity of a scalar effective potential is a well known property, and, in the situation of spontaneous symmetry breaking, leads to the so-called Maxwell construction, characterised by a flat effective potential between the minima of the bare potential. Simple derivations are given here, which show how linear effective potentials arise from non-trivial saddles points which dominate the partition function, for a self-interacting scalar field and for a Yukawa model.
Cite
@article{arxiv.1205.1160,
title = {Spontaneous symmetry breaking and linear effective potentials},
author = {Jean Alexandre},
journal= {arXiv preprint arXiv:1205.1160},
year = {2013}
}
Comments
13 pages, 3 figures