Spontaneous Symmetry Breaking in the Phase Space
Abstract
In this brief, the spontaneous symmetry breaking (SSB) of the theory in phase space, is studied. This phase space results from the appropriate system of Poincare maps, produced in both the Minkowski and the Euclidean time. The importance of discretization in the creation of phase space, is highlighted. A series of interesting, novel, unknown behaviors are reported for the first time; among them the most characteristic is the change in stability. In specific, the stable fixed points of the potential appear as unstable ones, in phase space. Additionally, in the Euclidean-time phase space a unique instability in the position of the critical point, can be created. This instability is further proposed to host tachyonic field in Euclidean space.
Cite
@article{arxiv.2104.04976,
title = {Spontaneous Symmetry Breaking in the Phase Space},
author = {Y. Contoyiannis and S. G. Stavrinides and M. Kampitakis and M. P. Hanias and S. M. Potirakis and P. Papadopoulos},
journal= {arXiv preprint arXiv:2104.04976},
year = {2021}
}