Catastrophe theoretic approach to the Higgs Mechanism
High Energy Physics - Phenomenology
2024-01-31 v2 High Energy Physics - Theory
Mathematical Physics
Algebraic Topology
Dynamical Systems
math.MP
Abstract
A geometric perspective of the Higgs Mechanism is presented. Using Thom's Catastrophe Theory, we study the emergence of the Higgs Mechanism as a discontinuous feature in a general family of Lagrangians obtained by varying its parameters. We show that the Lagrangian that exhibits the Higgs Mechanism arises as a first-order phase transition in this general family. We find that the Higgs Mechanism (as well as Spontaneous Symmetry Breaking) need not occur for a different choice of parameters of the Lagrangian, and further analysis of these unconventional parameter choices may yield interesting implications for beyond standard model physics.
Keywords
Cite
@article{arxiv.2307.12042,
title = {Catastrophe theoretic approach to the Higgs Mechanism},
author = {Samyak Jain and Ameeya Bhagwat},
journal= {arXiv preprint arXiv:2307.12042},
year = {2024}
}
Comments
5 figures