Higher Time Derivative Theories From Integrable Models
High Energy Physics - Theory
2024-10-18 v1 Mathematical Physics
math.MP
Abstract
Higher Time Derivative Theories are generated by considering space-time rotated KdV and mKdV systems. These systems are then studied to see if/how instabilities, usually associated with higher time derivative theories, manifest on the classical level by presenting both analytic and numerical solutions. For a linearised version of these space-time rotated systems we present a detailed quantisation of the theory that highlights the known dilemma on higher time derivative theories, that we have either negative norm states or the Hamiltonian being unbounded from below.
Cite
@article{arxiv.2410.13626,
title = {Higher Time Derivative Theories From Integrable Models},
author = {Bethan Turner},
journal= {arXiv preprint arXiv:2410.13626},
year = {2024}
}
Comments
Conference proceeding for the 28^th International Symposium on Integrable Systems and Quantum Symmetries at the Czech Technical University in Prague