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Higher Time Derivative Theories From Integrable Models
by
Turner, Bethan
in
Relativity
2024
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Higher Time Derivative Theories From Integrable Models
by
Turner, Bethan
in
Relativity
2024
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Journal Article
Higher Time Derivative Theories From Integrable Models
2024
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Overview
Higher Time Derivative Theories are generated by considering space-time roated 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.
Publisher
IOP Publishing
Subject
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