How is Lorentz Invariance encoded in the Hamiltonian?
General Relativity and Quantum Cosmology
2016-07-18 v2 High Energy Physics - Theory
Abstract
One of the disadvantages of the Hamiltonian formulation is that Lorentz invariance is not manifest in the former. Given a Hamiltonian, there is no simple way to check whether it is relativistic or not. One would either have to solve for the equations of motion or calculate the Poisson Brackets of the Noether charges to perform such a check. In this paper we show that, for a class of Hamiltonians, it is possible to check Lorentz invariance directly from the Hamiltonian. Our work is particularly useful for theories where the other methods may not be readily available.
Cite
@article{arxiv.1606.02853,
title = {How is Lorentz Invariance encoded in the Hamiltonian?},
author = {Nirmalya Kajuri},
journal= {arXiv preprint arXiv:1606.02853},
year = {2016}
}
Comments
8 pages, no figures; v2: Typos corrected, acknowledgement added. Changed to match published version