• Corpus ID: 119193739

# Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity

@article{Talaganis2017HamiltonianAF,
title={Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity},
author={Spyridon Talaganis and Alireza Teimouri},
journal={arXiv: High Energy Physics - Theory},
year={2017}
}
• Published 4 January 2017
• Mathematics
• arXiv: High Energy Physics - Theory
Typically higher-derivative theories are unstable. Instabilities manifest themselves from extra propagating degrees of freedom, which are unphysical. In this paper, we will investigate an infinite derivative field theory and study its true dynamical degrees of freedom via Hamiltonian analysis. In particular, we will show that if the infinite derivatives can be captured by a Gaussian kinetic term, i.e. exponential of entire function, then it is possible to prove that there are only finite number…

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