Stability in higher-derivative matter fields theories
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna, 141980, Russia
2 Department of General Relativity and Gravitation, Institute of Physics, Kazan Federal University, Kremlevskaya street 18, Kazan, 420008, Russia
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Accepted: 1 September 2016
Published online: 12 September 2016
We discuss possible instabilities in higher-derivative matter field theories. These theories have two free parameters and . By using a dynamical system approach we explicitly demonstrate that for the stability of Minkowski space in an expanding universe we need the condition . By using the quantum field theory approach we also find an additional restriction for the parameters, , which is needed to avoid a tachyon-like instability.
© The Author(s), 2016