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Galaxies 2018, 6(1), 23; https://doi.org/10.3390/galaxies6010023

Unitary Issues in Some Higher Derivative Field Theories

1
Departamento de Física Teórica, Universidad de Zaragoza, E-50009 Zaragoza, Spain
2
Instituto de Física, Universidade de Brasília, C. P. 04455, Brasília, DF 70910-900, Brazil
3
Departamento de Física–ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG 36036-900, Brazil
4
Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634061, Russia
5
National Research Tomsk State University, Tomsk 634050, Russia
*
Author to whom correspondence should be addressed.
Received: 30 November 2017 / Revised: 22 January 2018 / Accepted: 2 February 2018 / Published: 14 February 2018
(This article belongs to the Special Issue Cosmology and the Quantum Vacuum)
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Abstract

We analyze the unitarity properties of higher derivative quantum field theories which are free of ghosts and ultraviolet singularities. We point out that in spite of the absence of ghosts most of these theories are not unitary. This result confirms the difficulties of finding a consistent quantum field theory of quantum gravity. View Full-Text
Keywords: quantum gravity; higher derivatives; non-local theories; unitarity; consistency conditions; Osterwalder-Schrader positivity; Kallen-Lehmann spectral representation quantum gravity; higher derivatives; non-local theories; unitarity; consistency conditions; Osterwalder-Schrader positivity; Kallen-Lehmann spectral representation
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Asorey, M.; Rachwal, L.; Shapiro, I. Unitary Issues in Some Higher Derivative Field Theories. Galaxies 2018, 6, 23.

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