Pauli-Fierz mass term in modified Plebanski gravity

被引：0
作者：
David Beke
Giovanni Palmisano
Simone Speziale
机构：
[1] Ghent University,Department of Mathematical Analysis EA16
[2] Università “La Sapienza”,Dipartimento di Fisica
[3] Aix-Marseille University,Centre de Physique Théorique
[4] CNRS-UMR 7332,undefined
来源：
Journal of High Energy Physics | / 2012卷
关键词：
Classical Theories of Gravity; Models of Quantum Gravity;
D O I：
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摘要：
We study SO(4) BF theory plus a general quadratic potential, which describes a bi-metric theory of gravity. We identify the profile of the potential leading to a Pauli-Fierz mass term for the massive graviton, thereby avoiding the linearized ghost. We include the Immirzi parameter in our analysis, and find that the mass of the second graviton depends on it. At the non-perturbative level, we find a situation similar to genuine bi-gravities: even choosing the Pauli-Fierz mass term, the ghost mode propagates through the interactions. We present some simple potentials leading to two and three degrees of freedom, and discuss the difficulties of finding a ghost-free bi-gravity with seven degrees of freedom. Finally, we discuss alternative reality conditions for the case of SO(3,1) BF theory, relevant for Lorentzian signature, and give a new solution to the compatibility equation.
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