Ghost-free, finite, fourth order D=3 (alas) gravity

Details Ghost-free, finite, fourth order D=3 (alas) gravity Ghost-free, finite, fourth order D=3 (alas) gravity

2009-04-28

arxiv.org/abs/0904.4473v3

Phys.Rev.Lett.103:101302,2009

Physics

High Energy Physics

High Energy Physics - Theory

Extended, expanded Phys Rev Lett version

Scientific paper

10.1103/PhysRevLett.103.101302

Canonical analysis of a recently proposed [1] linear+quadratic curvature gravity model in D=3 displays its pure fourth derivative quadratic branch as a ghost-free (massless) excitation. Hence it both negates an old no-go theorem and is power-counting UV finite. It is also conformal-invariant, so the metric is underdetermined. While the 2-term branch is also ghost-free, it has, as shown in [1], a second-derivative, two-tensor equivalent, akin to the second order scalar-tensor form of ostensibly fourth order, $R+R^2$, actions. This correspondence fails for the pure quadratic branch: it is irreducibly fourth-order.

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