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arXiv · 1208.0339

Canonical bifurcation in higher derivative, higher spin, theories

S. Deser·S. Ertl·D. Grumiller
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Abstract

We present a non-perturbative canonical analysis of the D=3 quadratic-curvature, yet ghost-free, model to exemplify a novel, "constraint bifurcation", effect. Consequences include a jump in excitation count: a linearized level gauge variable is promoted to a dynamical one in the full theory. We illustrate these results with their concrete perturbative counterparts. They are of course mutually consistent, as are perturbative findings in related models. A geometrical interpretation in terms of propagating torsion reveals the model's relation to an (improved) version of Einstein-Weyl gravity at the linearized level. Finally, we list some necessary conditions for triggering the bifurcation phenomenon in general interacting gauge systems.

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S. Deser, S. Ertl, D. Grumiller. 2012-08-01. Canonical bifurcation in higher derivative, higher spin, theories. https://doi.org/10.1088/1751-8113/46/21/214018

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