On the relation between local and geometric Lagrangians for higher spins

Details On the relation between local and geometric Lagrangians for higher spins On the relation between local and geometric Lagrangians for higher spins

2010-01-21

arxiv.org/abs/1001.3854v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. Contribution to the proceedings of the 1st Mediterranean Conference on Classical and Quantum Gravity, Kolymbary (Cre

Scientific paper

Equations of motion for free higher-spin gauge fields of any symmetry can be formulated in terms of linearised curvatures. On the other hand, gauge invariance alone does not fix the form of the corresponding actions which, in addition, either contain higher derivatives or involve inverse powers of the d'Alembertian operator, thus introducing possible subtleties in degrees of freedom count. We suggest a path to avoid ambiguities, starting from local, unconstrained Lagrangians previously proposed, and integrating out the auxiliary fields from the functional integral, thus generating a unique non-local theory expressed in terms of curvatures.

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