Inconsistency of scale-invariant curvature coupled to gravity

Details Inconsistency of scale-invariant curvature coupled to gravity Inconsistency of scale-invariant curvature coupled to gravity

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..65.2236z&link_type=abstract

Physical Review Letters, Volume 65, Issue 18, October 29, 1990, pp.2236-2238

Physics

17

Fundamental Problems And General Formalism

Scientific paper

We show that the scale-invariant curvature action for paths, the point-particle version of Polyakov's extrinsic-curvature action for surfaces, does not couple consistently to gravity. The curvature action for paths yields a massless representation of the Poincaré group with fixed helicity and so potentially provides a description of single photons and gravitons. We present a physical interpretation of the inconsistency in terms of the nonlocalizability of the photon and point out a conceptual kinship with the local supersymmetry of a spinning particle.

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