Comment on "The relativistic particle with curvature and torsion of world trajectory"

TL;DR

This paper critically examines claims that the tachyonic sector in a relativistic particle model with curvature and torsion can be eliminated via gauge fixing, arguing that such claims are incorrect and the sector cannot be removed.

Contribution

The paper refutes previous claims by analyzing gauge fixing procedures and demonstrating the persistence of the tachyonic sector in the model.

Findings

The mass-spin dependence claimed earlier is incorrect.

The gauge surface used does not intersect all gauge orbits.

The tachyonic sector cannot be eliminated by gauge fixing.

Abstract

Gogilidze and Surovtsev have claimed recently (hep-th/9809191) that the tachyonic sector can be removed from the spectrum of the relativistic particle with curvature and torsion by a proper gauge choice. We show that the mass-spin dependence obtained by them is incorrect and point out that their gauge surface does not cross all the gauge orbits. We discuss the nature of the tachyonic sector of the model and argue why it cannot be removed by any gauge fixing procedure.