Spinor and twistor formulations of massless particles with rigidity

Abstract

The 4-dimensional model of a massless particle with rigidity whose Lagrangian is proportional to its world-line curvature is reformulated in terms of spinor and twistor variables. We begin with a first-order Lagrangian that is equivalent to the original Lagrangian proportional to the extrinsic curvature of a particle world-line. The first-order Lagrangian is written in terms of spacetime and spinor variables, leading to a spinor representation of the Lagrangian. Then its corresponding action is expressed in terms of twistor variables, leading to the gauged Shirafuji action.

15 pages; minor corrections; published version

References in corpus (3)

• BRST symmetry and $W$-algebra in higher derivative models
• Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions
• Canonical formalism and quantization of a massless spinning bosonic particle in four dimensions

Cited by in corpus (2)

• Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics
• Twistor formulation of a massive particle with rigidity