Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization

Abstract

We present new model of D=4 relativistic massive particle with spin and we describe its quantization. The model is obtained by an extension of standard relativistic phase space description of massive spinless particle by adding new topological Souriau-Wess-Zumino term which depends on spin fourvector variable. We describe equivalently our model as given by the free two-twistor action with suitable constraints. An important tool in our derivation is the spin-dependent twistor shift, which modifies standard Penrose incidence relations. The quantization of the model provides the wave function with correct mass and spin eigenvalues.

arXiv comment1+15 pages

References in corpus (17)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Superbranes and Superembeddings
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Superparticle Models with Tensorial Central Charges
• Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates
• Loop amplitudes in gauge theories: modern analytic approaches
• Conformal and Einstein gravity from twistor actions
• Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics
• Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
• Extension of the Shirafuji model for Massive Particles with Spin
• Bitwistor formulation of massive spinning particle
• Maxwell group and HS field theory
• Directly Interacting Massless Particles - a Twistor Approach
• Semionic Supersymmetric Solitons
• Bitwistor Formulation Of The Spinning Particle

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• Massive conformal particles with non-Abelian charges from free U(2N,2N)-twistor dynamics: quantization and coherent states
• Inhomogeneous transformations in a gauged twistor formulation of a massive particle