Infinite spin particles

Abstract

We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical Lagrangian. The model exhibit unconventional features like tachyonic behaviour and momenta proportional to light-like accelerations. A simple higher order superversion for half-odd integer particles is also derived. Interaction with external vector fields and curved spacetimes are analyzed with negative results except for (anti)de Sitter spacetimes. We quantize the free theories covariantly and show that the resulting wave functions are fields containing arbitrary large spins. Closely related infinite spin particle models are also analyzed.

43 pages, Latex

References in corpus (7)

• Introduction to the Classical Theory of Higher Spins
• Higher Spin Gauge Theories in Various Dimensions
• Progress in Higher Spin Gauge Theories
• Tensionless strings: physical Fock space and higher spin fields
• Continuous spin and tensionless strings
• Physical Fock space of tensionless strings
• New strings with world-sheet supersymmetry

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• Lagrangian conformal higher spin theory
• An infinite supermultiplet of massive higher-spin fields
• Interaction Vertex for Classical Spinning Particles
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
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• Covariant quantization of infinite spin particle models, and higher order gauge theories
• Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth rank
• Non-Abelian Tensor Gauge Fields. Enhanced Symmetries
• Ten and eleven dimensional perspectives on N=2 black holes
• Interaction of Non-Abelian Tensor Gauge Fields
• Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory
• Equivalence of 3D Spinning String and Superstring