Covariant quantization of infinite spin particle models, and higher order gauge theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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38 pages, Latex

Scientific paper

10.1088/1126-6708/2006/05/018

Further properties of a recently proposed higher order infinite spin particle model are derived. Infinitely many classically equivalent but different Hamiltonian formulations are shown to exist. This leads to a condition of uniqueness in the quantization process. A consistent covariant quantization is shown to exist. Also a recently proposed supersymmetric version for half-odd integer spins is quantized. A general algorithm to derive gauge invariances of higher order Lagrangians is given and applied to the infinite spin particle model, and to a new higher order model for a spinning particle which is proposed here, as well as to a previously given higher order rigid particle model. The latter two models are also covariantly quantized.

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