6 research outputs found
Infinite spin particles
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.Comment: 43 pages, Late
Covariant quantization of infinite spin particle models, and higher order gauge theories
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.Comment: 38 pages, Late