Curvature and torsion of the world curve in the action of the relativistic particle

Journal of Mathematical Physics - Tập 32 Số 12 - Trang 3315-3320 - 1991
V. V. Nesterenko1
1Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, SU-141980 Dubna, USSR

Tóm tắt

A generalization of the relativistic particle action is considered. It contains, in addition to the length of the world trajectory, the integrals along the world curve of its curvature and torsion. The generalized Hamiltonian formalism for this model in the D-dimensional space-time is constructed. A complete set of the constraints in the phase space is obtained and their division into the first-class and the second-class constraints is accomplished. On this basis the canonical quantization of the model is fulfilled. For D=3 the mass spectrum is obtained in the sector without tachyonic states, the mass of the state being dependent on its spin. It is shown that in the framework of this model when D=3 we have the possibility to describe the states with integral, half-odd-integral and continuous spins. Interaction with an external Abelian gauge field is introduced in the geometrical way.

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Tài liệu tham khảo

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Thông tin xuất bản

Journal of Mathematical Physics

Tập 32 Số 12

3315-3320

Thông tin tác giả