String model in D=1+3 dimensions: the non-standard approach to Hamiltonian dynamics and quantization
S V Talalov; S V Talalov; Dept.of Theor. Phys., Pedagogical Univ., Togliatti, Russia
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1994-04-07
Аннотация:
The open spinning string is investigated in Minkowski space E<sub>1.3</sub>. By means of a reduction to the Wess-Zumino-Witten-Novikov (WZWN) model a new Hamiltonian formalism is constructed. The Poisson bracket structure of the theory is given in terms of the algebra ((sl(2,C)(X)(t<sup>-1</sup>, t))(+)C<sub>z</sub>)(X)P, where P is the Poincare algebra. The covariant quantization is fulfilled in D=1+3 dimensions with help of 'bosonization' methods. The resulting theory is a combination of the theory of a free fermionic field in two dimensions and the theory of a free particle in Minkowski space. Non-triviality is conditioned by the presence of a finite number of constraints. The formula for the mass spectrum is discussed.
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