Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-03
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, Talk given at QFTHEP'99, Moscow, May 27-June 2, 1999
Scientific paper
We analyze the possibility of description of D-dimensional massless particles by the Lagrangians linear on world-line curvatures k_i, {\cal S}=\sum_{i=1}^Nc_i\int k_i d{\tilde s}. We show, that the nontrivial classical solutions of this model are given by space-like curves with zero 2N-th curvature for N\leq[(D-2)/2]. Massless spinning particles correspond to the curves with constant k_{N+a}/k_{N-a} ratio. It is shown that only the system with action {\cal S}=c\int k_N d{\tilde s} leads to irreducible representation of Poincar\'e group. This system has maximally possible number (N+1) of gauge degrees of freedom. Its classical solutions obey the conditions k_{N+a}=k_{N-a}, a=1,..., N-1, while first N curvatures k_i remain arbitrary. This solution is specified by coinciding N weights of the massless representation of little Lorentz group, while the remaining weights vanish.
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