Journal of Physical Studies 4(4), 380–386 (2000) DOI: https://doi.org/10.30970/jps.04.380 REDUCTION OF THE FIELD DEGREES OF FREEDOM IN RELATIVISTIC SYSTEM OF POINT PARTICLES WITH MASSLESS SCALAR FIELD A. Nazarenko Institute for Condensed Matter Physics of the National Acad. Sci. of Ukraine 1 Svientsitskii Str., Lviv, UA-79011, Ukraine

A procedure of reducing the field degrees of freedom is elaborated in the linear approximation in the coupling constant expansion for a system of particles with a scalar field within the framework of the Hamiltonian formalism with constraints. A canonical realization of the Poincaré algebra is built in terms of particle variables. A relation between physical and canonical coordinates of particles is found.}

PACS number(s): 03.30.+p, 03.50, 11.30.Cp

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