On the calculation of vector mesons in functional nonlinear spinor theory

Abstract Nonlinear spinor theory is fomulated in functional space. An eigenvalue equation for mesons is derived. The group theoretical reduction of this equation is performed, especially the angular momentum decomposition. For vector mesons it is solved in first Fredholm approximation. A solu-tion corresponding to a physical particle is found contrary to earlier calculations. The calculated mass has the correct order of magnitude.