ON THE INFRARED BEHAVIOR OF THE GLUON PROPAGATOR

Within the framework of gluodynamics, the well-known truncated Schwing er-Dyson equation for the gluon propagator is considered. The general case of power infrared behavior with noninteger exponents is investiga ted. The technique of extracting nonleading terms of the nonlinear int egral equation, defined only by the infrared behavior of the propagato r, is developed. The characteristic equation for the exponent is obtai ned and the interval of its valves -1 less than or equal to c less tha n or equal to 3 is studied. It is shown that the equation for the gluo n propagator in question has no solutions for the noninteger and nonha lf-integer power infrared behavior.