Dryson equations, Ward identities, and the infrared behavior of Yang-Mills theories. [Schwinger-Dyson equations, Slavnov-Taylor identities]perBaker, M.United StatesWashington Univ., Seattle (USA). Dept. of Physics1979-01-01engIt was shown using the Schwinger-Dyson equations and the Slavnov-Taylor identities of Yang-Mills theory that no inconsistency arises if the gluon propagator behaves like (1/p/sup 2/)/sup 2/ for small p/sup 2/. To see whether the theory actually contains such singular long range behavior, a nonperturbative closed set of equations was formulated by neglecting the transverse parts of GAMMA and GAMMA/sub 4/ in the Schwinger-Dyson equations. This simplification preserves all the symmetries of the theory and allows the possibility for a singular low-momentum behavior of the gluon propagator. The justification for neglecting GAMMA/sup (T)/ and GAMMA/sub 4//sup (T)/ is not evident but it is expected that the present study of the resulting equations will elucidate this simplification, which leads to a closed set of equations.Pages: 13GluonsElementary ParticlesPostulated Particles 645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & PropertiesWard IdentityDyson RepresentationSchwinger Source TheoryMathematical Models72 Physics Of Elementary Particles And FieldsGluon ModelParticle ModelsSymmetryInfrared DivergencesPropagatorSingularityYang-Mills TheoryEquations