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In this work we applied the Dirac-Bergmann procedure to establish the Diracbrackets, which have regard to interaction for the light-front Yukawa model inD=1+3 dimensions. We made use of a simple matrix equation leading to solutionof the set task, wherein the main problem was to calculate the inverse matrixto the array composed of the constraints for enabled interaction. Proposeddevice comes down to the usage of certain, rather elementary matrix series.Obtained result - Dirac brackets including interaction for the Yukawa model -embraces the interacting contributions with first and second powers of thefermionic - scalar coupling constant. It is interesting from the physical pointof view for discussion on the structure and the properties of the (anti-)commutators of the interacting theories on the light-front hyper-surface afterquantization. We compared obtained results to the computations coming frommodified method of the quantization, inferred from the Heisenberg equations.The open problem is whether the inverse matrix to this one, generated by theconstraints, gives the complete and exact or only approximate solution of thestudied problem.

Dirac-Bergmann Procedure Having Regard to Interaction for Light-Front Yukawa Model