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This work is dedicated to the quantization of the light-front Yukawa model inD=1+3 dimensions with higher order derivatives of the scalar field. The problemof the computing Dirac brackets and the (anti-) commutator algebra ofinteracting fields in the presence of the constraints is discussed. The Diracmethod and the Ostrogradski formalism of the higher order derivatives areexploited. The systematic method of obtaining the inverse of the functionalDirac-Bergmann matrix with interactions and higher order derivatives isintroduced in two variants. The discussion of applications and details of thesetwo variants are conducted. The results of the quantization in the form of the(anti-) commutator algebra are presented and analyzed with special regard tothe structure of the interactions for the light-front Yukawa model, whichincludes the higher order derivatives.

Constraints and Interactions in Quantization of Yukawa Model with Higher Order Derivatives