Deducing the Constraints in the Light-Cone SU(3) Yang-Mills Mechanics Via Gröbner Bases

Abstract

Abstract. The algorithmic methods of commutative algebra based on the Gröbner bases technique are briefly sketched out in the context of an application to the constrained finite dimensional polynomial Hamiltonian systems. The effectiveness of the proposed algorithms and their implementation in Mathematica is demonstrated for the light-cone version of the SU(3) Yang-Mills mechanics. The special homogeneous Gröbner basis is constructed that allow us to find and classify the complete set of constraints the model possesses.