Deducing the constraints in the light-cone SU(3) Yang-Mills mechanics via Gröbner bases

Authors:
Vladimir Gerdt;Arsen Khvedelidze;Yuri Palii
Affiliations:
Laboratory of Information Technologies, Joint Institute for Nuclear Research, Moscow, Russia;Laboratory of Information Technologies, Joint Institute for Nuclear Research, Moscow, Russia and Department of Theoretical Physics, A.Razmadze Mathematical Institute, Tbilisi, Georgia;Laboratory of Information Technologies, Joint Institute for Nuclear Research, Moscow, Russia and Institute of Applied Physics, Moldova Academy of Sciences, Republic of Moldova
Venue:
CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing
Year:
2007

Citing 3
Cited 0

Gro¨bner bases: a computational approach to commutative algebra

Gro¨bner bases: a computational approach to commutative algebra
Involutive bases of polynomial ideals

Mathematics and Computers in Simulation - Special issue: Simplification of systems of algebraic and differential equations with applications
A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)

Proceedings of the 2002 international symposium on Symbolic and algebraic computation

Quantified Score

Hi-index	0.00

Visualization

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.