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

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Computer Algebra in Scientific Computing (CASC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4770))

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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.

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Authors and Affiliations

  1. Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russia

    Vladimir Gerdt, Arsen Khvedelidze & Yuri Palii

  2. Department of Theoretical Physics, A.Razmadze Mathematical Institute, Tbilisi, GE-0193, Georgia

    Arsen Khvedelidze

  3. Institute of Applied Physics, Moldova Academy of Sciences, Chisinau, MD-2028, Republic of Moldova

    Yuri Palii

Authors
  1. Vladimir Gerdt
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  2. Arsen Khvedelidze
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  3. Yuri Palii
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Victor G. Ganzha Ernst W. Mayr Evgenii V. Vorozhtsov

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Gerdt, V., Khvedelidze, A., Palii, Y. (2007). Deducing the Constraints in the Light-Cone SU(3) Yang-Mills Mechanics Via Gröbner Bases. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2007. Lecture Notes in Computer Science, vol 4770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75187-8_12

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  • DOI: https://doi.org/10.1007/978-3-540-75187-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75186-1

  • Online ISBN: 978-3-540-75187-8

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