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QCD gauge symmetries through Faddeev-Jackiw symplectic method

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Abstract

The interactions between gluons are important in theories such as quantum chromodynamics. Therefore, to rediscover new features of well known methods in order to investigate the SU(3) gauge group can be a new way to deal with Yang-Mills theories. In this work we analyzed YM theories through the well known Faddeev-Jackiw formalism for constrained systems. Besides, we showed precisely that having U(1) Maxwell electromagnetic theory as a starting point we can construct SU(3)-like and SU(3) ⨂ SU(2) ⨂ U(1) non-Abelian theories.

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Authors and Affiliations

  1. Grupo de Física Teórica e Matemática-Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465 km 07, 23890-971, Seropédica, RJ, Brazil

    Everton M. C. Abreu

  2. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil

    Everton M. C. Abreu, Albert C. R. Mendes, Wilson Oliveira & Rodrigo C. N. Silva

  3. Departamento de Matemática e Computação, Universidade do Estado do Rio de Janeiro, Rodovia Presidente Dutra, km 298, 27537-000, Resende, RJ, Brazil

    Clifford Neves

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  1. Everton M. C. Abreu
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  2. Albert C. R. Mendes
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  3. Clifford Neves
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  4. Wilson Oliveira
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  5. Rodrigo C. N. Silva
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Correspondence to Everton M. C. Abreu.

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Abreu, E.M.C., Mendes, A.C.R., Neves, C. et al. QCD gauge symmetries through Faddeev-Jackiw symplectic method. J. High Energ. Phys. 2013, 93 (2013). https://doi.org/10.1007/JHEP06(2013)093

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  • DOI: https://doi.org/10.1007/JHEP06(2013)093

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