150441 20251017144655.0 doi 10.1016/j.physletb.2005.11.034 sideral 142388 ART-2006-142388 eng Falomir, H. Vortices, infrared effects and Lorentz invariance violation 2006 Access copy available to the general public Unrestricted The Yang–Mills theory with non-commutative fields is constructed following Hamiltonian and Lagrangian methods. This modification of the standard Yang–Mills theory produces spatially localized solutions very similar to those of the standard non-Abelian gauge theories. This modification of the Yang–Mills theory contain in addition to the standard contribution, the term θ µ µνρλ(A Fν ρλ + 2 3A A A ) ν ρ λ where θµ is a given space-like constant vector with canonical dimension of energy. The Aµ field rescaling and the choice θµ = (0, 0, 0, θ), suggest the equivalence between the Yang–Mills–Chern–Simons theory in 2 + 1 dimensions and QCD in 3 + 1 dimensions in the heavy fermionic excitations limit. Thus, the Yang–Mills–Chern–Simons theory in 2 + 1 dimensions could be a codified way to QCD with only heavy quarks. The classical solutions of the modified Yang–Mills theory for the SU(2) gauge group are explicitly studied info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 5.043 2006 PHYSICS, MULTIDISCIPLINARY 7 / 68 = 0.103 2006 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Gamboa, J. López-Sarrión, J. (orcid)0000-0002-2868-194X Méndez, F. Da Silva, A.J. 632, 5-6 (2006), 740-744 Phys. lett., Sect. B Physics Letters B 0370-2693 145230 http://zaguan.unizar.es/record/150441/files/texto_completo.pdf Versión publicada 2347124 http://zaguan.unizar.es/record/150441/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:150441 articulos driver 2025-10-17-14:37:59 ARTICLE