000150441 001__ 150441 000150441 005__ 20251017144655.0 000150441 0247_ $$2doi$$a10.1016/j.physletb.2005.11.034 000150441 0248_ $$2sideral$$a142388 000150441 037__ $$aART-2006-142388 000150441 041__ $$aeng 000150441 100__ $$aFalomir, H. 000150441 245__ $$aVortices, infrared effects and Lorentz invariance violation 000150441 260__ $$c2006 000150441 5060_ $$aAccess copy available to the general public$$fUnrestricted 000150441 5203_ $$aThe 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 000150441 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000150441 590__ $$a5.043$$b2006 000150441 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b7 / 68 = 0.103$$c2006$$dQ1$$eT1 000150441 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000150441 700__ $$aGamboa, J. 000150441 700__ $$0(orcid)0000-0002-2868-194X$$aLópez-Sarrión, J. 000150441 700__ $$aMéndez, F. 000150441 700__ $$aDa Silva, A.J. 000150441 773__ $$g632, 5-6 (2006), 740-744$$pPhys. lett., Sect. B$$tPhysics Letters B$$x0370-2693 000150441 8564_ $$s145230$$uhttps://zaguan.unizar.es/record/150441/files/texto_completo.pdf$$yVersión publicada 000150441 8564_ $$s2347124$$uhttps://zaguan.unizar.es/record/150441/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000150441 909CO $$ooai:zaguan.unizar.es:150441$$particulos$$pdriver 000150441 951__ $$a2025-10-17-14:37:59 000150441 980__ $$aARTICLE