Vortices, infrared effects and Lorentz invariance violation

• Autores: Falomir, Horacio; Gamboa, J.; López Sarrión, J.; Méndez, F.; Silva, A. J. da
• Año de publicación: 2006
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Ciencias Exactas; Yang-Mills theory; Lorentz invariance violation
• Institución: Universidad Nacional de La Plata

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^με_μνρλ (A^ν F^ρλ + 2/3 A_ν A_ρ A_λ) where θ_μ is a given space-like constant vector with canonical dimension of energy. The A_μ field rescaling and the choice θ_μ=(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.
Facultad de Ciencias Exactas