Vortices, infrared effects and Lorentz invariance violation

Falomir, H. ; Gamboa, J. ; López-Sarrión, J. ; Méndez, F. ; Da Silva, A.J.

Resumen: 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

Idioma: Inglés

DOI: 10.1016/j.physletb.2005.11.034

Año: 2006

Publicado en: Physics Letters B 632, 5-6 (2006), 740-744
ISSN: 0370-2693

Factor impacto JCR: 5.043 (2006)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 7 / 68 = 0.103 (2006) - Q1 - T1

Tipo y forma: Article (Published version)