Vortices, infrared effects and Lorentz invariance violation
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-Mi...
Guardado en:
| Autores principales: | , , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2006
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83246 |
| Aporte de: |
| Sumario: | 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<SUP>μ</SUP>ε<SUB>μνρλ</SUB> (A<SUP>ν</SUP> F<SUP>ρλ</SUP> + 2/3 A<SUB>ν</SUB> A<SUB>ρ</SUB> A<SUB>λ</SUB>) where θ<SUB>μ</SUB> is a given space-like constant vector with canonical dimension of energy. The A<SUB>μ</SUB> field rescaling and the choice θ<SUB>μ</SUB>=(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. |
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