Non-commutative field theory as a theory including the Lorentz violation can be constructed in two different ways. In the first method, the non-commutative fields are the same as the ordinary ones while the gauge group is restricted to U(n). For example, the symmetry group of standard model in non-commutative space is U(3)×(2)×U(1) which can be reduced to SU(3)×SU(2)×U(1) by two appropriate spontaneous symmetry breaking. In contrast, in the second method, the non-commutative gauge theory can be constructed for SU(n) gauge group via Seiberg- Witten map. In this work, we want to find the relation between the NC-parameter and the Lorentz violation parameters for the first method and compare our results with what is already found in the second one. At the end, we obtain new limits on non-commutative parameter by using the existing bounds on the Lorentz Violation parameters.
Aghababaei,S. and Haghighat,M. (2019). Non-commutative field theory and the parameters of Lorentz violation in QED. Iranian Journal of Physics Research, 11(2), 189-197.
MLA
Aghababaei,S. , and Haghighat,M. . "Non-commutative field theory and the parameters of Lorentz violation in QED", Iranian Journal of Physics Research, 11, 2, 2019, 189-197.
HARVARD
Aghababaei S., Haghighat M. (2019). 'Non-commutative field theory and the parameters of Lorentz violation in QED', Iranian Journal of Physics Research, 11(2), pp. 189-197.
CHICAGO
S. Aghababaei and M. Haghighat, "Non-commutative field theory and the parameters of Lorentz violation in QED," Iranian Journal of Physics Research, 11 2 (2019): 189-197,
VANCOUVER
Aghababaei S., Haghighat M. Non-commutative field theory and the parameters of Lorentz violation in QED. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2019; 11(2): 189-197.
