info:eu-repo/semantics/article
U(N) Yang-Mills in non-commutative space time
Fecha
2019-04-08Registro en:
Ahmadiniaz, Naser; Corradini, Olindo; Edwards, James P.; González Pisani, Pablo Andrés; U(N) Yang-Mills in non-commutative space time; Springer; Journal of High Energy Physics; 2019; 67; 8-4-2019; 1-35
1126-6708
CONICET Digital
CONICET
Autor
Ahmadiniaz, Naser
Corradini, Olindo
Edwards, James P.
González Pisani, Pablo Andrés
Resumen
We present an approach to U ⋆ (N) Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variables that generate Lorentz structure and colour degrees of freedom. To illustrate this formalism we compute the quadratic terms in the effective action focusing on the planar divergences so as to extract the β-function for the Yang-Mills coupling constant. Nonetheless the method presented is general and can be applied to calculate the effective action at arbitrary order of expansion in the coupling constant and is well suited to the computation of low energy one-loop scattering amplitudes.