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.

U(N) Yang-Mills in non-commutative space time / Ahmadiniaz, Naser; Corradini, Olindo; Edwards, James P.; Pisani, Pablo. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:4(2019), pp. 0-34. [10.1007/JHEP04(2019)067]

U(N) Yang-Mills in non-commutative space time

Corradini, Olindo;
2019

Abstract

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.
2019
2019
4
0
34
U(N) Yang-Mills in non-commutative space time / Ahmadiniaz, Naser; Corradini, Olindo; Edwards, James P.; Pisani, Pablo. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:4(2019), pp. 0-34. [10.1007/JHEP04(2019)067]
Ahmadiniaz, Naser; Corradini, Olindo; Edwards, James P.; Pisani, Pablo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1176120
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