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

  • Naser Ahmadiniaz
  • Olindo Corradini
  • James P. EdwardsEmail author
  • Pablo Pisani
Open Access
Regular Article - Theoretical Physics


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.


Effective Field Theories Gauge Symmetry Non-Commutative Geometry 


Open Access

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© The Author(s) 2019

Authors and Affiliations

  1. 1.Center for Relativistic Laser Science, Institute for Basic ScienceGwangjuKorea
  2. 2.Dipartimento di Scienze Fisiche, Informatiche e MatematicheUniversità degli Studi di Modena e Reggio EmiliaModenaItaly
  3. 3.INFN, Sezione di BolognaBolognaItaly
  4. 4.Instituto de Física y MatemáticasUniversidad Michoacana de San Nicolás de HidalgoMoreliaMéxico
  5. 5.Instituto de Física La Plata, CONICET-UNLPLa PlataArgentina

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