Loading...

On the β-function and conformal anomaly of noncommutative QED with adjoint matter fields

Sadooghi, N ; Sharif University of Technology | 2003

57 Viewed
  1. Type of Document: Article
  2. DOI: 10.1142/S0217751X0301231X
  3. Publisher: 2003
  4. Abstract:
  5. In the first part of this work, a perturbative analysis up to one-loop order is carried out to determine the one-loop β-function of noncommutative U(1) gauge theory with matter fields in the adjoint representation. In the second part, the conformal anomaly of the same theory is calculated using Fujikawa's path integral method. The value of the one-loop β-function calculated in both methods coincides. As it turns out, noncommutative QED with matter fields in the adjoint representation is asymptotically free for the number of flavor degrees of freedom Nf < 3
  6. Keywords:
  7. β-function ; Conformal anomaly ; Noncommutative field theory
  8. Source: International Journal of Modern Physics A ; Volume 18, Issue 15 , 2003 , Pages 2591-2607 ; 0217751X (ISSN)
  9. URL: https://www.worldscientific.com/doi/abs/10.1142/S0217751X0301231X