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Dynamics of the O(N) model in a strong magnetic background field as a modified noncommutative field theory

Jafari Salim, A ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.73.065023
  3. Publisher: 2006
  4. Abstract:
  5. In the presence of a strong magnetic field, the effective action of a composite scalar field in a scalar O(N) model is derived using two different methods. First, in the framework of world-line formalism, the 1PI n-point vertex function for the composites is determined in the limit of a strong magnetic field. Then, the n-point effective action of the composites is calculated in the regime of lowest Landau level dominance. It is shown that in the limit of a strong magnetic field, the results coincide and an effective field theory arises which is comparable with the conventional noncommutative field theory. In contrast to the ordinary case, however, the UV/IR mixing is absent in this modified noncommutative field theory. © 2006 The American Physical Society
  6. Keywords:
  7. Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 73, Issue 6 , 2006 ; 15507998 (ISSN)
  8. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.73.065023