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Perturbative quantization of two-dimensional space-time noncommutative QED

Ghasemkhani, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.81.045014
  3. Publisher: 2010
  4. Abstract:
  5. Using the method of perturbative quantization in the first order approximation, we quantize a nonlocal QED-like theory including fermions and bosons whose interactions are described by terms containing higher order space-time derivatives. As an example, the two-dimensional space-time noncommutative QED (NC-QED) is quantized perturbatively up to O(e2,θ3), where e is the NC-QED coupling constant and θ is the noncommutativity parameter. The resulting modified Lagrangian density is shown to include terms consisting of first order time-derivative and higher order space-derivatives of the modified field variables that satisfy the ordinary equal-time commutation relations up to O(e2,θ3). Using these commutation relations, the canonical current algebra of the modified theory is also derived
  6. Keywords:
  8. Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 81, Issue 4 , 2010 ; 15507998 (ISSN)
  9. URL: http://journals.aps.org/prd/abstract/10.1103/PhysRevD.81.045014