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Two Dimensional Noncommutative Quantum Electrodynamics

Ghasemkhani, Masoumeh | 2010

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 41157 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda; Ardalan, Farhad
  7. Abstract:
  8. In this thesis, we review the properties of the two dimensional quantum electrodynamics, called Schwinger model and then we study the noncommutative version of the Schwinger model. The most important properties of the Schwinger model in commutative space are the production of dynamical mass for photon like the Higss mechanism and also the bosonization of the model by integrating out the fermionic degrees of freedom and describing it through the free bosonic action. The first section of this thesis includes two parts. At the first, we investigate the corrections to the dynamical photon mass in the noncommutative Schwinger model by using the photon’s vacuum polarization diagrams at one loop level and then we study this problem via the current algebra calculations in noncommutative space. Our result in both of ways is that, there is not any correction to the ratio of the noncommutative photon mass in Euclidean space to its commutative counterpart. Then we obtain the bosonized version of the two dimensional noncommutative electrodynamics in Euclidean space by utilizing of the bosonization. In the second section, we study the properties of two dimensional noncommutative electrodynamics in Minkowski space. This model is a special kind of models that includes the higher derivatives of space-time coordinates. One of the problems of these theories is that one can not quantize them by ordinary method. We introduce a method that overcomes to this problem and then we use this method for perturbative quantization of the noncommutative electrodynamics
  9. Keywords:
  10. Quantum Electrodynamics ; Schwinger Model ; Photon Mass ; Bosonization ; Current Algebra ; Noncommulative Quantum Electrodynamics ; Higher Time Derivatives

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