Sharif Digital Repository

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...