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Title: Quantum field theory of photon-Dirac fermion interacting system in graphene monolayer
Authors: Nguyen Bich, H.
Keywords: Dirac fermion;Electromagnetic field;Green function;Perturbation theory;Quantum field
Issue Date: 2016
Publisher: Institute of Physics Publishing
Citation: Scopus
Abstract: The purpose of the present work is to elaborate quantum field theory of interacting systems comprising Dirac fermion fields in a graphene monolayer and the electromagnetic field. Since the Dirac fermions are confined in a two-dimensional plane, the interaction Hamiltonian of this system contains the projection of the electromagnetic field operator onto the plane of a graphene monolayer. Following the quantization procedure in traditional quantum electrodynamics we chose to work in the gauge determined by the weak Lorentz condition imposed on the state vectors of all physical states of the system. The explicit expression of the two-point Green function of the projection onto a graphene monolayer of a free electromagnetic field is derived. This two-point Green function and the expression of the interaction Hamiltonian together with the two-point Green functions of free Dirac fermion fields established in our previous work form the basics of the perturbation theory of the above-mentioned interacting field system. As an example, the perturbation theory is applied to the study of two-point Green functions of this interacting system of quantum fields.
Description: Advances in Natural Sciences: Nanoscience and Nanotechnology Volume 7, Issue 2, June 2016, Article number 025003
ISSN: 20436262
Appears in Collections:Bài báo của ĐHQGHN trong Scopus

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