Theory of Green functions of free Dirac fermions in graphene
This work is the beginning of our research on graphene quantum
electrodynamics (GQED), based on the application of the methods of
traditional quantum field theory to the study of the interacting system
of quantized electromagnetic field and Dirac fermions in single-layer
graphene. After a brief review of the known results concerning the
lattice and electronic structures of single-layer graphene we perform
the construction of the quantum fields of free Dirac fermions and the
establishment of the corresponding Heisenberg quantum equations of these
fields. We then elaborate the theory of Green functions of Dirac
fermions in a free Dirac fermion gas at vanishing absolute temperature
T?=?0, the theory of Matsubara temperature Green functions and the
Keldysh theory of non-equilibrium Green functions.
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