Bound states in a model of interaction of Dirac field with material plane

Yu. M. Pismak, D. Yu. Shukhobodskaia, V.A. Andrianov, V.A. Matveev, V.A. Rubakov, V.T. Kim, A.A. Andrianov, M.D. Fitkevich
2016 EPJ Web of Conferences  
In the framework of the Symanzik approach model of the interaction of the Dirac spinor field with the material plane in the 3 + 1-dimensional space is constructed. The model contains eight real parameters characterizing the properties of the material plane. The general solution of the Euler-Lagrange equations of the model and dispersion equations for bound states are analyzed. It is shown that there is a choice of parameters of the model in which the connected states are characterized by
more » ... ion law of a massless particle moving along the material plane with the dimensionless Fermi velocity not exceeding one.
doi:10.1051/epjconf/201612505022 fatcat:yb5c3ymdx5cqrjpyv7cgqt3z6q