TY - JOUR

T1 - Singular background in a model of material plane interacting with dirac particles

AU - Pismak, Yu.M.

AU - Shakhova, O.Yu.

N1 - Pismak, Y.M., Shakhova, O.Y. Singular Background in a Model of Material Plane Interacting with Dirac Particles. Phys. Part. Nuclei 53, 326–334 (2022). https://doi.org/10.1134/S1063779622020678

PY - 2022/5/12

Y1 - 2022/5/12

N2 - A method is proposed for modeling the interaction of fields of quantum electrodynamics (QED) with two-dimensional materials in the framework of the Symanzik approach. It is based on the modification of the QED Lagrangian with additional contribution concentrated in a two-dimensional region of space. The requirement do not violate in this way the basic principles of QED imposessignificant restrictions on the possible form of the modified Lagrangian and as a result it appears in the model a small number of new dimensionless parameters describing the material properties of a two-dimensional object. The Dirac spinor fields in this approach can be used to describe the processes of interaction of 1/2-spin particles (electrons, protons, neutrons) with two-dimensional materials. Results obtained in the model of interaction of spinor fields with a homogeneous isotropic material plane are presented.

AB - A method is proposed for modeling the interaction of fields of quantum electrodynamics (QED) with two-dimensional materials in the framework of the Symanzik approach. It is based on the modification of the QED Lagrangian with additional contribution concentrated in a two-dimensional region of space. The requirement do not violate in this way the basic principles of QED imposessignificant restrictions on the possible form of the modified Lagrangian and as a result it appears in the model a small number of new dimensionless parameters describing the material properties of a two-dimensional object. The Dirac spinor fields in this approach can be used to describe the processes of interaction of 1/2-spin particles (electrons, protons, neutrons) with two-dimensional materials. Results obtained in the model of interaction of spinor fields with a homogeneous isotropic material plane are presented.

KW - Inhomogeneous space-time in quantum electrodynamics

KW - Dirac equation with singular potential

KW - thin films

UR - https://link.springer.com/article/10.1134/S1063779622020678

M3 - Article

VL - 53

SP - 326

EP - 334

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 2

ER -