Model of Dirac field interacting with material plane within Symanzik’s approach

Shakhova²

2021

Symmetry

Symanzik’s approach to the description of quantum field systems in an inhomogeneous space-time is used to construct a model for the interaction of neutrino fields with matter. In this way, the problem of the influence of strong inhomogeneities of the medium on the processes of oscillations is considered. As a simple example, a model of neutrino scattering on a material plane is investigated. Within this model, in the collisions of particles with planes, a special filtration mechanism can be formed. It has a significant impact on the dynamics of subsequent neutrino oscillations which are analogous to the Mikheev-Smirnov-Wolfenstein effect at propagation of these particles in an adiabatic medium. Taking into account the possibility of the filtration process in a highly inhomogeneous environment can be useful in planning and carrying out experimental studies of neutrino physics. It can also be considered by investigations of the role of neutrino in astrophysical processes by means of numerical simulations methods.

“…For transmitted waves, one needs to replace a 1µ → c 1µ = t µ+ a 1µ , a 2µ → c 2µ = t µ− a 2µ . Thus, changing in (35) and ( 36)…”

Section: Moving Of Particles Along the X 3 -Axesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane

Shakhova²

2021

Symmetry

Symanzik approach in modeling of bound states of Dirac particle in singular background

Shukhobodskaia

2017

EPJ Web Conf.

Self Cite

Abstract. In the model of interaction of spinor field with homogeneous isotropic material plane constructed in framework of Symanzik approach, the bound states are studied. For localized near plane Dirac particle the expression for current, charge and density are presented. For bound state with massless dispersion law the current, charge and density are calculated for simplified model with 2 parameter exactly.The model can find application to a wide class of phenomena arising by the interaction of fields of quantum electrodynamics with two-dimensional materials.Investigation of macroscopic quantum phenomena is an important direction in experimental and theoretical physics which has attracted recently the attention of many researchers. In this area, the main problem of modelling employing the principles of quantum field theory is that the space-time homogeneity and isotropy, which is typical for usual quantum field theory models of elementary particles [1], must be broken. The symmetry properties of the vacuum may change essentially as a result of interactions of quantum fields with macroscopic objects. Therefore quantum macro effects may appear in dynamics of material bodies which cannot be explained both in classical physics and in framework of non relativistic quantum mechanics.Theoretically, this problem was first considered in 1948 by Casimir [2]. He showed that the fluctuations of the quantum vacuum generate attraction between ideally conducting plates of a planar uncharged capacitor. This phenomenon, called the Casimir effect (CE), is observed experimentally [3][4][5][6], and the empirical results obtained for materials with high conductivity, with a high degree of accuracy, are in agreement with theoretical ones.At typical for CE distances of 10 to 1000 nm both classical and quantum properties of the system turn out to be essential. Their combination forms a special nanophysics. Investigation of it is not solely of theoretical interest, understanding its particular feature is also important for developing new technological devices, in view of the increasing trend to their miniaturization.Although theoretical investigations of the CE are the subject of numerous works [6,7], they are often based on simplified models ignoring usually specificity of quantum electrodynamics. Such models are not suitable for comprehensively describing a wide range of nanophysical phenomena occurring in a system as a result of the interaction of its quantum degrees of freedom with material bodies of a given shape (classic defect).In our work we used the the Symanzik's approach [8], modelling the interaction of quantized fields with a spatial inhomogeneity with the aid of an additional action functional (defect action), concentrated in the spatial domain where this inhomogeneity -a macroscopic object -is located. It is

Dispersion relations and dynamic characteristics of bound states in the model of a Dirac field interacting with a material plane

Wegner

2018

EPJ Web Conf.

Symanzik’s approach for construction of quantum field model in inhomogeneous space-time is used as a basis for modeling the interaction of a macroscopic material body with quantum fields. In quantum electrodynamics it enables one to establish the most general form of the action functional describing the interaction of 2-dimensional material objects with photon and fermion fields. Results obtained within this approach for description of the interaction of the spinor field with a material plane are presented.