MG14 - Talk detail

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 Participant

Institution

Session

Accepted

Yes

Order

Time

Talk

Title

Abstract

QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent non-uniform electric fields and their generalization for the such fields was not sufficiently developed. These fields can also create particles from the vacuum, the Klein paradox being closely related to this process. We believe that our work presents a consistent solution of the latter problem. Quantizing the Dirac and scalar fields with time independent backgrounds, we have found in- and out-creation and annihilation operators that allow one to have particle interpretation of the physical system under consideration. To justify the proposed identification, we have performed a detailed mathematical and physical analysis of solutions of the corresponding relativistic wave equations with a subsequent QFT analysis. We have elaborated a nonperturbative technics that allows one to calculate all characteristics of zero-order processes such scattering, reflection, and electron-positron pair creation, and to calculate Feynman diagrams that describe all characteristics of processes with interaction between the in-, out-particles and photons.

Pdf file

Session

Accepted

No

Order

Time

Talk

Title

Abstract

QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent non-uniform electric fields that are given by a step potential and their generalization for the such potentials was not sufficiently developed. Such fields can also create particles from the vacuum, the Klein paradox being closely related to this process. We believe that our work presents a consistent solution of the latter problem. Quantizing the Dirac and scalar fields with time independent backgrounds, we have found in- and out-creation and annihilation operators that allow one to have particle interpretation of the physical system under consideration. To justify the proposed identification, we have performed a detailed mathematical and physical analysis of solutions of the corresponding relativistic wave equations with a subsequent QFT analysis. We have elaborated a nonperturbative technics that allows one to calculate all characteristics of zero-order processes such scattering, reflection, and electron-positron pair creation, and to calculate Feynman diagrams that describe all characteristics of processes with interaction between the in-, out-particles and photons. These diagrams have formally the usual form, but contain special propagators.

Pdf file

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