Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations
Abstract Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative calculations in the framework of QED. The inverse-square...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-7646-y |
| _version_ | 1818387961979338752 |
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| author | T. C. Adorno S. P. Gavrilov D. M. Gitman |
| author_facet | T. C. Adorno S. P. Gavrilov D. M. Gitman |
| author_sort | T. C. Adorno |
| collection | DOAJ |
| description | Abstract Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative calculations in the framework of QED. The inverse-square electric field is time-independent, inhomogeneous in the x -direction, and is inversely proportional to x squared. We find exact solutions of the Dirac and Klein–Gordon equations with such a field and construct corresponding in- and out-states. With the help of these states and using the techniques developed in the framework of QED with x-electric potential steps, we calculate characteristics of the vacuum instability, such as differential and total mean numbers of particles created from the vacuum and vacuum-to-vacuum transition probabilities. We study the vacuum instability for two particular backgrounds: for fields widely stretches over the x-axis (small-gradient configuration) and for the fields sharply concentrates near the origin $$x=0$$ x=0 (sharp-gradient configuration). We compare exact results with ones calculated numerically. Finally, we consider the electric field configuration, composed by inverse-square fields and by an x-independent electric field between them to study the role of growing and decaying processes in the vacuum instability. |
| first_indexed | 2024-12-14T04:18:16Z |
| format | Article |
| id | doaj.art-c364957476174f8090c87e35ffa353bb |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T04:18:16Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c364957476174f8090c87e35ffa353bb2022-12-21T23:17:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-02-0180212710.1140/epjc/s10052-020-7646-yVacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculationsT. C. Adorno0S. P. Gavrilov1D. M. Gitman2Department of Physics, College of Physical Sciences and Technology, Hebei UniversityDepartment of Physics, Tomsk State UniversityDepartment of Physics, Tomsk State UniversityAbstract Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative calculations in the framework of QED. The inverse-square electric field is time-independent, inhomogeneous in the x -direction, and is inversely proportional to x squared. We find exact solutions of the Dirac and Klein–Gordon equations with such a field and construct corresponding in- and out-states. With the help of these states and using the techniques developed in the framework of QED with x-electric potential steps, we calculate characteristics of the vacuum instability, such as differential and total mean numbers of particles created from the vacuum and vacuum-to-vacuum transition probabilities. We study the vacuum instability for two particular backgrounds: for fields widely stretches over the x-axis (small-gradient configuration) and for the fields sharply concentrates near the origin $$x=0$$ x=0 (sharp-gradient configuration). We compare exact results with ones calculated numerically. Finally, we consider the electric field configuration, composed by inverse-square fields and by an x-independent electric field between them to study the role of growing and decaying processes in the vacuum instability.https://doi.org/10.1140/epjc/s10052-020-7646-y |
| spellingShingle | T. C. Adorno S. P. Gavrilov D. M. Gitman Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations European Physical Journal C: Particles and Fields |
| title | Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations |
| title_full | Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations |
| title_fullStr | Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations |
| title_full_unstemmed | Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations |
| title_short | Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations |
| title_sort | vacuum instability in a constant inhomogeneous electric field a new example of exact nonperturbative calculations |
| url | https://doi.org/10.1140/epjc/s10052-020-7646-y |
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