Quantum corrections to tunnelling amplitudes of neutral scalar fields
Abstract Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling. Due to the single-particle nature of quantum mechanics, many-particle effects arising from quan...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-09-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13287-3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846164929026981888 |
|---|---|
| author | Rosemary Zielinski Patrick McGlynn Cédric Simenel |
| author_facet | Rosemary Zielinski Patrick McGlynn Cédric Simenel |
| author_sort | Rosemary Zielinski |
| collection | DOAJ |
| description | Abstract Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling. Due to the single-particle nature of quantum mechanics, many-particle effects arising from quantum field theory are not accounted for. Such many-particle effects, including pair-production, have proved to be essential in resolving the Klein-paradox. This work seeks to determine how quantum corrections affect the tunnelling probability through an external field. We investigate a massive neutral scalar field, which interacts with an external field in accordance with relativistic quantum mechanics. To consider QFT corrections, we include another massive quantised neutral scalar field coupling to the original via a cubic interaction. This study formulates an all-order recursive expression for the loop-corrected scalar propagator, which contains only the class of vertex-corrected Feynman diagrams. This equation applies for general external potentials. Though there is no closed-form analytic solution, we also demonstrate how to approximate the QFT corrections if a perturbative coupling to the quantised field is assumed. |
| format | Article |
| id | doaj-art-cc7ea18d34ce4ee29d76107f71cfeda7 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-cc7ea18d34ce4ee29d76107f71cfeda72024-11-17T12:44:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-018491910.1140/epjc/s10052-024-13287-3Quantum corrections to tunnelling amplitudes of neutral scalar fieldsRosemary Zielinski0Patrick McGlynn1Cédric Simenel2Department of Fundamental and Theoretical Physics, The Australian National UniversityDepartment of Fundamental and Theoretical Physics, The Australian National UniversityDepartment of Fundamental and Theoretical Physics, The Australian National UniversityAbstract Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling. Due to the single-particle nature of quantum mechanics, many-particle effects arising from quantum field theory are not accounted for. Such many-particle effects, including pair-production, have proved to be essential in resolving the Klein-paradox. This work seeks to determine how quantum corrections affect the tunnelling probability through an external field. We investigate a massive neutral scalar field, which interacts with an external field in accordance with relativistic quantum mechanics. To consider QFT corrections, we include another massive quantised neutral scalar field coupling to the original via a cubic interaction. This study formulates an all-order recursive expression for the loop-corrected scalar propagator, which contains only the class of vertex-corrected Feynman diagrams. This equation applies for general external potentials. Though there is no closed-form analytic solution, we also demonstrate how to approximate the QFT corrections if a perturbative coupling to the quantised field is assumed.https://doi.org/10.1140/epjc/s10052-024-13287-3 |
| spellingShingle | Rosemary Zielinski Patrick McGlynn Cédric Simenel Quantum corrections to tunnelling amplitudes of neutral scalar fields European Physical Journal C: Particles and Fields |
| title | Quantum corrections to tunnelling amplitudes of neutral scalar fields |
| title_full | Quantum corrections to tunnelling amplitudes of neutral scalar fields |
| title_fullStr | Quantum corrections to tunnelling amplitudes of neutral scalar fields |
| title_full_unstemmed | Quantum corrections to tunnelling amplitudes of neutral scalar fields |
| title_short | Quantum corrections to tunnelling amplitudes of neutral scalar fields |
| title_sort | quantum corrections to tunnelling amplitudes of neutral scalar fields |
| url | https://doi.org/10.1140/epjc/s10052-024-13287-3 |
| work_keys_str_mv | AT rosemaryzielinski quantumcorrectionstotunnellingamplitudesofneutralscalarfields AT patrickmcglynn quantumcorrectionstotunnellingamplitudesofneutralscalarfields AT cedricsimenel quantumcorrectionstotunnellingamplitudesofneutralscalarfields |