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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.09066 |
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| _version_ | 1866908623805874176 |
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| author | Alkhateeb, Mohammed Matzkin, Alex |
| author_facet | Alkhateeb, Mohammed Matzkin, Alex |
| contents | We show, in the framework of a space-time resolved relativistic quantum field theory approach to tunneling, that microcausality precludes superluminal tunneling dynamics. More specifically in this work dealing with Dirac and Klein-Gordon fields, we first prove that microcausality holds for such fields in the presence of a background potential. We then use this result to show that an intervention performed on a localized region of an initial wave packet subsequently scattering on a potential barrier does not result in any effect outside the light cone emanating from that region. We illustrate these results with numerical computations for Dirac fermions and Klein-Gordon bosons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09066 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Microcausality and Tunneling Times in Relativistic Quantum Field Theory Alkhateeb, Mohammed Matzkin, Alex Quantum Physics High Energy Physics - Theory We show, in the framework of a space-time resolved relativistic quantum field theory approach to tunneling, that microcausality precludes superluminal tunneling dynamics. More specifically in this work dealing with Dirac and Klein-Gordon fields, we first prove that microcausality holds for such fields in the presence of a background potential. We then use this result to show that an intervention performed on a localized region of an initial wave packet subsequently scattering on a potential barrier does not result in any effect outside the light cone emanating from that region. We illustrate these results with numerical computations for Dirac fermions and Klein-Gordon bosons. |
| title | Microcausality and Tunneling Times in Relativistic Quantum Field Theory |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.09066 |