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The cost of building a wall for a fermion

Wan Mokhtar, Wan Mohamad Husni; Louko, Jorma

Authors

Wan Mohamad Husni Wan Mokhtar

JORMA LOUKO jorma.louko@nottingham.ac.uk
Professor of Mathematical Physics



Abstract

We analyse the energy cost of building or demolishing a wall for a massless Dirac field in (1+1)-dimensional Minkowski spacetime and the response of an Unruh-DeWitt particle detector to the generated radiation. For any smoothly-evolving wall, both the field’s energy density and the detector’s response are finite. In the limit of rapid wall creation or demolition, the energy density displays a delta function squared divergence. By contrast, the response of an Unruh-DeWitt detector, evaluated within first-order perturbation theory, diverges only logarithmically in the duration of the wall evolution. The results add to the evidence that a localised matter system may not be as sensitive to the rapid wall creation as the local expectation values of field observables. This disparity has potential interest for quantum information preservation scenarios.

Citation

Wan Mokhtar, W. M. H., & Louko, J. (2022). The cost of building a wall for a fermion. Journal of High Energy Physics, 2022(8), Article 69. https://doi.org/10.1007/JHEP08%282022%29069

Journal Article Type Article
Acceptance Date Jul 1, 2022
Online Publication Date Aug 4, 2022
Publication Date Aug 1, 2022
Deposit Date Aug 5, 2022
Publicly Available Date Aug 8, 2022
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2022
Issue 8
Article Number 69
DOI https://doi.org/10.1007/JHEP08%282022%29069
Keywords Nuclear and High Energy Physics
Public URL https://nottingham-repository.worktribe.com/output/9589022
Publisher URL https://link.springer.com/article/10.1007/JHEP08(2022)069

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