Constraints on the string t-duality propagator from the hydrogen atom
- We investigated the implications of string theory in the high-precision regime of quantum mechanics. In particular, we examined a quantum field theoretical propagator which was derived from string theory when compactified at the T-duality self-dual radius and which is closely related to the path integral duality. Our focus was on the hydrogen ground state energy and the 1S1/2−2S1/2 transition frequency, as they are the most precisely explored properties of the hydrogen atom. The T-duality propagator alters the photon field dynamics leading to a modified Coulomb potential. Thus, our study is complementary to investigations where the electron evolution is modified, as in studies of a minimal length in the context of the generalized uncertainty principle. The first manifestation of the T-duality propagator arises at fourth order in the fine-structure constant, including a logarithmic term. For the first time, constraints on the underlying parameter, the zero-point length, are presented. They reach down to 3.9×10−19m and are in full agreement with previous studies on black holes.
Author: | Michael Florian WondrakORCiDGND, Marcus BleicherORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-527540 |
DOI: | https://doi.org/10.3390/sym11121478 |
ISSN: | 2073-8994 |
Parent Title (English): | Symmetry |
Publisher: | MDPI |
Place of publication: | Basel |
Document Type: | Article |
Language: | English |
Year of Completion: | 2019 |
Date of first Publication: | 2019/12/04 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2020/01/27 |
Tag: | extra dimensions; hydrogen energy levels; minimal length; modified Coulomb potential; string T-duality; zero-point length |
Volume: | 11 |
Issue: | 12, Art. 1478 |
Page Number: | 11 |
First Page: | 1 |
Last Page: | 11 |
Note: | This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited |
HeBIS-PPN: | 459857983 |
Institutes: | Physik / Physik |
Wissenschaftliche Zentren und koordinierte Programme / Helmholtz International Center for FAIR | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |