2026-05-04T14:22:43Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/103192025-05-17T22:42:10Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Santamaría Sanz, Lucía
947
600
0000-0003-4215-5011
2025-03-13T08:33:35Z
2025-03-13T08:33:35Z
2024-05
1751-8113
http://hdl.handle.net/10259/10319
10.1088/1751-8121/ad4754
1751-8121
The one-loop quantum corrections to the internal energy of some lattices due to the quantum fluctuations of the scalar field of phonons are studied. The band spectrum of the lattice is characterised in terms of the scattering data, allowing to compute the quantum vacuum interaction energy between nodes at zero temperature, as well as the total Helmholtz free energy, the entropy, and the Casimir pressure between nodes at finite non-zero temperature. Some examples of periodic potentials built from the repetition in one of the three spatial dimensions of the same punctual or compact supported potential are addressed: a stack of parallel plates constructed by positioning
-functions at the lattice nodes, and an 'upside-down tiled roof' of parallel two-dimensional Pöschl–Teller wells centred at the nodes. They will be called generalised Dirac comb and Pöschl–Teller comb, respectively. Positive one-loop quantum corrections to the entropy appear for both combs at non-zero temperatures. Moreover, the Casimir force between the lattice nodes is always repulsive for both chains when non-trivial temperatures are considered, implying that the primitive cell increases its size due to the quantum interaction of the phonon field.
This research was supported by the Spanish Ministry of Science and Innovation MICIN with funding from European Union NextGenerationEU (PRTRC17.I1) and by the Regional Government of Castilla y Le´on (Junta de Castilla y Le´on, Spain) through QCAYLE project.
application/pdf
eng
IOP Publishing
Journal of Physics A: Mathematical and Theoretical. 2024, V. 57, n. 22, p. 225402
https://doi.org/10.1088/1751-8121/ad4754
Thermal field theory
Scattering amplitudes
Topological solitons
Quantum vacuum
Física
Matemáticas
Physics
Mathematics
Quantum field theory at finite temperature for 3D periodic backgrounds
info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
info:eu-repo/semantics/openAccess
Journal of Physics A: Mathematical and Theoretical
57
22
225402
THUMBNAIL
Santamaría-jopAmat_2024.pdf.jpg
Santamaría-jopAmat_2024.pdf.jpg
IM Thumbnail
image/jpeg
3975
https://riubu.ubu.es/bitstream/10259/10319/3/Santamar%c3%ada-jopAmat_2024.pdf.jpg
e8362ae6184edfbd599a547b3db75b84
MD5
3
LICENSE
license.txt
license.txt
text/plain; charset=utf-8
998
https://riubu.ubu.es/bitstream/10259/10319/2/license.txt
aa90105e1c90a1b4fe810649aa967b7d
MD5
2
ORIGINAL
Santamaría-jopAmat_2024.pdf
Santamaría-jopAmat_2024.pdf
application/pdf
1837728
https://riubu.ubu.es/bitstream/10259/10319/1/Santamar%c3%ada-jopAmat_2024.pdf
a9ae76a54e80abc06d9c36a1a17c8ff2
MD5
1
10259/10319
oai:riubu.ubu.es:10259/10319
2025-05-18 00:42:10.241
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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