| Issue |
EPL
Volume 134, Number 4, June 2021
|
|
|---|---|---|
| Article Number | 41002 | |
| Number of page(s) | 7 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/134/41002 | |
| Published online | 29 July 2021 | |
Nonanalyticity of the non-Abelian five-dimensional Chern-Simons term
1 Instituto de Física, Universidade Federal de Alagoas - 57072-900, Maceió, Alagoas, Brazil
2 Departamento de Física, Universidade Regional do Cariri - 63180-000, Juazeiro do Norte, Ceará, Brazil
3 Centro de Ciências e Tecnologia, Universidade Federal do Cariri - 63048-080, Juazeiro do Norte, Ceará, Brazil
(a) job.furtado@ufca.edu.br (corresponding author)
Received: 13 March 2021
Accepted: 5 May 2021
In this work, we study the behavior of the non-Abelian five-dimensional Chern-Simons term at finite-temperature regime in order to verify the possible non-analyticity. We employ two methods, a perturbative and a non-perturbative one. No scheme of regularization is needed, and we verify the non-analyticity of the self-energy of the photon in the origin of momentum space by two conditions that do not commute, namely, the static limit 
and the long-wavelength limit 
, while its tensorial structure holds in both limits.
© 2021 EPLA
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