| |  Online-Ressource |
|---|
| Verfasst von: | Alexandre, Jean [VerfasserIn]  |
|---|
| | Defenu, Nicolò [VerfasserIn] |
|---|
| | Grigolia, G. [VerfasserIn] |
|---|
| | Márián, I. G. [VerfasserIn] |
|---|
| | Mdinaradze, D. [VerfasserIn] |
|---|
| | Trombettoni, A. [VerfasserIn] |
|---|
| | Turovtsi-Shiutev, Y. [VerfasserIn] |
|---|
| | Nándori, I. [VerfasserIn] |
|---|
| Titel: | Renormalisation of non-differentiable potentials |
|---|
| Verf.angabe: | J. Alexandre, N. Defenu, G. Grigolia, I.G. Márián, D. Mdinaradze, A. Trombettoni, Y. Turovtsi-Shiutev and I. Nándori |
|---|
| E-Jahr: | 2022 |
|---|
| Jahr: | 04 July 2022 |
|---|
| Umfang: | 24 S. |
|---|
| Fussnoten: | Gesehen am 03.08.2022 |
|---|
| Titel Quelle: | Enthalten in: Journal of high energy physics |
|---|
| Ort Quelle: | Berlin : Springer, 1997 |
|---|
| Jahr Quelle: | 2022 |
|---|
| Band/Heft Quelle: | (2022), 7, Artikel-ID 12, Seite 1-24 |
|---|
| ISSN Quelle: | 1029-8479 |
|---|
| Abstract: | Non-differentiable potentials, such as the V-shaped (linear) potential, appear in various areas of physics. For example, the effective action for branons in the framework of the brane world scenario contains a Liouville-type interaction, i.e., an exponential of the V-shaped function. Another example is coming from particle physics when the standard model Higgs potential is replaced by a periodic self-interaction of an N-component scalar field which depends on the length, thus it is O(N) symmetric. We first compare classical and quantum dynamics near non-analytic points and discuss in this context the role of quantum fluctuations. We then study the renormalisation of such potentials, focusing on the Exact Wilsonian Renormalisation approach, and we discuss how quantum fluctuations smoothen the bare singularity of the potential. Applications of these results to the non-differentiable effective branon potential and to the O(N) models when the spatial dimension is varied and to the O(N) extension of the sine-Gordon model in (1+1) dimensions are presented. |
|---|
| DOI: | doi:10.1007/JHEP07(2022)012 |
|---|
| URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1007/JHEP07(2022)012 |
|---|
| | DOI: https://doi.org/10.1007/JHEP07(2022)012 |
|---|
| Datenträger: | Online-Ressource |
|---|
| Sprache: | eng |
|---|
| Sach-SW: | Field Theories in Higher Dimensions |
|---|
| | Large Extra Dimensions |
|---|
| | Renormalization and Regularization |
|---|
| | Renormalization Group |
|---|
| K10plus-PPN: | 1813094136 |
|---|
| Verknüpfungen: | → Zeitschrift |
|---|
Renormalisation of non-differentiable potentials / Alexandre, Jean [VerfasserIn]; 04 July 2022 (Online-Ressource)
