Renormalization and running in the 2D $CP(1)$ model
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916367780806656 |
|---|---|
| author | Buccio, Diego Donoghue, John F. Menezes, Gabriel Percacci, Roberto |
| author_facet | Buccio, Diego Donoghue, John F. Menezes, Gabriel Percacci, Roberto |
| contents | We calculate the scattering amplitude in the two dimensional $CP(1)$ model in a regularization scheme independent way. When using cutoff regularization, a new Feynman rule from the path integral measure is required if one is to preserve the symmetry. The physical running of the coupling with renormalization scale arises from a UV finite Feynman integral in all schemes. We reproduce the usual result with asymptotic freedom, but the pathway to obtaining the beta function can be different in different schemes. We also comment on the way that this model evades the classic argument by Landau against asymptotic freedom in non-gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13142 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Renormalization and running in the 2D $CP(1)$ model Buccio, Diego Donoghue, John F. Menezes, Gabriel Percacci, Roberto High Energy Physics - Theory High Energy Physics - Phenomenology We calculate the scattering amplitude in the two dimensional $CP(1)$ model in a regularization scheme independent way. When using cutoff regularization, a new Feynman rule from the path integral measure is required if one is to preserve the symmetry. The physical running of the coupling with renormalization scale arises from a UV finite Feynman integral in all schemes. We reproduce the usual result with asymptotic freedom, but the pathway to obtaining the beta function can be different in different schemes. We also comment on the way that this model evades the classic argument by Landau against asymptotic freedom in non-gauge theories. |
| title | Renormalization and running in the 2D $CP(1)$ model |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.13142 |