Renormalization and running in the 2D CP (1) model
A bstract 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. The results can be extended to the O ( N ) model, for all N . We also comment on the way that this model evades the classic argument by Landau against asymptotic freedom in non-gauge theories.
Authors
- Gabriel Menezes (ORCID: https://orcid.org/0000-0001-7838-3759)
- Diego Buccio (ORCID: https://orcid.org/0009-0002-9423-4029)
- Roberto Percacci (ORCID: https://orcid.org/0000-0002-3355-331X)
- John F. Donoghue (ORCID: https://orcid.org/0000-0001-7282-5894)
Institutions
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT)
- Universidade Estadual Paulista (Unesp) (BR)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-02-21
- DOI
- https://doi.org/10.1007/jhep02(2025)146
- Citations
- 3
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 5.61
Funders
- National Science Foundation
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro