Johan Bijnens
Professor, Deputy Head of Division
Hilbert series and higher-order Lagrangians for the O(N) model
Author
Summary, in English
We compare the Hilbert series approach with explicit constructions of higher-order Lagrangians for the O(N) nonlinear sigma model. We use the Hilbert series to find the number and type of operators up to mass dimension 16, for spacetime dimension D up to 12 and N up to 12, and further classify the operators into spacetime parity and parity of the internal symmetry group O(N). The explicit construction of operators is done up to mass dimension 12 for both parities even and dimension 10 for the other three cases. The results of the two methods are in full agreement. This provides evidence for the Hilbert series conjecture regarding co-closed but not co-exact k-forms, which takes into account the integration-by-parts relations.
Department/s
- Particle and nuclear physics
Publishing year
2023-05
Language
English
Publication/Series
Journal of High Energy Physics
Volume
2023
Issue
5
Document type
Journal article
Publisher
Springer
Topic
- Subatomic Physics
Keywords
- Effective Field Theories
- Sigma Models
Status
Published
ISBN/ISSN/Other
- ISSN: 1029-8479