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Johan Bijnens in front of his whiteboard

Johan Bijnens

Professor, Deputy Head of Division

Johan Bijnens in front of his whiteboard

Hilbert series and higher-order Lagrangians for the O(N) model

Author

  • Johan Bijnens
  • Sven Bjarke Gudnason
  • Jiahui Yu
  • Tiantian Zhang

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