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Supersphere non-linear sigma model on the lattice

Costa, I., Forini, V. ORCID: 0000-0001-9726-1423, Hoare, B. , Meier, T. B., Patella, A. & Weber, J. H. (2023). Supersphere non-linear sigma model on the lattice. In: The 39th International Symposium on Lattice Field Theory (LATTICE2022). 39th International Symposium on Lattice Field Theory, 8-13 Aug 2022, Bonn, Germany. doi: 10.22323/1.430.0367


Two-dimensional O(N) non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the supersphere (Equation presented). We briefly describe its renormalization properties and lattice discretization, and present a strategy for numerical simulations together with some preliminary numerical results.

Publication Type: Conference or Workshop Item (Paper)
Additional Information: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
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