Supersphere non-linear sigma model on the lattice

Costa, Ilaria; Forini, Valentina; Hoare, Ben; Meier, Tim; Patella, Agostino; Weber, Johannes Heinrich

Abstract

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~SN+2m−1|2m≡OSP(N+2m|2m)OSP(N+2m−1|2m) . We briefly describe its renormalization properties and lattice discretization, and present a strategy for numerical simulations together with some preliminary numerical results.

Citation

Costa, I., Forini, V., Hoare, B., Meier, T., Patella, A., & Weber, J. H. (2023). Supersphere non-linear sigma model on the lattice. . https://doi.org/10.22323/1.430.0367

• Conference Name: The 39th International Symposium on Lattice Field Theory
• Conference Location: Bonn, Germany
• Start Date: Aug 8, 2022
• End Date: Aug 13, 2022
• Online Publication Date: Apr 6, 2023
• Publication Date: 2023
• Deposit Date: May 16, 2023
• Publicly Available Date: May 17, 2023
• Publisher: Sissa Medialab
• Volume: 430
• Series Number: Theoretical Developments
• DOI: https://doi.org/10.22323/1.430.0367
• Related Public URLs: https://arxiv.org/abs/2212.11586