PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Theoretical Developments
Supersphere non-linear sigma model on the lattice
I. Costa*, V. Forini, B. Hoare, T. Meier, A. Patella and J.H. Weber
Full text: pdf
Pre-published on: January 05, 2023
Published on: April 06, 2023
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~$S^{N+2m-1|2m}\equiv \frac{OSP(N+2m|2m)}{OSP(N+2m-1|2m)}$. We briefly describe its renormalization properties and lattice discretization, and present a strategy for numerical simulations together with some preliminary numerical results.
DOI: https://doi.org/10.22323/1.430.0367
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