Supersphere non-linear sigma model on the lattice

2022/12/22 by Costa, Ilaria, Forini, Valentina, Hoare, Ben +3
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2212.11586

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~S^N+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.

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