Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions
Mathematical Physics
2024-08-16 v1 math.MP
Probability
Abstract
We consider a class of non-linear supersymmetric hyperbolic sigma models with long-range interactions on boxes in and on a hierarchical lattice. We prove that the random field associated to a marginal in horospherical coordinates has asymptotically arbitrarily small fluctuations for large enough interactions, uniformly in the size of the boxes. This can be viewed as a strong version of spontaneous breaking of the Lorentz boost symmetry.
Keywords
Cite
@article{arxiv.2408.08136,
title = {Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions},
author = {Margherita Disertori and Franz Merkl and Silke W. W. Rolles},
journal= {arXiv preprint arXiv:2408.08136},
year = {2024}
}
Comments
27 pages, 2 figures. This manuscripts was obtained by splitting and updating arXiv:2305.07359v1 into this manuscript and arXiv:2305.07359v2