PreprintarXiv licencearXiv
Free energy of spherical vector spin glasses
Abstract
We identify the limit free energy of spherical vector spin glasses by a variational formula. The covariance function need not be convex. Using the global symmetry of the spin configurations, we introduce a family of constraint measures that gives a disintegration of the original spin distribution. We first identify the limit free energy of each constrained model and then apply the Laplace method to recover that of the original model.
Related
- Free energy of 2-spin spherical vector spin glasses
- Free energy of non-convex multi-species spherical spin glasses
- Convergence of the free energy of vector spin glasses with non-convex interactions
- A formula for the free energy of non-convex vector spin glasses
- Free energy of non-convex multi-species spin glasses with centered Ising spins
BibTeX
@misc{chen2026free,
title = {{Free energy of spherical vector spin glasses}},
author = {Hong-Bin Chen},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00710},
eprint = {2611.00710},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00710},
}
RIS
TY - UNPB
TI - Free energy of spherical vector spin glasses
AU - Hong-Bin Chen
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00710
UR - https://arxiv.org/abs/2611.00710
AB - We identify the limit free energy of spherical vector spin glasses by a variational formula. The covariance function need not be convex. Using the global symmetry of the spin configurations, we introduce a family of constraint measures that gives a disintegration of the original spin distribution. We first identify the limit free energy of each constrained model and then apply the Laplace method to recover that of the original model.
ER -