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Exact (symbolic, no sampling) Weingarten calculus for networks of Haar-random SO(m) matrices, via two structurally independent computation engines (a "cut and glue" symbolic surgery engine, and a "direct index sum" engine using union-find and bucket elimination). This is the reusable computational core extracted from a...
Exact (symbolic, no sampling) Weingarten calculus for networks of Haar-random SO(m) matrices, via two structurally independent computation engines (a "cut and glue" symbolic surgery engine, and a "direct index sum" engine using union-find and bucket elimination). This is the reusable computational core extracted from a...
Nissim (arXiv:2605.16162) proved that SO(3) lattice Yang-Mills theory at strong coupling fails Wilson's confinement criterion, via an explicit "tube" cluster in the cluster expansion whose leading contribution is computed exactly using third-moment identities for Haar(SO(3)). A natural question, raised explicitly in Ni...
Nissim (arXiv:2605.16162) proved that SO(3) lattice Yang-Mills theory at strong coupling fails Wilson's confinement criterion, via an explicit "tube" cluster in the cluster expansion whose leading contribution is computed exactly using third-moment identities for Haar(SO(3)). A natural question, raised explicitly in Ni...
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