{"id":"openai-math/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model","pdf":"https://github.com/openai/math/blob/main/preprints/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026/exact-mass-o4.pdf","url":"https://github.com/openai/math/tree/main/preprints/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026","score":0,"title":"Exact mass asymptotics for the two-dimensional O(4) lattice model","domain":"Probability and statistical mechanics","family":"215","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"For the nearest-neighbor $`O(4)`$ model on the square lattice at inverse temperature β , we prove the exact low-temperature asymptotic $`\\displaystyle m_{\\mathrm{lat}}(\\beta)\\sim 32\\exp(\\pi/4-1/2)\\sqrt\\beta\\,\\exp(-\\pi\\beta) \\qquad (\\beta\\to\\infty).`$ Here the mass is the gap of the full Osterwalder–Schrader transfer operator, including rotation-invariant local-observable sectors, in units of one original lattice time step.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Canonical $`O(3)`$ continuum limit and exact $`O(4)`$ mass asymptotics"}