Sharp mass bounds for the two-dimensional O(4) model
We prove sharp mass bounds for the two-dimensional nearest-neighbor $O(4)$ model. For all sufficiently large inverse couplings β , the full transfer gap, including rotation-invariant local-observable sectors, is bounded above and below by positive multiples of $\sqrt\beta e^{-\pi\beta}$. We also prove that the model has a unique periodic local limit and a positive full gap at every finite β > 0, resolving the all-temperature lattice mass-generation conjecture for this periodic state. Under the stated cutoff scaling, the mass bounds are uniform in independently fixed physical units. A…
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