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Mass of quantum topological excitations and order parameter finite size dependence

Published 12 Sep 2023 in cond-mat.stat-mech and hep-th | (2309.06206v2)

Abstract: We consider the spontaneously broken regime of the $O(n)$ vector model in $d=n+1$ space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations we argue that the mass of the underlying topological quantum particle becomes infinite when $d\geq 4$.

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