The ordinary surface universality class of the three-dimensional O($N$) model

Abstract

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the leading bulk scaling correction is suppressed, and finite-size scaling analysis of the fourth cumulant of the surface magnetization, we obtain precise estimates of the scaling dimension of the surface field operator for $N=2,3,4$. We also determine the fixed-point values of two renormalization-group invariant observables, which characterize the finite-size scaling behavior at the ordinary transition.

arXiv comment11 pages, 3 figures; v2: matches published version; v3: corrected truncated conformal bootstrap value of mu_phi for O(4) in the supplemental material, other results unchanged

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Cited by in corpus (4)

• Extraordinary-log Universality of Critical Phenomena in Plane Defects
• Topological physics in quantum critical systems
• Universal finite-size scaling in the extraordinary-log boundary phase of three-dimensional $O(N)$ model
• Boundary operator product expansion coefficients of the three-dimensional Ising universality class