Boundary operator product expansion coefficients of the three-dimensional Ising universality class

Abstract

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising universality class in the presence of a surface, realizing the ordinary, the special, and the normal universality classes. By combining high-precision Monte Carlo simulations of an improved model, where leading scaling corrections are suppressed, with a finite-size scaling analysis informed by conformal field theory, we determine unbiased, accurate estimates of universal boundary operator product expansion coefficients of experimental relevance. Furthermore, we improve the value of the scaling dimension of the surface field at the special transition by the estimate ${\hat{\Delta }}_{\sigma }=0.3531(3)$.

37 pages, 1 figure, including Supplemental Material; v2: improved presentation, results unchanged

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Cited by in corpus (1)

• Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class