Abstract
The O(N) vector model in the presence of a boundary has a non-trivial fixed point in (4 − ϵ) dimensions and exhibits critical behaviors described by boundary conformal field theory. The spectrum of boundary operators is investigated at the leading order in the ϵ-expansion by diagrammatic and axiomatic approaches. In the latter, we extend the framework of Rychkov and Tan for the bulk theory to the case with a boundary and calculate the conformal dimensions of boundary composite operators with attention to the analyticity of correlation functions. In both approaches, we obtain consistent results.
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Nishioka, T., Okuyama, Y. & Shimamori, S. Comments on epsilon expansion of the O(N) model with boundary. J. High Energ. Phys. 2023, 51 (2023). https://doi.org/10.1007/JHEP03(2023)051
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DOI: https://doi.org/10.1007/JHEP03(2023)051