Comments on epsilon expansion of the \(O(N)\) model with boundary

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Publication:6101195

DOI10.1007/JHEP03(2023)051arXiv2212.04078MaRDI QIDQ6101195

Author name not available (Why is that?)

Publication date: 31 May 2023

Published in: (Search for Journal in Brave)

Abstract: The O(N) vector model in the presence of a boundary has a non-trivial fixed point in (4epsilon) dimensions and exhibits critical behaviors described by boundary conformal field theory. The spectrum of boundary operators is investigated at the leading order in the epsilon-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.


Full work available at URL: https://arxiv.org/abs/2212.04078



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