4.4 Editorial Material

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

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -

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SPRINGER
DOI: 10.1007/JHEP03(2023)051

关键词

Boundary Quantum Field Theory; Renormalization Group; Scale and Conformal Symmetries

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The O(N) vector model in the presence of a boundary exhibits critical behaviors described by boundary conformal field theory in (4 - epsilon) dimensions. We investigate the spectrum of boundary operators using diagrammatic and axiomatic approaches at the leading order in the epsilon-expansion. In both approaches, consistent results are obtained, emphasizing the analyticity of correlation functions for the conformal dimensions of boundary composite operators.
The O(N) vector model in the presence of a boundary has a non-trivial fixed point in (4 - epsilon) 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.

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