Convergent momentum-space OPE and bootstrap equations in conformal field theory
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Publication:2191711
DOI10.1007/JHEP03(2020)102zbMATH Open1435.81073arXiv1912.05550OpenAlexW3011787950MaRDI QIDQ2191711
Author name not available (Why is that?)
Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: General principles of quantum field theory imply that there exists an operator product expansion (OPE) for Wightman functions in Minkowski momentum space that converges for arbitrary kinematics. This convergence is guaranteed to hold in the sense of a distribution, meaning that it holds for correlation functions smeared by smooth test functions. The conformal blocks for this OPE are conceptually extremely simple: they are products of 3-point functions. We construct the conformal blocks in 2-dimensional conformal field theory and show that the OPE in fact converges pointwise to an ordinary function in a specific kinematic region. Using microcausality, we also formulate a bootstrap equation directly in terms of momentum space Wightman functions.
Full work available at URL: https://arxiv.org/abs/1912.05550
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