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research article
Operator product expansion convergence in conformal field theory
2012
We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent in a finite region. We also show that the convergence is exponentially fast, in the sense that the operators of dimension above Delta contribute to correlation functions at most exp(-a Delta). Here the constant a > 0 depends on the positions of operator insertions and we compute it explicitly.
Type
research article
Web of Science ID
WOS:000311549300014
Authors
Publication date
2012
Publisher
Published in
Volume
86
Issue
10
Article Number
105043
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 27, 2013
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