The singular part of a one-loop four-point Witten diagram with a double-particle cut equals a product of tree-level subdiagram coefficients divided by a mean-field-theory coefficient.
Pseudo-local Theories: A Functional Class Proposal
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abstract
In this article, using the language of jet space, we propose a functional class space for pseudo-local functionals. We test this functional class proposal in a number of examples ranging from string-field-theory to AdS/CFT dualities. Implications of the locality proposal at the quartic order are also discussed.
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From bulk loops to boundary large-N expansion
The singular part of a one-loop four-point Witten diagram with a double-particle cut equals a product of tree-level subdiagram coefficients divided by a mean-field-theory coefficient.