TRAP conjecture for distribution-valued meromorphic germs
TRAP conjecture for distribution-valued meromorphic germs
Let denote the space of distribution-valued meromorphic germs with linear poles, and take the inductive limit over the number of variables. A TRAP is the structure consisting of horizontal concatenations, partial traces, and symmetric-group actions satisfying the TRAP axioms. TRAP conjecture. The inductive limit of the spaces of meromorphic germs with linear poles and values in distributions carries a TRAP structure. This is proposed as the algebraic framework for organizing regularised Feynman rules; the conjecture is not resolved in the source.
Sources & referencesView supporting material
Primary source
Pierre J. Clavier, “TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories”, arXiv:2506.09493 (2025).
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