2025/12/15 by K. B. Alkalaev, Alkalaev, K. B., Vladimir Khiteev +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2512.13484
We show that Feynman diagrams in AdS2 space can be decomposed into infinite series of matrix elements of Wilson line network operators. The case of the 3-point scalar Feynman diagram with endpoints in the bulk is studied in detail. The resulting decomposition is similar to the conformal block decomposition of Witten diagrams, i.e. it comprises a single-trace term and infinite sums of double-trace terms. We derive a number of AdS propagator identities which relate the standard bulk-to-bulk propagators with the modified bulk-to-bulk propagators of two different types responsible for extracting single-trace and double-trace terms.