2019/12/31 by Charlotte Sleight, Massimo Taronna
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Ambiguity #Amplitude #Decomposition #Matrix Theory and Algorithms #Operator product expansion #Protein Structure and Dynamics #Quantum many-body systems #Scaling #Space (punctuation) #Term (time) #Work (physics) #hep-th
paper · pdf · doi:10.1007/jhep11(2020)075
21 pages + appendices, 1 figure; v2: discussion on the relation with dispersion relations in Mellin space added, version to be published in JHEP
openalex created_date 2019/12/26 · openalex publication_date 2020/11/01 · arxiv created 2020/11/19 · arxiv updated 2021/03/17 · openalex updated_date 2026/08/05
A bstract In this work we present a closed form expression for Polyakov blocks in Mellin space for arbitrary spin and scaling dimensions. We provide a prescription to fix the contact term ambiguity uniquely by reducing the problem to that of fixing the contact term ambiguity at the level of cyclic exchange amplitudes — defining cyclic Polyakov blocks — in terms of which any fully crossing symmetric correlator can be decomposed. We also give another, equivalent, prescription which does not rely on a decomposition into cyclic amplitudes. We extract the OPE data of double-twist operators in the direct channel expansion of the cyclic Polyakov blocks using and extending the analysis of [1, 2] to include contributions that are non-analytic in spin. The relation between cyclic Polyakov blocks and analytic Bootstrap functionals is underlined.