Journal Article

PUBDB-2023-04884

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Multipoint lightcone bootstrap from differential equations

Kaviraj, A.DESY* ; Mann, J. A. (Corresponding author)DESY* ; Quintavalle, L.DESY* ; Schomerus, V.DESY*

2023
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP08(2023)011  doi:10.3204/PUBDB-2023-04884

Report No.: ZMP-HH/22-21; arXiv:2212.10578

Abstract: One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for multiple-twist families can be obtained by extending the lightcone bootstrap to multipoint correlators. However, very little was known about multipoint lightcone blocks until now, in particular for OPE channels of comb topology. Here, we develop a systematic theory of lightcone blocks for arbitrary OPE channels based on the analysis of Casimir and vertex differential equations. Most of the novel technology is developed in the context of five- and six-point functions. Equipped with new expressions for lightcone blocks, we analyze crossing symmetry equations and compute OPE coefficients involving two double-twist operators that were not known before. In particular, for the first time, we are able to resolve a discrete dependence on tensor structures at large spin. The computation of anomalous dimensions for triple-twist families from six-point crossing equations will be addressed in a sequel to this work.

Keyword(s): n-point function: 6 ; symmetry: crossing ; operator product expansion ; bootstrap ; differential equations ; light cone ; anomalous dimension ; spin ; correlation function ; Casimir ; n-point function: 5 ; topology ; Scale and Conformal Symmetries ; Field Theories in Higher Dimensions ; Space-Time Symmetries ; Differential and Algebraic Geometry

Note: 86 pages, 6 figures, v2: extra comment in Sec. 5, minor corrections in Sec. 6

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850) (764850)
3. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Kaviraj, A.DESY* ; Mann, J. A. (Corresponding author)DESY* ; Quintavalle, L.DESY* ; Schomerus, V.DESY*
Multipoint Lightcone Bootstrap from Differential Equations
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