Journal Article

PUBDB-2024-07971

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Comb channel lightcone bootstrap: triple-twist anomalous dimensions

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

2024
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP08(2024)122  doi:10.3204/PUBDB-2024-07971

Report No.: DESY-24-012; arXiv:2401.10986

Abstract: We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist primaries are highly degenerate so that their anomalous dimension is encoded in a matrix. At large spin, the degeneracy becomes infinite and the matrix becomes an integral operator. We compute this integral operator by studying a particular non-planar crossing equation for six-point functions of scalar operators in a lightcone limit. The bootstrap analysis is based on new formulas for six-point lightcone blocks in the comb-channel. For a consistency check of our results, we compare them to perturbative computations in the epsilon expansion of $\phi^3$ and $\phi^4$ theory. In both cases, we find perfect agreement between perturbative results and bootstrap predictions. As a byproduct of our studies, we extend earlier work of Derkachov and Manashov to compute the anomalous dimension matrices of all triple-twist primaries in scalar $\phi^3$ and $\phi^4$ theory to first and second order in epsilon, respectively.

Keyword(s): operator: scalar ; n-point function: 6 ; anomalous dimension ; bootstrap ; spin: high ; crossing ; epsilon expansion ; phi**n model: 3 ; phi**n model: 4 ; operator: twist ; Scale and Conformal Symmetries ; Renormalization Group ; Space-Time Symmetries

Note: 83 pages, 6 figures; v2: Published version. Added more details in some text and equations. Added subsection 7.2.3

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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. EXACTC - Solving gauge theories in 4D: Exact correlation functions from integrability (865075) (865075)
3. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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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 Harris, S.DESY* ; Kaviraj, A.DESY* ; Mann, J. A. ; Quintavalle, L. (Corresponding author)DESY* ; Schomerus, V.DESY*
Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions
[10.3204/PUBDB-2024-00294]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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