Journal Article

PUBDB-2022-00286

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Charging up the functional bootstrap

Ghosh, K. (Corresponding author) ; Kaviraj, A.DESY* ; Paulos, M. F.

2021
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP10(2021)116  doi:10.3204/PUBDB-2022-00286

Report No.: arXiv:2107.00041

Abstract: We revisit the problem of bootstrapping CFT correlators of charged fields. After discussing in detail how bounds for uncharged fields can be recycled to the charged case, we introduce two sets of analytic functional bases for correlators on the line. The first, which we call “simple”, is essentially a direct sum of analytic functionals for the uncharged case. We use it to establish very general bounds on the OPE density appearing in charged correlators. The second basis is dual to generalized free fields and we explain how it is related to a charged version of the Polyakov bootstrap. We apply these functionals to map out the space of correlators and obtain new improved bounds on the 3d Ising twist defect.

Keyword(s): field theory: conformal ; correlation function ; bootstrap ; operator product expansion ; defect ; twist ; Ising model ; dispersion relation ; O(N) ; AdS-CFT Correspondence ; Boundary Quantum Field Theory ; Conformal Field Theory

Note: 44 pages, 8 figures, typos corrected, minor details added, references added

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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. EXC 2121 - Das Quantisierte Universum (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2021

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

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