Preprint PUBDB-2023-05857

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A bootstrap study of minimal model deformations

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2023

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Report No.: DESY-23-141; arXiv:2401.06818

Abstract: For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional CFTs, focusing on deformations of the tricritical and ordinary Ising model. We provide non-perturbative constraints for the boundary correlation functions of these flows and compare them with conformal perturbation theory in the vicinity of the fixed points. We also reproduce a completely general constraint on the sign of the $T\bar T$ deformation in two dimensions.

Keyword(s): dimension, 2 ; renormalization group, flow ; model, minimal ; bootstrap, conformal ; field theory, conformal ; deformation ; correlation function ; fixed point ; Ising model ; anti-de Sitter ; perturbation theory ; field theory ; nonperturbative


Note: 43+37 pages, 22 figures+1 anteater

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. QFT.zip - Compressing many-body quantum states in continuous space-time with tensor networks (101040260) (101040260)
  3. QFTinAdS - The Bootstrap Program for Quantum Field Theory (101087025) (101087025)
  4. 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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OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
A bootstrap study of minimal model deformations
Journal of high energy physics 2024(5), 27 () [10.1007/JHEP05(2024)027]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2023-09-20, last modified 2024-07-07