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Hamiltonian truncation in AdS*

<!--HTML-->Anti-de Sitter spacetime is interesting for many reasons: of course it furnishes a canvas for the study of quantum gravity, but it also appears to be a fruitful setting for Hamiltonian truncation. After all, QFTs in AdS have a notion of conserved energy, their Hilbert spaces are wel...

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Autor principal: Hogervorst, Matthijs
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:http://cds.cern.ch/record/2810559
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author Hogervorst, Matthijs
author_facet Hogervorst, Matthijs
author_sort Hogervorst, Matthijs
collection CERN
description <!--HTML-->Anti-de Sitter spacetime is interesting for many reasons: of course it furnishes a canvas for the study of quantum gravity, but it also appears to be a fruitful setting for Hamiltonian truncation. After all, QFTs in AdS have a notion of conserved energy, their Hilbert spaces are well-understood, and even a hard energy cutoff preserves many spacetime symmetries. In this talk I will discuss this framework in detail and present some results on both scalar fields and 2d minimal models. In particular, I will discuss the issue of divergent counterterms that arise from the curvature of AdS, and present a prescription to extract the correct continuum limit. Based on work with M. Meineri, J. Penedones and K. Salehi Vaziri, arXiv:2104.10689. An introductory example in Python can be found at the attached link.
id cern-2810559
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
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spelling cern-28105592022-11-02T22:05:04Zhttp://cds.cern.ch/record/2810559engHogervorst, MatthijsHamiltonian truncation in AdS*Nonperturbative Methods in Quantum Field TheoryTH institutes<!--HTML-->Anti-de Sitter spacetime is interesting for many reasons: of course it furnishes a canvas for the study of quantum gravity, but it also appears to be a fruitful setting for Hamiltonian truncation. After all, QFTs in AdS have a notion of conserved energy, their Hilbert spaces are well-understood, and even a hard energy cutoff preserves many spacetime symmetries. In this talk I will discuss this framework in detail and present some results on both scalar fields and 2d minimal models. In particular, I will discuss the issue of divergent counterterms that arise from the curvature of AdS, and present a prescription to extract the correct continuum limit. Based on work with M. Meineri, J. Penedones and K. Salehi Vaziri, arXiv:2104.10689. An introductory example in Python can be found at the attached link.oai:cds.cern.ch:28105592022
spellingShingle TH institutes
Hogervorst, Matthijs
Hamiltonian truncation in AdS*
title Hamiltonian truncation in AdS*
title_full Hamiltonian truncation in AdS*
title_fullStr Hamiltonian truncation in AdS*
title_full_unstemmed Hamiltonian truncation in AdS*
title_short Hamiltonian truncation in AdS*
title_sort hamiltonian truncation in ads*
topic TH institutes
url http://cds.cern.ch/record/2810559
work_keys_str_mv AT hogervorstmatthijs hamiltoniantruncationinads
AT hogervorstmatthijs nonperturbativemethodsinquantumfieldtheory