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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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Lenguaje: | eng |
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2022
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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 |
record_format | invenio |
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 |