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Hamiltonian truncation in Anti-de Sitter spacetime

Hogervorst, Matthijs  
•
Meineri, Marco  
•
Penedones, Joao  
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August 16, 2021
Journal of High Energy Physics

Quantum Field Theories (QFTs) in Anti-de Sitter (AdS) spacetime are often strongly coupled when the radius of AdS is large, and few methods are available to study them. In this work, we develop a Hamiltonian truncation method to compute the energy spectrum of QFTs in two-dimensional AdS. The infinite volume of constant timeslices of AdS leads to divergences in the energy levels. We propose a simple prescription to obtain finite physical energies and test it with numerical diagonalization in several models: the free massive scalar field, phi(4) theory, Lee-Yang and Ising field theory. Along the way, we discuss spontaneous symmetry breaking in AdS and derive a compact formula for perturbation theory in quantum mechanics at arbitrary order. Our results suggest that all conformal boundary conditions for a given theory are connected via bulk renormalization group flows in AdS.

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JHEP08(2021)063.pdf

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Publisher's Version

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openaccess

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CC BY

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3.34 MB

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Adobe PDF

Checksum (MD5)

9b828fac82128143dbc0e1ac4facddf1

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