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dc.contributor.authorBrower, Richard C.en_US
dc.contributor.authorCogburn, Cameron V.en_US
dc.contributor.authorFitzpatrick, A. Liamen_US
dc.contributor.authorHowarth, Deanen_US
dc.contributor.authorTan, Chung-Ien_US
dc.date.accessioned2022-05-11T17:54:58Z
dc.date.available2022-05-11T17:54:58Z
dc.date.issued2021
dc.identifier.citationR.C. Brower, C.V. Cogburn, A.L. Fitzpatrick, D. Howarth, C.-.I. Tan. "Lattice setup for quantum field theory in AdS2." Physical Review D, Volume 103, Issue 9, https://doi.org/10.1103/physrevd.103.094507
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.urihttps://hdl.handle.net/2144/44387
dc.description.abstractHolographic conformal field theories (CFTs) are usually studied in a limit where the gravity description is weakly coupled. By contrast, lattice quantum field theory can be used as a tool for doing computations in a wider class of holographic CFTs where nongravitational interactions in AdS become strong, and gravity is decoupled. We take preliminary steps for studying such theories on the lattice by constructing the discretized theory of a scalar field in AdS 2 and investigating its approach to the continuum limit in the free and perturbative regimes. Our main focus is on finite sublattices of maximally symmetric tilings of hyperbolic space. Up to boundary effects, these tilings preserve the triangle group as a large discrete subgroup of AdS 2 , but have a minimum lattice spacing that is comparable to the radius of curvature of the underlying spacetime. We quantify the effects of the lattice spacing as well as the boundary effects, and find that they can be accurately modeled by modifications within the framework of the continuum limit description. We also show how to do refinements of the lattice that shrink the lattice spacing at the cost of breaking the triangle group symmetry of the maximally symmetric tilings.en_US
dc.languageen
dc.language.isoen_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.ispartofPhysical Review D
dc.rightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleLattice setup for quantum field theory in AdS2en_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.1103/physrevd.103.094507
pubs.elements-sourcecrossrefen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.organisational-groupBoston University, College of Engineeringen_US
pubs.organisational-groupBoston University, College of Engineering, Department of Electrical & Computer Engineeringen_US
pubs.publication-statusPublished onlineen_US
dc.date.online2021-05-14
dc.identifier.mycv501913


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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Except where otherwise noted, this item's license is described as Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.