{"id":6440,"date":"2022-01-11T00:00:00","date_gmt":"2022-01-11T08:00:00","guid":{"rendered":"https:\/\/www.hmc.edu\/physics\/research\/publications\/strongly-coupled-matrix-theory-and-stochastic-quantization-a-new-approach-to-holographic-dualities\/"},"modified":"2025-12-19T08:55:06","modified_gmt":"2025-12-19T16:55:06","slug":"strongly-coupled-matrix-theory-and-stochastic-quantization-a-new-approach-to-holographic-dualities","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/strongly-coupled-matrix-theory-and-stochastic-quantization-a-new-approach-to-holographic-dualities\/","title":{"rendered":"Strongly coupled matrix theory and stochastic quantization: A new approach to holographic dualities"},"content":{"rendered":"\n<p>Nick Heller, Vatche Sahakian*<\/p>\n\n\n\n<p><a href=\"https:\/\/journals.aps.org\/prd\/abstract\/10.1103\/PhysRevD.105.026012\">Strongly coupled matrix theory and stochastic quantization: A new approach to holographic dualities<\/a><\/p>\n\n\n\n<p>Physical Review D 105, 026012 (2022)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>Stochastic quantization provides an alternate approach to the computation of quantum observables, by stochastically sampling phase space in a path integral. Furthermore, the stochastic variational method can provide analytical control over the strong coupling regime of a quantum field theory\u2014provided one has a decent qualitative guess at the form of certain observables at strong coupling. In the context of the holographic duality, the strong coupling regime of a Yang-Mills theory can capture gravitational dynamics. This can provide enough insight to guide a stochastic variational ansatz. We demonstrate this in the bosonic Banks-Fischler-Shenker-Susskind matrix theory. We compute a two-point function at all values of the coupling using the variational method showing agreement with lattice numerical computations and capturing the confinement-deconfinement phase transition at strong coupling. This opens up a new realm of possibilities for exploring the holographic duality and emergent geometry.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nick Heller, Vatche Sahakian* Strongly coupled matrix theory and stochastic quantization: A new approach to holographic dualities Physical Review D [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[22],"class_list":["post-6440","physics_publications","type-physics_publications","status-publish","hentry","publication_author-sahakian"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications\/6440","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications"}],"about":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/types\/physics_publications"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/media?parent=6440"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=6440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}