{"id":927,"date":"2015-01-30T22:35:12","date_gmt":"2015-01-30T13:35:12","guid":{"rendered":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/"},"modified":"2015-01-30T22:35:12","modified_gmt":"2015-01-30T13:35:12","slug":"20141217_fleming","status":"publish","type":"seminar","link":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/","title":{"rendered":"Non-perturbative quantum field theory on curved manifolds"},"content":{"rendered":"<p>\nA challenging problem in quantum field theory is the study of conformal (or nearly-conformal) fixed points occurring in the non-perturbative regime of a quantum field theory.  Using radial quantization, computation on curved manifolds is essential. We propose a new approach called  Quantum Finite Elements (QFE), an extension of the usual Finite Element Method (FEM) to solving classical PDEs, where renormalization of couplings can play a key role in the restoration of rotational invariance.  Some aspects of our approach can be found in earlier work related to Regge calculus and lattice quantum gravity, as well as the random lattice approach of Christ, Friedberg and Lee.<\/p>\n","protected":false},"featured_media":0,"template":"","tags":[],"seminar_category":[53],"acf":{"s_now_accepting":true,"s_date_order":"2014-12-17 17:00:00","s_date_end":null,"s_date_text":"","s_text":"George Fleming","s_place":"KMI Science Symposia (ES635)","s_place_other":"","s_categoryother":"","s_poster":"","s_poster2":"<form mt:asset-id=\"864\" class=\"mt-enclosure mt-enclosure-image\" style=\"display: inline;\"><a href=\"\/eng\/seminar\/files\/images\/jungle_gym-rc-BB.jpg\">jungle_gym-rc-BB.jpg<\/a><\/form>","s_slide":"<form mt:asset-id=\"904\" class=\"mt-enclosure mt-enclosure-file\" style=\"display: inline;\"><a href=\"\/eng\/seminar\/files\/20141217_Fleming_slides.pdf\">20141217_Fleming_slides.pdf<\/a><\/form>"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Non-perturbative quantum field theory on curved manifolds - KMI - Nagoya University<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Non-perturbative quantum field theory on curved manifolds - KMI - Nagoya University\" \/>\n<meta property=\"og:description\" content=\"A challenging problem in quantum field theory is the study of conformal (or nearly-conformal) fixed points occurring in the non-perturbative regime of a quantum field theory. Using radial quantization, computation on curved manifolds is essential. We propose a new approach called Quantum Finite Elements (QFE), an extension of the usual Finite Element Method (FEM) to solving classical PDEs, where renormalization of couplings can play a key role in the restoration of rotational invariance. Some aspects of our approach can be &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/\" \/>\n<meta property=\"og:site_name\" content=\"KMI - Nagoya University\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/\",\"url\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/\",\"name\":\"Non-perturbative quantum field theory on curved manifolds - KMI - Nagoya University\",\"isPartOf\":{\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website\"},\"datePublished\":\"2015-01-30T13:35:12+00:00\",\"dateModified\":\"2015-01-30T13:35:12+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Seminars\",\"item\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Non-perturbative quantum field theory on curved manifolds\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website\",\"url\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/\",\"name\":\"KMI - Nagoya University\",\"description\":\"Nagoya University: Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI)\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Non-perturbative quantum field theory on curved manifolds - KMI - Nagoya University","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/927\/","og_locale":"en_US","og_type":"article","og_title":"Non-perturbative quantum field theory on curved manifolds - KMI - Nagoya University","og_description":"A challenging problem in quantum field theory is the study of conformal (or nearly-conformal) fixed points occurring in the non-perturbative regime of a quantum field theory. 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