{"id":30,"date":"2012-08-21T14:56:41","date_gmt":"2012-08-21T11:56:41","guid":{"rendered":"\/?p=30"},"modified":"2012-08-21T14:56:41","modified_gmt":"2012-08-21T11:56:41","slug":"thermodynamics-gravitational-anaomlies-and-cones","status":"publish","type":"post","link":"https:\/\/phsites.technion.ac.il\/strings\/thermodynamics-gravitational-anaomlies-and-cones\/","title":{"rendered":"Thermodynamics, gravitational anomalies and cones"},"content":{"rendered":"<p>It is usually taken for granted that the scheme we use to characterize distances will have no effect on our measurement. More formally, physical systems are invariant under coordinate transformations. As a result, the energy-momentum tensor is conserved. In a seminal <a title=\"Gravitaional anomalies\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/055032138490066X\">paper<\/a>,\u00a0Alvarez-Gaume and Witten have shown that coordinate transformations can become anomalous: due to quantum effects invariance under coordinate transformations is broken and the energy-momentum tensor is no longer conserved. This breaking of coordinate invariance is called a gravitational anomaly.<\/p>\n<p>In a recent <a title=\"Thermodynamics, gravitational anomalies and cones\" href=\"http:\/\/arxiv.org\/pdf\/1207.5824v1.pdf\">publication<\/a>, A. Yarom together with K. Jensen from the University of Victoria and R. Loganayagam from Harvard studied the impact of gravitational anomalies on thermodynamic behavior. Quite surprisingly, these anomalies affect the thermodynamic behavior of the system in a strikingly pronounced way than has been anticipated; the response of the equilibrated system to particular perturbations is controlled by the strength of gravitational anomalies. Gravitational anomalies, one of the most subtle effects of quantum mechanics, may play an important role in characterizing thermodynamic equilibria of various physical systems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It is usually taken for granted that the scheme we use to characterize distances will have no effect on our measurement. More formally, physical systems are invariant under coordinate transformations. As a result, the energy-momentum tensor is conserved. In a seminal paper,\u00a0Alvarez-Gaume and Witten have shown that coordinate transformations can become anomalous: due to quantum &hellip;<\/p>\n","protected":false},"author":15,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[2],"tags":[],"class_list":{"0":"post-30","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-papers","7":"entry"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Thermodynamics, gravitational anomalies and cones - Technion-Haifa University String Theory Group<\/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:\/\/phsites.technion.ac.il\/strings\/thermodynamics-gravitational-anaomlies-and-cones\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Thermodynamics, gravitational anomalies and cones - Technion-Haifa University String Theory Group\" \/>\n<meta property=\"og:description\" content=\"It is usually taken for granted that the scheme we use to characterize distances will have no effect on our measurement. More formally, physical systems are invariant under coordinate transformations. As a result, the energy-momentum tensor is conserved. In a seminal paper,\u00a0Alvarez-Gaume and Witten have shown that coordinate transformations can become anomalous: due to quantum &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/phsites.technion.ac.il\/strings\/thermodynamics-gravitational-anaomlies-and-cones\/\" \/>\n<meta property=\"og:site_name\" content=\"Technion-Haifa University String Theory Group\" \/>\n<meta property=\"article:published_time\" content=\"2012-08-21T11:56:41+00:00\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/thermodynamics-gravitational-anaomlies-and-cones\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/thermodynamics-gravitational-anaomlies-and-cones\\\/\"},\"author\":{\"name\":\"\",\"@id\":\"\"},\"headline\":\"Thermodynamics, gravitational anomalies and cones\",\"datePublished\":\"2012-08-21T11:56:41+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/thermodynamics-gravitational-anaomlies-and-cones\\\/\"},\"wordCount\":176,\"publisher\":{\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/#organization\"},\"articleSection\":[\"Papers\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/thermodynamics-gravitational-anaomlies-and-cones\\\/\",\"url\":\"https:\\\/\\\/phsites.technion.ac.il\\\/strings\\\/thermodynamics-gravitational-anaomlies-and-cones\\\/\",\"name\":\"Thermodynamics, gravitational anomalies and cones - 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