{"id":1481,"date":"2023-05-10T14:56:17","date_gmt":"2023-05-10T06:56:17","guid":{"rendered":"https:\/\/blog.vanabel.cn\/blog\/2023\/05\/10\/the-yang-mills-higgs-functional-on-complex-line\/"},"modified":"2023-05-14T00:36:08","modified_gmt":"2023-05-13T16:36:08","slug":"the-yang-mills-higgs-functional-on-complex-line","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1481","title":{"rendered":"The Yang Mills Higgs functional on complex line&#8230;"},"content":{"rendered":"<p>The Yang-Mills-Higgs functional on complex line bundles: asymptotics for critical points<br \/>\nGiacomo Canevari, Federico Luigi Dipasquale, Giandomenico Orlandi<br \/>\nWe consider a gauge-invariant Ginzburg-Landau functional (also known as Abelian Yang-Mills-Higgs model) on Hermitian line bundles over closed Riemannian manifolds of dimension n\u22653. Assuming a logarithmic energy bound in the coupling parameter, we study the asymptotic behaviour of critical points in the non-self dual scaling, as the coupling parameter tends to zero. After a convenient choice of the gauge, we show compactness of finite-energy critical points in Sobolev norms. Moreover, \n","protected":false},"excerpt":{"rendered":"<p>The Yang-Mills-Higgs functional on complex line bundles&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1481\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">The Yang Mills Higgs functional on complex line&#8230;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"status","meta":{"footnotes":""},"categories":[248],"tags":[231,232,233,234,230,235],"class_list":["post-1481","post","type-post","status-publish","format-status","hentry","category-arxiv","tag-abelian-yang-mills-higgs","tag-asymptotic-behaviour","tag-compactness","tag-monotonicity-formula","tag-mustread","tag-rectifiable-varifold","post_format-post-format-status","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1481","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1481"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1481\/revisions"}],"predecessor-version":[{"id":1482,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1481\/revisions\/1482"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1481"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1481"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}