{"title":"Kernel(J)警告假真空","authors":"M. Freedman","doi":"10.2140/GTM.2012.18.91","DOIUrl":null,"url":null,"abstract":"J H C Whitehead defined a map Jr W r .SO/! s r from the homotopy of the special orthogonal group to the stable homotopy of spheres. Within a toy model we show how the known computation for kernel.J / leads to nonlinear –models with spherical source (space) and spherical target which admit false vacua separated from the true vacuum by an energy barrier. In this construction, the dimension of space must be at least 8 and the dimension of the –model target at least 5 .","PeriodicalId":115248,"journal":{"name":"Geometry and Topology Monographs","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Kernel(J) warns of false vacua\",\"authors\":\"M. Freedman\",\"doi\":\"10.2140/GTM.2012.18.91\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"J H C Whitehead defined a map Jr W r .SO/! s r from the homotopy of the special orthogonal group to the stable homotopy of spheres. Within a toy model we show how the known computation for kernel.J / leads to nonlinear –models with spherical source (space) and spherical target which admit false vacua separated from the true vacuum by an energy barrier. In this construction, the dimension of space must be at least 8 and the dimension of the –model target at least 5 .\",\"PeriodicalId\":115248,\"journal\":{\"name\":\"Geometry and Topology Monographs\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry and Topology Monographs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/GTM.2012.18.91\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry and Topology Monographs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/GTM.2012.18.91","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
J H C怀特海定义了一张地图。从特殊正交群的同伦到球的稳定同伦。在一个玩具模型中,我们展示了已知的内核计算方法。J /导致具有球形源(空间)和球形目标的非线性模型,该模型通过能量势垒将假真空与真真空隔开。在这种构造中,空间的维度必须至少为8,模型目标的维度必须至少为5。
J H C Whitehead defined a map Jr W r .SO/! s r from the homotopy of the special orthogonal group to the stable homotopy of spheres. Within a toy model we show how the known computation for kernel.J / leads to nonlinear –models with spherical source (space) and spherical target which admit false vacua separated from the true vacuum by an energy barrier. In this construction, the dimension of space must be at least 8 and the dimension of the –model target at least 5 .