{"title":"热核轨迹的非递归公式","authors":"A. Ivanov, N. V. Kharuk","doi":"10.1109/DD46733.2019.9016557","DOIUrl":null,"url":null,"abstract":"The Seeley–DeWitt coefficients of a heat kernel of Laplace operator satisfy a system of equations of a special form. In this paper we present a new non-recursive formula for the diagonal part of the solution of such recurrence system, which can be used for the Laplace operator with arbitrary smooth Riemann and gauge connections and a potential.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"145 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Non-recursive formula for trace of heat kernel\",\"authors\":\"A. Ivanov, N. V. Kharuk\",\"doi\":\"10.1109/DD46733.2019.9016557\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Seeley–DeWitt coefficients of a heat kernel of Laplace operator satisfy a system of equations of a special form. In this paper we present a new non-recursive formula for the diagonal part of the solution of such recurrence system, which can be used for the Laplace operator with arbitrary smooth Riemann and gauge connections and a potential.\",\"PeriodicalId\":319575,\"journal\":{\"name\":\"2019 Days on Diffraction (DD)\",\"volume\":\"145 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD46733.2019.9016557\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD46733.2019.9016557","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Seeley–DeWitt coefficients of a heat kernel of Laplace operator satisfy a system of equations of a special form. In this paper we present a new non-recursive formula for the diagonal part of the solution of such recurrence system, which can be used for the Laplace operator with arbitrary smooth Riemann and gauge connections and a potential.