{"title":"具有李群结构的紧化时空上的QFT和白噪声中的费曼积分","authors":"J. Wawrzycki","doi":"10.1134/S0040577925040117","DOIUrl":null,"url":null,"abstract":"<p> We present a rigorous construction of the Feynman integral on the compactified Einstein Universe using white noise calculus. Our construction of functional averaging can also be thought of as a solution to a problem posed by Bogoliubov and Shirkov. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"223 1","pages":"671 - 689"},"PeriodicalIF":1.0000,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure\",\"authors\":\"J. Wawrzycki\",\"doi\":\"10.1134/S0040577925040117\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> We present a rigorous construction of the Feynman integral on the compactified Einstein Universe using white noise calculus. Our construction of functional averaging can also be thought of as a solution to a problem posed by Bogoliubov and Shirkov. </p>\",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":\"223 1\",\"pages\":\"671 - 689\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2025-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0040577925040117\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577925040117","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure
We present a rigorous construction of the Feynman integral on the compactified Einstein Universe using white noise calculus. Our construction of functional averaging can also be thought of as a solution to a problem posed by Bogoliubov and Shirkov.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.