{"title":"交理论与费曼积分的研究现状","authors":"Sebastian Mizera","doi":"10.22323/1.383.0016","DOIUrl":null,"url":null,"abstract":"We give a pedagogical review of the recently-introduced notion of a \"scalar product\" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix. (This article is a contribution to the proceedings of the workshop \"MathemAmplitudes 2019: Intersection Theory and Feynman Integrals\" held in Padova, Italy on 18-20 December 2019.)","PeriodicalId":173323,"journal":{"name":"Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)","volume":"225 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"36","resultStr":"{\"title\":\"Status of Intersection Theory and Feynman Integrals\",\"authors\":\"Sebastian Mizera\",\"doi\":\"10.22323/1.383.0016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a pedagogical review of the recently-introduced notion of a \\\"scalar product\\\" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix. (This article is a contribution to the proceedings of the workshop \\\"MathemAmplitudes 2019: Intersection Theory and Feynman Integrals\\\" held in Padova, Italy on 18-20 December 2019.)\",\"PeriodicalId\":173323,\"journal\":{\"name\":\"Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)\",\"volume\":\"225 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"36\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.383.0016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.383.0016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Status of Intersection Theory and Feynman Integrals
We give a pedagogical review of the recently-introduced notion of a "scalar product" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix. (This article is a contribution to the proceedings of the workshop "MathemAmplitudes 2019: Intersection Theory and Feynman Integrals" held in Padova, Italy on 18-20 December 2019.)