{"title":"花冠多项式:半边上的图多项式","authors":"D. Kreimer","doi":"10.22323/1.303.0068","DOIUrl":null,"url":null,"abstract":"The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"62 37","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"The corolla polynomial: a graph polynomial on half-edges\",\"authors\":\"D. Kreimer\",\"doi\":\"10.22323/1.303.0068\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial.\",\"PeriodicalId\":140132,\"journal\":{\"name\":\"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)\",\"volume\":\"62 37\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.303.0068\",\"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 Loops and Legs in Quantum Field Theory — PoS(LL2018)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.303.0068","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The corolla polynomial: a graph polynomial on half-edges
The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial.
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