{"title":"欧几里得无质量相关器的No-$\\pi$定理","authors":"K. Chetyrkin, P. Baikov","doi":"10.22323/1.303.0008","DOIUrl":null,"url":null,"abstract":"We provide the reader with a (very) short review of recent advances in our understanding of the $\\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\\beta$-functions. We extend the considerations of [1] by one more loop, that is for the case of 6-loop correlators and 7-loop renormalization group (RG) functions.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"No-$\\\\pi$ Theorem for Euclidean Massless Correlators\",\"authors\":\"K. Chetyrkin, P. Baikov\",\"doi\":\"10.22323/1.303.0008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide the reader with a (very) short review of recent advances in our understanding of the $\\\\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\\\\beta$-functions. We extend the considerations of [1] by one more loop, that is for the case of 6-loop correlators and 7-loop renormalization group (RG) functions.\",\"PeriodicalId\":140132,\"journal\":{\"name\":\"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.303.0008\",\"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/10.22323/1.303.0008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
No-$\pi$ Theorem for Euclidean Massless Correlators
We provide the reader with a (very) short review of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\beta$-functions. We extend the considerations of [1] by one more loop, that is for the case of 6-loop correlators and 7-loop renormalization group (RG) functions.