双线性和四费米子算子通过时间矩的重整化

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-15 DOI:10.22323/1.363.0135

Tsutomu Ishikawa, K. Nakayama, S. Hashimoto

{"title":"双线性和四费米子算子通过时间矩的重整化","authors":"Tsutomu Ishikawa, K. Nakayama, S. Hashimoto","doi":"10.22323/1.363.0135","DOIUrl":null,"url":null,"abstract":"We propose a renormalization scheme that can be simply implemented on the lattice. It consists of the temporal moments of two-point and three-point functions calculated with finite valence quark mass. The scheme is confirmed to yield a consistent result with another renormalization scheme in the continuum limit for the bilinear operators. We apply a similar renormalization scheme for the non-perturbative renormalization of four-fermion operators appearing in the weak effective Hamiltonian.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Renormalization of bilinear and four-fermion operators through temporal moments\",\"authors\":\"Tsutomu Ishikawa, K. Nakayama, S. Hashimoto\",\"doi\":\"10.22323/1.363.0135\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a renormalization scheme that can be simply implemented on the lattice. It consists of the temporal moments of two-point and three-point functions calculated with finite valence quark mass. The scheme is confirmed to yield a consistent result with another renormalization scheme in the continuum limit for the bilinear operators. We apply a similar renormalization scheme for the non-perturbative renormalization of four-fermion operators appearing in the weak effective Hamiltonian.\",\"PeriodicalId\":147987,\"journal\":{\"name\":\"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.363.0135\",\"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 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.363.0135","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

我们提出了一种可以在晶格上简单实现的重整化方案。它由用有限价夸克质量计算的两点和三点函数的时间矩组成。在双线性算子的连续极限下，该格式与另一种重整化格式得到了一致的结果。对于出现在弱有效哈密顿量中的四费米子算子的非微扰重整化，我们应用了类似的重整化方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Renormalization of bilinear and four-fermion operators through temporal moments

We propose a renormalization scheme that can be simply implemented on the lattice. It consists of the temporal moments of two-point and three-point functions calculated with finite valence quark mass. The scheme is confirmed to yield a consistent result with another renormalization scheme in the continuum limit for the bilinear operators. We apply a similar renormalization scheme for the non-perturbative renormalization of four-fermion operators appearing in the weak effective Hamiltonian.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

自引率

0.00%

发文量