{"title":"论欧氏相关函数的 Prony 和 Lanczos 方法的等价性","authors":"J. Ostmeyer, A. Sen, C. Urbach","doi":"10.1140/epja/s10050-025-01495-8","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"61 2","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epja/s10050-025-01495-8.pdf","citationCount":"0","resultStr":"{\"title\":\"On the equivalence of Prony and Lanczos methods for Euclidean correlation functions\",\"authors\":\"J. Ostmeyer, A. Sen, C. Urbach\",\"doi\":\"10.1140/epja/s10050-025-01495-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach.</p></div>\",\"PeriodicalId\":786,\"journal\":{\"name\":\"The European Physical Journal A\",\"volume\":\"61 2\",\"pages\":\"\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-02-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1140/epja/s10050-025-01495-8.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal A\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epja/s10050-025-01495-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-025-01495-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach.
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