{"title":"Exact Relations between Running of αs and α in \\(\\mathcal{N}{\\mathbf{ = 1}}\\) SQCD + SQED","authors":"A. L. Kataev, K. V. Stepanyantz","doi":"10.1134/S0021364025600132","DOIUrl":null,"url":null,"abstract":"<p>In <span>\\(\\mathcal{N} = 1\\)</span> supersymmetric QCD and QED theory we derive the (all-order) exact equations relating the renormalization group behavior of the strong and electromagnetic couplings and prove that they are valid in the combined higher covariant derivative regularized and minimal subtraction of logarithms renormalized prescription. In particular, the <span>\\(\\beta \\)</span>-function of <span>\\(\\mathcal{N} = 1\\)</span> supersymmetric QCD can be expressed in terms of the Adler <i>D</i>-function. If all flavors have the same absolute value of the electromagnetic charges, it is also possible to write a simple relation between the <span>\\(\\beta \\)</span>-functions for the strong and electromagnetic coupling constants. In this particular case there is a special renormalization group invariant relation.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"121 5","pages":"315 - 319"},"PeriodicalIF":1.4000,"publicationDate":"2025-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0021364025600132","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In \(\mathcal{N} = 1\) supersymmetric QCD and QED theory we derive the (all-order) exact equations relating the renormalization group behavior of the strong and electromagnetic couplings and prove that they are valid in the combined higher covariant derivative regularized and minimal subtraction of logarithms renormalized prescription. In particular, the \(\beta \)-function of \(\mathcal{N} = 1\) supersymmetric QCD can be expressed in terms of the Adler D-function. If all flavors have the same absolute value of the electromagnetic charges, it is also possible to write a simple relation between the \(\beta \)-functions for the strong and electromagnetic coupling constants. In this particular case there is a special renormalization group invariant relation.
期刊介绍：
All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
