{"title":"关于多粒子振幅的不连续","authors":"V. S. Fadin","doi":"10.1134/S0021364025608048","DOIUrl":null,"url":null,"abstract":"<p>Currently, a generally accepted and widely used property of multiparticle amplitudes is the absence of simultaneous amplitude discontinuities on energy invariants of overlapping channels. The Steinmann relations are used to substantiate this property. The paper shows the presence of such discontinuities and the illegality of using the Steinmann relations to prove their absence. The existence of discontinuities means that the currently accepted form of multi-Regge amplitudes is erroneous and it should be taken into account when deriving the BFKL (Balitsky–Fadin–Kuraev–Lipatov) equation in the following approximations.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"122 4","pages":"203 - 207"},"PeriodicalIF":1.3000,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S0021364025608048.pdf","citationCount":"0","resultStr":"{\"title\":\"On the Discontinuities of Multiparticle Amplitudes\",\"authors\":\"V. S. Fadin\",\"doi\":\"10.1134/S0021364025608048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Currently, a generally accepted and widely used property of multiparticle amplitudes is the absence of simultaneous amplitude discontinuities on energy invariants of overlapping channels. The Steinmann relations are used to substantiate this property. The paper shows the presence of such discontinuities and the illegality of using the Steinmann relations to prove their absence. The existence of discontinuities means that the currently accepted form of multi-Regge amplitudes is erroneous and it should be taken into account when deriving the BFKL (Balitsky–Fadin–Kuraev–Lipatov) equation in the following approximations.</p>\",\"PeriodicalId\":604,\"journal\":{\"name\":\"JETP Letters\",\"volume\":\"122 4\",\"pages\":\"203 - 207\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-10-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1134/S0021364025608048.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JETP Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0021364025608048\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0021364025608048","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}
On the Discontinuities of Multiparticle Amplitudes
Currently, a generally accepted and widely used property of multiparticle amplitudes is the absence of simultaneous amplitude discontinuities on energy invariants of overlapping channels. The Steinmann relations are used to substantiate this property. The paper shows the presence of such discontinuities and the illegality of using the Steinmann relations to prove their absence. The existence of discontinuities means that the currently accepted form of multi-Regge amplitudes is erroneous and it should be taken into account when deriving the BFKL (Balitsky–Fadin–Kuraev–Lipatov) equation in the following approximations.
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.