{"title":"解析s矩阵的物理学","authors":"Sebastian Mizera","doi":"10.1016/j.physrep.2023.10.006","DOIUrl":null,"url":null,"abstract":"<div><p>You might have heard about various mathematical properties of scattering amplitudes such as analyticity, sheets, branch cuts, discontinuities, etc. What does it all mean? In these lectures, we will take a guided tour through simple scattering problems that will allow us to directly trace such properties back to physics. We will learn how different analytic features of the S-matrix are really consequences of causality, locality of interactions, unitary propagation, and so on.</p><p>These notes are based on a series of lectures given in Spring 2023 at the Institute for Advanced Study in Princeton and the Higgs Centre School of Theoretical Physics in Edinburgh.</p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1047 ","pages":"Pages 1-92"},"PeriodicalIF":23.9000,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0370157323003502/pdfft?md5=ac820a880f04ca0ee7ae0743019c1e73&pid=1-s2.0-S0370157323003502-main.pdf","citationCount":"1","resultStr":"{\"title\":\"Physics of the analytic S-matrix\",\"authors\":\"Sebastian Mizera\",\"doi\":\"10.1016/j.physrep.2023.10.006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>You might have heard about various mathematical properties of scattering amplitudes such as analyticity, sheets, branch cuts, discontinuities, etc. What does it all mean? In these lectures, we will take a guided tour through simple scattering problems that will allow us to directly trace such properties back to physics. We will learn how different analytic features of the S-matrix are really consequences of causality, locality of interactions, unitary propagation, and so on.</p><p>These notes are based on a series of lectures given in Spring 2023 at the Institute for Advanced Study in Princeton and the Higgs Centre School of Theoretical Physics in Edinburgh.</p></div>\",\"PeriodicalId\":404,\"journal\":{\"name\":\"Physics Reports\",\"volume\":\"1047 \",\"pages\":\"Pages 1-92\"},\"PeriodicalIF\":23.9000,\"publicationDate\":\"2023-11-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0370157323003502/pdfft?md5=ac820a880f04ca0ee7ae0743019c1e73&pid=1-s2.0-S0370157323003502-main.pdf\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Reports\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0370157323003502\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Reports","FirstCategoryId":"4","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0370157323003502","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
You might have heard about various mathematical properties of scattering amplitudes such as analyticity, sheets, branch cuts, discontinuities, etc. What does it all mean? In these lectures, we will take a guided tour through simple scattering problems that will allow us to directly trace such properties back to physics. We will learn how different analytic features of the S-matrix are really consequences of causality, locality of interactions, unitary propagation, and so on.
These notes are based on a series of lectures given in Spring 2023 at the Institute for Advanced Study in Princeton and the Higgs Centre School of Theoretical Physics in Edinburgh.
期刊介绍：
Physics Reports keeps the active physicist up-to-date on developments in a wide range of topics by publishing timely reviews which are more extensive than just literature surveys but normally less than a full monograph. Each report deals with one specific subject and is generally published in a separate volume. These reviews are specialist in nature but contain enough introductory material to make the main points intelligible to a non-specialist. The reader will not only be able to distinguish important developments and trends in physics but will also find a sufficient number of references to the original literature.
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