解析s矩阵的物理学

IF 23.9 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physics Reports Pub Date : 2023-11-10 DOI:10.1016/j.physrep.2023.10.006

Sebastian Mizera

{"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}

引用次数: 1

摘要

你可能听说过散射振幅的各种数学性质，如解析性、薄片、分支切割、不连续等。这一切意味着什么?在这些讲座中，我们将通过简单的散射问题进行引导，这将使我们能够直接将这些属性追溯到物理学。我们将学习s矩阵的不同解析特征是如何由因果关系、相互作用的局部性、酉传播等等所决定的。这些笔记是基于2023年春季在普林斯顿高等研究院和爱丁堡希格斯中心理论物理学院进行的一系列讲座。

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

Physics of the analytic S-matrix

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.

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

Physics Reports 物理-物理：综合

CiteScore

56.10

自引率

0.70%

发文量

102

审稿时长

9.1 weeks

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.