规范场、纽结和引力

出版时间：2009-1  出版社：世界图书出版公司  作者：John C. Baez,Javier P. Muniain  页数：465  
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前言

Two of the most exciting developments of 20th century physics weregeneral relativity and quantum theory，the latter culminating in the'standard model'of particle interactions．General relativity treats grav-jty，while the standard model treats the rest of the forces of nature．Unfortunately,the two theories have not yet been assembled into asingle coherent picture of the world．In particular，we do not havea working theory of gravity that takes quantum theory into account．Attempting to'quantize gravity'has led to many fascinating develop-ments in mathematics and physics,but it remains a challenge for the21st century．The early 1980s were a time of tremendous optimism concerningstring theory．This theory was very ambitious,taking as its guidingphilosophy the idea that gravity could be quantized only by unilying itwith all the other forces．As the theory became immersed in ever morecomplicated technical issues without any sign of an immediate payoff intestable experimental predictions，some of this enthusiasm diminishedamong physicists．Ironically，at the same time，mathematicians foundstring theory an ever more fertile source of new ideas．A particularlyappealing development to mathematicians Was the discovery by Ed-ward Witten in the late 1980s that Chern-Simons theory-a quantumfield theory in 3 dimensions that arose as a spin一off of string theory-Was intimately related to the invariants of knots and links that hadrecently been discovered by Vaughan Jones and others．Quantum fieldtheory and 3-dimensional topology have become firmly bound togetherever since，although there iS much that remains mysterious about therelationship．

内容概要

The Series on Knots and Everything: is a book series polarized around the theory of knots. Volume 1 in the series is Louis H Kanffman's Knots and Physics.　　One purpose of this series is to continue the exploration of many of the themes indicated in Volume 1. These themes reach out beyond knot theory into physics, mathematics, logic, linguistics, philosophy, biology and practical experience. All of these outreaches have relations with knot theory when knot theory is regarded as a pivot or meeting place for apparently separate ideas. Knots act as such a pivotal place.We do not fully understand why this is so. The series represents stages in the exploration of this nexus.

作者简介

作者：(美国)约翰贝兹 (Baez.J.)

书籍目录

PrefaceI  Electromagnetism 1  Maxwell's Equations 2 Manifolds 3 Vector Fields 4 Differential Forms 5  Rewriting Maxwell's Equations 6 DeRham Theory in Electromagnetism Notes to Part III  Gauge Fields 1 Symmetry 2 Bundles and Connections 3  Curvature and the Yang-Mills Equation 4 Chern-Simons Theory 5  Link Invariants from Gauge Theory Notes to Part IIIII  Gravity 1  Semi-Riemannian Geometry 2  Einstein's Equation 3  Lagrangians for General Relativity  4  The ADM Formalism 5  The New VariablesNotes to Part IIIIndex

章节摘录

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《规范场、纽结和引力》由世界图书出版公司出版。

用户评论 (总计7条)

•   前面讲的很基本，主要是给学物理的写的，后面才是最精彩的地方：纽结不变量，gauge field
•   我从这一本书开始学习微分流形的。现在刚刚阅读完第一部分，因为物理和几何在这本书里被很好的结合起来，所以理解的比较容易，不象一般的纯粹的数学教科书。本书作者有写作的天赋，推荐给理论物理工作者使用。
•   我是数学专业的，这学期选了微分流形这门课，后来发现这书对微分流形相关概念的处理比我们上课用的那几本参考书都要更加清晰而优美。虽然说有一些比较细致的存在定理及其冗长的证明书上没有给出，但我想对于初学者而言，有一个清晰而正确的概念应该比学习那些让人困惑的技术细节更为重要吧。
•   A good preparation book for quantum gravity
•   这本书论述了很多理论物理用到的数学知识，而且是以一种物理学工作者可接受的方式。并且给出了相应的详细参考文献，结合相应的文献读下来会极大提升一个人的数理修养。
•   比起介绍性的knots内容，本书规范场数学框架部分写得更详细. Knots的内容有些少. 最後的正则引力量子化介绍还算中规中矩. 每章後面的参考文献有一定review作用. 整体再数学一些会更好.
•   不多说 绝对经典