Quantum Fields and Strings, Volume 2 英文原版 量子场与弦：数学家课程（卷二）(美国数学学会） Pierre Deligne

基本信息

Edited by Pierre Deligne , Edited by Pavel Etingof , Edited by Daniel S. Freed , Edited by Lisa C. Jeffrey , Edited by David Kazhdan , Edited by John W. Morgan , Edited by David R. Morrison , Edited by Edward Witten

Format Paperback | 800 pages

Dimensions 171.45 x 247.65 x 44.45mm | 1,383.46g

Publication date 30 Oct 1999

Publisher American Mathematical Society

Publication City/Country Providence, United States

Language English

ISBN10 0821820133

ISBN13 9780821820131

页面参数仅供参考，具体以实物为准

内容简介

Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. <P>In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: "The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra." <P>These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.

在过去的20年中，量子场论和弦论的思想对数学产生了相当大的影响。物理学的见识启发了许多不同领域的进步。<P>在1996-97年间，高级研究学院（新泽西州普林斯顿）举办了为期一年的特殊计划，旨在向数学家传授构成数学应用基础的基本物理思想。罗伯特·麦克弗森（Robert MacPherson）写了一封信，雄辩地阐明了这一目的：“目标是建立和传达对数学家而言基本的一些物理基本概念的理解，并且……那些习惯于思考几何和代数过程的物理学家。” <P>这些卷是程序的书面记录。它们包含几门长期和短期课程的笔记，涵盖了量子场论和微扰弦论的各个方面。这些课程由领先的物理学家授课，并且笔记由演讲者或参加该计划的数学家撰写。该书还包括编辑和其他主要参与者解决的问题和解决方案。散布的是带有背景材料的数学课本和对讲座中涉及的某些主题的评论。这两本书是针对该领域数学读者的首次真正全面的介绍。它们为数学家和数学物理学家提供了一个难得的机会，以了解量子场论和弦论的美丽而艰巨的主题。