24小时热门版块排行榜

返回列表

当前主题已经存档。

当前只显示满足指定条件的回帖，点击这里查看本话题的所有回帖

maxman

木虫 (正式写手)

应助: 3 (幼儿园)
金币: 9259.1
散金: 5
帖子: 572
在线: 279.4小时
虫号: 117307
注册: 2005-11-26
专业: 凝聚态物性 II ：电子结构

[交流] Phase Transitions and Renormalisation Group

Phase Transitions and Renormalisation Group (Oxford Graduate Texts)
By Jean Zinn-Justin

--------------------------------------------------------------------------------

Publisher: Oxford University Press, USA
Number Of Pages: 464
Publication Date: 2007-08-30
ISBN-10 / ASIN: 0199227195
ISBN-13 / EAN: 9780199227198
Binding: Hardcover

--------------------------------------------------------------------------------

Book Description:

This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit requires the appearance of correlations at large distance, a situation that is encountered in second order phase transitions, near the critical temperature. In this context, we will emphasize the role of gaussian distributions and their relations with the mean field approximation and Landau's theory of critical phenomena. We will show that quasi-gaussian or mean-field approximations cannot describe correctly phase transitions in three space dimensions. We will assign this difficulty to the coupling of very different physical length scales, even though the systems we will consider have only local, that is, short range interactions. To analyze the unusual situation, a new concept is required: the renormalization group, whose fixed points allow understanding the universality of physical properties at large distance, beyond mean-field theory. In the continuum limit, critical phenomena can be described by quantum field theories. In this framework, the renormalization group is directly related to the renormalization process, that is, the necessity to cancel the infinities that arise in straightforward formulations of the theory. We thus discuss the renormalization group in the context of various relevant field theories. This leads to proofs of universality and to efficient tools for calculating universal quantities in a perturbative framework. Finally, we construct a general functional renormalization group, which can be used when perturbative methods are inadequate.

http://rapidshare.com/files/1020 ... roup_0199227195.rar

回复此楼