Lattice Gauge Theories: An Introduction, 4/e (Paperback)
暫譯: 格點規範理論:入門,第4版(平裝本)
Heinz J Rothe
- 出版商: World Scientific Pub
- 出版日期: 2012-05-25
- 售價: $1,250
- 貴賓價: 9.8 折 $1,225
- 語言: 英文
- 頁數: 628
- 裝訂: Paperback
- ISBN: 9814365866
- ISBN-13: 9789814365864
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<內容簡介>
This book provides a broad introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. Although the analytic calculations are sometimes quite demanding and go beyond an introduction, they are discussed in sufficient detail, so that the reader can fill in the missing steps. The book also introduces the reader to interesting problems which are currently under intensive investigation. Whenever possible, the main ideas are exemplified in simple models, before extending them to realistic theories. Special emphasis is placed on numerical results obtained from pioneering work. These are displayed in a great number of figures. Beyond the necessary amendments and slight extensions of some sections in the third edition, the fourth edition includes an expanded section on Calorons — a subject which has been under intensive investigation during the last twelve years.
Table Of Contents
* Introduction
* The Path Integral Approach to Quantization
* The Free Scalar Field on the Lattice
* Fermions on the Lattice
* Abelian Gauge Fields on the Lattice and Compact QED
* Non Abelian Gauge Fields on the Lattice Compact QCD
* The Wilson Loop and the Static Quark-Antiquark Potential
* The QQ--Potential in Some Simple Models
* The Continuum Limit of Lattice QCD
* Lattice Sum Rules
* The Strong Coupling Expansion
* The Hopping Parameter Expansion
* Weak Coupling Expansion (I). The Φ3-Theory
* Weak Coupling Expansion (II). Lattice QED
* Weak Coupling Expansion (III). Lattice QCD
* Monte Carlo Methods
* Some Results of Monte Carlo Calculations
* Path-Integral Representation of the Thermodynamical Partition Function for Some Solvable Bosonic and Fermionic Systems
* Finite Temperature Perturbation Theory Off and On the Lattice
* Non-Perturbative QCD at Finite Temperature
商品描述(中文翻譯)
內容簡介
本書提供了在時空格子上構建的量子場論的廣泛介紹,特別是量子色動力學(QCD)。它作為高級研究生的教科書,並為讀者提供了進行自主研究所需的分析和數值技術。儘管分析計算有時相當艱難,超出了入門的範疇,但這些內容都以足夠的細節進行討論,以便讀者能夠填補缺失的步驟。本書還向讀者介紹了當前正在深入研究的有趣問題。每當可能時,主要思想都會在簡單模型中進行示範,然後再擴展到現實理論。特別強調來自開創性工作的數值結果,這些結果在大量圖形中展示。除了對第三版某些部分進行必要的修訂和輕微擴展外,第四版還包括了擴展的卡羅隆(Caloron)部分——這是一個在過去十二年中受到深入研究的主題。
目錄
* 介紹
* 路徑積分量子化方法
* 格子上的自由標量場
* 格子上的費米子
* 格子上的阿貝爾規範場與緊湊量子電動力學(QED)
* 格子上的非阿貝爾規範場與緊湊量子色動力學(QCD)
* 威爾遜迴路與靜態夸克-反夸克勢能
* 在一些簡單模型中的QQ勢能
* 格子QCD的連續極限
* 格子求和規則
* 強耦合展開
* 跳躍參數展開
* 弱耦合展開(I)。Φ³理論
* 弱耦合展開(II)。格子量子電動力學(QED)
* 弱耦合展開(III)。格子量子色動力學(QCD)
* 蒙地卡羅方法
* 蒙地卡羅計算的一些結果
* 一些可解的玻色和費米系統的熱力學分配函數的路徑積分表示
* 有限溫度擾動理論(格子內外)
* 有限溫度下的非擾動QCD