Quantum Field Theory : A Modern Perspective (Hardcover)

V. P. Nair

  • 出版商: Demos Medical Publis
  • 出版日期: 2005-03-09
  • 售價: $1,350
  • 貴賓價: 9.8$1,323
  • 語言: 英文
  • 頁數: 558
  • 裝訂: Hardcover
  • ISBN: 0387213864
  • ISBN-13: 9780387213866
  • 相關分類: 量子 Quantum
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Description

Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity.

 

Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject.

 

Table of contents

Results in Relativistic Quantum Mechanics.- The Construction of Fields.- Canonical Quantization.- Commutators and Propagators.- Interactions and the S-Matrix.- The Electromagnetic Field.- Examples of Scattering Processes.- Functional Integral Representations.- Renormalization.- Gauge Theories.- Symmetry.- Spontaneous Symmetry Breaking.- Anamolies I.- Elements of Differential Geometry.- Path Integrals.- Gauge Theory: Configuration Space.- Anamolies II.- Finite Temperatire and Density.- Gauge Theory: Nonperturbative Questions.- Elements of Geometric Quantization.- Appendix: Relativistic Invariance.



商品描述(中文翻譯)

描述

量子場論起源於量子力學的發現後不久,由保羅·狄拉克的工作開始,已經產生了一系列令人印象深刻且重要的結果。量子電動力學以其極其準確且經過充分測試的預測,以及電弱力和色動力學(核力)的標準模型,都是成功的理論。場論還應用於凝聚態物理中的各種現象,包括超導性、超流性和量子霍爾效應。重整化群的概念為我們提供了對場論和臨界現象的新視角。在這個階段,可以堅定地認為量子場論是描述和理解除了可能是重力的量子理論之外的所有物理現象的數學和智力框架。

《量子場論:現代觀點》是Nair教授對場論中某些主題的觀點,這些主題在哥倫比亞大學和CUNY市立學院的場論和粒子物理學課程中逐漸形成。前幾章,直到第12章,包含了通常在任何場論課程中涉及的材料,儘管讀者可能會發現與其他書籍不同的演示細節。這本書的第一部分可以用於一般的場論課程,可能省略第3章的最後三節,第8章的最後兩節以及第10章的第6和第7節。其餘章節涵蓋了過去三十年來的一些更現代的發展,涉及拓撲和幾何特徵。對於這部分討論的數學基礎的介紹必然是簡短的,應該與相關數學主題的書籍一起使用,如參考文獻中所示。Nair教授還專注於與更好理解標準模型有關的發展。書中沒有討論超對稱性、超引力、受弦理論啟發的場論發展等。也沒有詳細討論重整化群。每個這些主題都需要一本專門的書籍來充分涵蓋。《量子場論:現代觀點》作為進一步研究的許多詳細和持續研究主題的入口,引導讀者參考更詳細的專題。該書還包含廣泛的參考文獻,為讀者提供更全面的文獻和主題的歷史發展。

目錄

相對論量子力學中的結果-場的構造-規範化-交換子和傳播子-相互作用和S矩陣-電磁場-散射過程的例子-泛函積分表示-重整化-規範理論-對稱性-自發對稱破缺-異常I-微分幾何的要素-路徑積分-規範理論:配置空間-異常II-有限溫度和密度-規範理論:非微擾問題-幾何量子化的要素-附錄:相對論不變性。