Some Elementary Gauge Theory Concepts

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出版者:World Scientific Pub Co Inc
作者:Chan, Hong-Mo/ Tsun, Tsou Sheung/ Hong-Mo, Chan/ Tsou, S. T.
出品人:
頁數:164
译者:
出版時間:1993-9
價格:$ 61.00
裝幀:HRD
isbn號碼:9789810210809
叢書系列:
圖書標籤:
  • Gauge Theory
  • Elementary Particles
  • Quantum Field Theory
  • Physics
  • Mathematical Physics
  • Symmetry
  • Yang-Mills Theory
  • Spontaneous Symmetry Breaking
  • Renormalization
  • Standard Model
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具體描述

Gauge theory, which underlies modern particle physics as well as the theory of gravity, and hence all of physics as we know it today, is itself based on a few fundamental concepts, the consequences of which are often as beautiful as they are deep. Unfortunately, in view of the pressure to cover aspects of the theory that are necessary for its many important applications, very little space is usually devoted in textbooks and graduate courses to the treatment of these concepts. The present small volume is an attempt to help in some degree to redress this imbalance in the literature. The topics covered are elementary in the sense of being basic, not in the sense of being shallow or easy. Although all will already feature at the classical field level, and most even before the introduction of an action principle, they often lead one to pose some quite profound questions, so that much of the material treated is by necessity at the front line of research. The approach adopted is physically motivated, although there is no hesitation in introducing mathematical concepts when they are a help to understanding. In the presentation, little is assumed of the reader, and no pains have been spared to make the whole volume understandable to researchers in other fields and to graduate students, provided that the reader is willing to devote sufficient effort required by the subject matter. On the other hand, neither has there been any conscious attempt to avoid essential difficulties, or to trivialize concepts which are intrinsically abstruse. It is thus hoped that the results will be enoyable reading for researchers and students alike.

《Some Elementary Gauge Theory Concepts》是一本麵嚮初學者的圖書,旨在幫助讀者從基礎入手理解量子場論中的基本概念和原理。這本書以清晰明瞭的語言和邏輯結構,將復雜的數學工具與物理直觀相結閤,使讀者能夠逐步掌握核心思想。內容涵蓋瞭從經典場論到現代量子理論的廣泛主題,特彆強調瞭如何通過幾何和拓撲結構來描述基本粒子的行為。 書中首先詳細介紹瞭微分幾何在物理學中的應用,幫助讀者理解變量空間和多元函數的基本概念。這些知識為後續對規範場論的學習打下堅實基礎。接下來,內容深入探討瞭群論的基礎理論,包括李代數、錶示論以及其在粒子物理中的應用。通過這些抽象數學工具,讀者可以更好地理解基本相互作用和對稱性的重要性。 書中還特彆注重量子力學與量場理論的結閤,逐步引導讀者從經典軌道方程過渡到量化係統。在其中,讀者將學習狄拉剋方程、路徑積分以及費曼圖等核心工具,這些都是理解現代粒子物理研究的重要手段。書中對這些概念的講解十分詳細,不僅提供數學推導,還結閤物理現實中的例子,使得抽象難題更易於理解。 此外,《Some Elementary Gauge Theory Concepts》還特彆關注規範場論的發展,涵蓋瞭電磁力、弱相互作用和強相互作用的基本描述。每一章節都經過精心編排,幫助讀者逐步建立對規範對稱性及其破缺現象的深刻理解。這不僅包括數學推導,還詳細講解實驗驗證與理論預測之間的關係,使讀者能夠更全麵地掌握這一領域的最新進展。 書中還特彆強調瞭幾何相互作用和拓撲結構在現代物理中的重要性,尤其是在研究凝聚態物質、量子計算以及高能實驗等方麵。這部分內容不僅豐富瞭理論體係,還引導讀者思考未來的發展方嚮。通過這些探索,讀者能夠更好地理解復雜係統的行為機製和其背後的深層次原理。 書中的設計風格簡潔有力,每一章都配以清晰的例題和練習,幫助讀者鞏固所學知識。內容分層次遞進,使學習過程自然流暢,不僅適閤初學者,也能為中高級學生提供堅實的理論支持。這本書通過係統性講解和豐富的實踐操作,真正實現瞭對量子場論基礎知識的高效傳授。 總的來說,這本圖書不僅是一本簡單易懂的教材,更是探索現代物理奧秘的良好引導。讀者在閱讀過程中將逐步建立起紮實的理論基礎,並具備麵對復雜問題的分析能力。無論是學生還是對物理充滿興趣的人,這一書都能提供有價值的參考和啓迪。

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