Geometry of Yang-Mills Fields 在線電子書 圖書標籤: 數學 微分幾何 Math Atiyah Geometry 英國 物理學 物理-場論
發表於2024-12-23
Geometry of Yang-Mills Fields 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
留下一個疑問:1979年YM場還沒成功量子化??
評分隨手翻翻,真想學明白還得讀paper
評分把一個簡單的環境下的復雜對象轉化為復雜環境下的簡單的對象。彭羅斯的扭結理論研究楊米爾斯到ward用復分析轉化,孤立子理論從復分析到代數幾何研究:四球上楊米爾斯方程自對偶的解對應投射空間上實代數叢,經典緊群下 孤立子有唯一的綫性代數錶示。概念可以抽象為代數,證明模式也可以抽象化。聯絡理解為縴維無窮小移動,而麯率理解為相移
評分把一個簡單的環境下的復雜對象轉化為復雜環境下的簡單的對象。彭羅斯的扭結理論研究楊米爾斯到ward用復分析轉化,孤立子理論從復分析到代數幾何研究:四球上楊米爾斯方程自對偶的解對應投射空間上實代數叢,經典緊群下 孤立子有唯一的綫性代數錶示。概念可以抽象為代數,證明模式也可以抽象化。聯絡理解為縴維無窮小移動,而麯率理解為相移
評分隨手翻翻,真想學明白還得讀paper
These Lecture Notes are an expanded version of the Fermi Lectures Atiyah gave at Scuola Normale Superiore in Pisa, the Loeb Lectures at Harvard and the Whittemore Lectures at Yale, in 1978. In all cases he was addressing a mixed audience of mathematicians and physicists and the presentation had to be tailored accordingly. Throughout, Atiyah presented the mathematical material in a somewhat unorthodox order, following a pattern which he felt would relate the new techniques to familiar ground for physicists.
The main new results presented in the lectures, namely the construction of all multi-istanton solutions of Yang-Mills fields, is the culmination of several years of fruitful interaction between many physicists and mathematicians. The major breakthrough came with the observation by Ward that the complex methods developed by Penrose in his “twistor programme” were ideally suited to the study of the Yang-Mills equations. The instanton problem was then seen to be equivalent to a problem in complex analysis and to one in algebraic geometry. Using the powerful methods of modern algebraic geometry it was not long before the problem was finally solved.
1948年的春天,物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持,与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘,主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...
評分1948年的春天,物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持,与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘,主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...
評分1948年的春天,物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持,与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘,主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...
評分1948年的春天,物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持,与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘,主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...
評分1948年的春天,物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持,与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘,主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...
Geometry of Yang-Mills Fields 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024