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Yang-Mills Theory and Fermionic Path Integrals

机译:杨米尔斯理论与铁饼路径积分

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The Yang-Mills gauge field theory, which was proposed 60 years ago, is extremely successful in describing the basic interactions of fundamental particles. The Yang-Mills theory in the course of its developments also stimulated many important field theoretical machinery. In my talk I discuss the path integral techniques, in particular, the fermionic path integrals which were developed together with the successful applications of quantized Yang Mills field theory. I start with the Faddeev-Popov path integral formula with emphasis on the treatment of fermionic ghosts as an application of Grassmann numbers. I then discuss the ordinary fermionic path integrals and the general treatment of quantum anomalies. The contents of this talk are mostly pedagogical except for a recent analysis of path integral bosonization.
机译:60年前提出的阳厂仪表理论极为成功地描述基本颗粒的基本相互作用。杨工理论在其发展过程中也刺激了许多重要的实地理论机械。在我的谈话中,我讨论了与量化的阳磨场理论的成功应用一起开发的散差的路径积分。我从Faddeev-Popov路径一体化公式开始,重点是处理Fermionic Ghosts作为基地数量的应用。然后,我讨论普通的Fermionic路径积分和量子异常的一般治疗。这种谈话的内容大多是教学法,但最近对路径整体振动化的分析。

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