Kuantum Ayar Alan Teorilerinin Kuantizasyonu ve Standart Model

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Gümüş, Mehmet Kemal

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Fen Bilimleri Enstitüsü

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The main purpose of this study is to review the quantization problem of gauge theories whichhave become the fundamental backbone in the modern physics. The quantization of gaugetheories, which are constrained systems, were considered in the frameworks of the canonicalquantization method of Dirac, and the Feynman’s path integral formalism, using Faddeev -Popov method, comparatively. The gauge fixing processes, which are the most important andsubtle issues in the quantization of gauge theories, were paid particular attention to. Although,these processes are extremely complex in the canonical formalism, they can be handled easilyand straightforwardly in the context of the Faddeev Popov method. These mathematical andaesthetical advantages have elevated the functional Path Integral Formalism and the Faddeev- Popov method to a central position in the area of field quantization.

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