Geometric Foundations of Classical Yang-mills Theory
نویسنده
چکیده
We analyze the geometric foundations of classical YangMills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance – heuristically implemented by means of the gauge argument – is a direct consequence of internal relativity. Finally, we analyze the conceptual meaning of BRST symmetry in terms of the invariance of the gauge fixed theory under general local gauge transformations.
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