Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories

Amir Abbass Varshovi

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arXiv · 2012.09822

Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories

Amir Abbass Varshovi

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Abstract

The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge fixing mechanisms within the Faddeev-Popov quantization approach, the antiBRST invariance reflects thoroughly the classical symmetry of the Yang-Mills theories with respect to gauge fixing methods. The Nakanishi-Lautrup field is also defined and worked out as a geometric object. This formulation helps us to introduce two absolutely new topological invariants of quantized Yang-Mills theories, so called the Nakanishi-Lautrup invariants. The cohomological structure of the anti-BRST symmetry is also studied and the anti-BRST topological index is derived accordingly.

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BibTeX RIS

Amir Abbass Varshovi. 2020-12-17. Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories. https://arxiv.org/abs/2012.09822

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