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Paper   IPM / M / 16889
School of Mathematics
  Title:   Geometry and topology of anti-BRST symmetry in quantized Yang-Mills gauge theories
  Author(s):  Amir Abbas Varshovi
  Status:   Published
  Journal: Int. J. Geom. Methods Mod. Phys.
  Vol.:  19
  Year:  2022
  Pages:   1-20
  Supported by:  IPM
  Abstract:
The entire formulations of BRST and anti-BRST derivatives in presence of Nakanishi-Lautrup field are worked out through with a differential geometric framework. Following the achievements of [33] for strict gauges, it is shown that in general form of gauges within the Faddeev-Popov quantization approach the anti-BRST invariance reflects thoroughly the classical symmetry of Yang-Mills gauge theories with respect to different mechanisms of gauge fixing. The Nakanishi-Lautrup field is also defined and worked out as a geometric object. Topological structure of anti-BRST symmetry as the quantized version of classical gauge fixing invariance is also studied with comparison to that of BRST

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