2020/12/17 by Amir Abbass Varshovi, Varshovi, Amir Abbass · 1 citation
Materials Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Magnetism in coordination complexes
paper · pdf · doi:10.48550/arxiv.2012.09822
openalex publication_date 2020/12/17 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28
The entire geometric formulations of the BRST and the anti-BRST structures\nare worked out in presence of the Nakanishi-Lautrup field. It is shown that in\nthe general form of gauge fixing mechanisms within the Faddeev-Popov\nquantization approach, the antiBRST invariance reflects thoroughly the\nclassical symmetry of the Yang-Mills theories with respect to gauge fixing\nmethods. The Nakanishi-Lautrup field is also defined and worked out as a\ngeometric object. This formulation helps us to introduce two absolutely new\ntopological invariants of quantized Yang-Mills theories, so called the\nNakanishi-Lautrup invariants. The cohomological structure of the anti-BRST\nsymmetry is also studied and the anti-BRST topological index is derived\naccordingly.\n