• DOI:10.1103/PhysRevD.71.104033
• Corpus ID: 15799730

Quantized gauge-affine gravity in the superfiber bundle approach

@article{Meziane2004QuantizedGG,
  title={Quantized gauge-affine gravity in the superfiber bundle approach},
  author={A. Mohamed Meziane and Mohamed Tahiri},
  journal={Physical Review D},
  year={2004},
  volume={71}
}

• A. Meziane, M. Tahiri
• Published 24 August 2004
• Physics
• Physical Review D

The quantization of gauge-affine gravity within the superfiber bundle formalism is proposed. By introducing an even pseudotensorial 1-superform over a principal superfiber bundle with superconnection, we obtain the geometrical Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST transformations of the fields occurring in such a theory. Reducing the four-dimensional general affine group double-covering GA(4,R) to the Poincare group double-covering ISO(1,3) we also find the BRST and anti-BRST transformations of the fields present in Einstein's gravity. Furthermore, we give a prescription leading to the construction of both BRST-invariant gauge-fixing action for gauge-affine gravity and Einstein's gravity.