Quantized gauge-affine gravity in the superfiber bundle approach

Journal Article · Sun May 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.104033· OSTI ID:20709297

Meziane, A; Tahiri, M ^[1]

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1. Laboratoire de Physique Theorique, Universite d'Oran Es-senia, 31100 Oran (Algeria)

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.

• OSTI ID: 20709297
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 10; Other Information: DOI: 10.1103/PhysRevD.71.104033; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EINSTEIN FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATION
POINCARE GROUPS
QUANTIZATION
QUANTUM GRAVITY
SUPERSYMMETRY
TRANSFORMATIONS