The Affine-Metric Quantum Gravity with Extra Local Symmetries

Abstract

We discuss the role of additional local symmetries related to the transformations of connection fields in the affine-metric theory of gravity. The corresponding BRST transformations connected with all symmetries (general coordinate, local Lorentz and extra) are constructed. It is shown, that extra symmetries give the additional contribution to effective action which is proportional to the corresponding Nielsen-Kallosh ghost one. Some arguments are given, that there is no anomaly associated with extra local symmetries.

14 pages in LATEX (The version of paper accepted for publication in Class. Quant. Grav.)

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• Gauge and parametrization dependencies of the one-loop counterterms in the Einstein gravity.
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Cited by in corpus (5)

• Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?
• Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
• Scale-invariant gauge theories of gravity: theoretical foundations
• Detailed analysis of the dependence of the one-loop counterterms on the gauge and parametrization in the Einstein gravity with the cosmological constant
• BRST-antifield-treatment of metric-affine gravity