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- W3016563075 abstract "This thesis consists of three parts. In the rst part we review the quantizationof Yang-Mills theories and perturbative quantum gravity in curved spacetime.In the second part we calculate the Feynman propagators of the Faddeev-Popov ghosts for Yang-Mills theories and perturbative quantum gravity in thecovariant gauge. In the third part we investigate the physical equivalence ofcovariant Wightman graviton two-point function with the physical gravitontwo-point function.The Feynman propagators of the Faddeev-Popov ghosts for Yang-Millstheories and perturbative quantum gravity in the covariant gauge are infrared(IR) divergent in de Sitter spacetime. We point out, that if we regularizethese divergences by introducing a nite mass and take the zero mass limitat the end, then the modes responsible for these divergences will not contributeto loop diagrams in computations of time-ordered products in eitherYang-Mills theories or perturbative quantum gravity. We thus nd eectiveFeynman propagators for ghosts in Yang-Mills theories and perturbativequantum gravity by subtracting out these divergent modes.It is known that the covariant graviton two-point function in de Sitterspacetime is infrared divergent for some choices of gauge parameters. Onthe other hand it is also known that there are no infrared problems for thephysical graviton two-point function obtained by xing all gauge degreesof freedom, in global coordinates. We show that the covariant Wightmangraviton two-point function is equivalent to the physical one in the sensethat they result in the same two-point function of any local gauge-invariantquantity. Thus any infrared divergence in the Wightman graviton two-pointfunction in de Sitter spacetime can only be an gauge artefact." @default.
- W3016563075 created "2020-04-24" @default.
- W3016563075 creator A5010964218 @default.
- W3016563075 date "2009-10-27" @default.
- W3016563075 modified "2023-09-26" @default.
- W3016563075 title "Perturbative Quantum Gravity and Yang-Mills Theories in de Sitter Spacetime" @default.
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- W3016563075 hasPublicationYear "2009" @default.
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