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Worldline path integrals for the graviton
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We present an extension to arbitrary dimensions of a worldline path integral approach to one-loop quantum gravity, which was previously formulated in four spacetime dimensions. By utilizing this method, we recalculate gauge invariant coefficients related to the UV divergences of quantum gravity. These gauge invariant coefficients were previously obtained in arbitrary dimensions through two alternative techniques: the quantization of the N=4 spinning particle that propagates the graviton on Einstein spaces and the more conventional heat kernel approach. Our worldline path integrals are closer to the latter method and are employed to compute the trace of the heat kernel.
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Cited by 1 Pith paper
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Generalized Wilson lines and the gravitational scattering of spinning bodies
A new generalized Wilson line representation for spin-1/2 and classical spinning bodies is derived, reproducing known 2PM gravitational scattering observables.
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