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.

Bastianelli F., Damia Paciarini M. (2024). Worldline path integrals for the graviton. CLASSICAL AND QUANTUM GRAVITY, 41(11), 1-20 [10.1088/1361-6382/ad3f69].

Worldline path integrals for the graviton

Bastianelli F.
;
2024

Abstract

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.
2024
Bastianelli F., Damia Paciarini M. (2024). Worldline path integrals for the graviton. CLASSICAL AND QUANTUM GRAVITY, 41(11), 1-20 [10.1088/1361-6382/ad3f69].
Bastianelli F.; Damia Paciarini M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/970954
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