6533b7dbfe1ef96bd1270a1d

RESEARCH PRODUCT

Field Parametrization Dependence in Asymptotically Safe Quantum Gravity

Andreas Nink

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsConformal field theoryAsymptotic safety in quantum gravityFOS: Physical sciencesField (mathematics)General Relativity and Quantum Cosmology (gr-qc)Fixed pointGeneral Relativity and Quantum CosmologyFlow (mathematics)High Energy Physics - Theory (hep-th)Quantum mechanicsQuantum gravityCentral chargeParametrizationMathematical physics

description

Motivated by conformal field theory studies we investigate Quantum Einstein Gravity with a new field parametrization where the dynamical metric is basically given by the exponential of a matrix-valued fluctuating field, $g_{\mu\nu}=\bar{g}_{\mu\rho}(e^h)^\rho_{\nu}$. In this way, we aim to reproduce the critical value of the central charge when considering $2+\epsilon$ dimensional spacetimes. With regard to the Asymptotic Safety program, we take special care of possible fixed points and new structures of the corresponding RG flow in $d=4$ for both single- and bi-metric truncations. Finally, we discuss the issue of restoring background independence in the bi-metric setting.

10.1103/physrevd.91.044030http://arxiv.org/abs/1410.7816