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Dynamics of the Conformal Mode and Simplicial Gravity
S. Catterall, E. Mottola, T. Bhattacharya
We review the derivation of the Liouville action in 2DQG via the trace anomaly and emphasize how a similar approach can be used to derive an effective action describing the long wa…
Fractal Geometry of Quantum Spacetime at Large Scales
Ignatios Antoniadis, Pawel O. Mazur, Emil Mottola
We compute the intrinsic Hausdorff dimension of spacetime at the infrared fixed point of the quantum conformal factor in 4D gravity. The fractal dimension is defined by the appropr…
The Quantum Vlasov Equation and its Markov Limit
Yuval Kluger, Emil Mottola, Judah M. Eisenberg
The adiabatic particle number in mean field theory obeys a quantum Vlasov equation which is nonlocal in time. For weak, slowly varying electric fields this particle number can be i…