Non-Trivial Ultraviolet Fixed Point in Quantum Gravity

Details Non-Trivial Ultraviolet Fixed Point in Quantum Gravity Non-Trivial Ultraviolet Fixed Point in Quantum Gravity

1999-07-06

arxiv.org/abs/hep-th/9907027v1

Prog.Theor.Phys.102:181-195,1999

Physics

High Energy Physics

High Energy Physics - Theory

17 pages with 5 eps figures, to be published in Prog. Theor. Phys

Scientific paper

10.1143/PTP.102.181

The non-trivial ultraviolet fixed point in quantum gravity is calculated by means of the exact renormalization group equation in d-dimensions $(2\simeq d\leq4)$. It is shown that the ultraviolet non-Gaussian fixed point which is expected from the perturbatively $\epsilon$-expanded calculations in $2+\epsilon$ gravity theory remains in d=4. Hence it is possible that quantum gravity is an asymptotically safe theory and renormalizable in 2

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