Non-Trivial Ultraviolet Fixed Point in Quantum Gravity

Abstract

The non-trivial ultraviolet fixed point in quantum gravity is calculated by means of the exact renormalization group equation in d-dimensions $(2\simeq d\le 4)$. 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<d.

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

References in corpus (1)

• Exact evolution equation for the effective potential

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