Dimension and Dimensional Reduction in Quantum Gravity
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If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional. A number of independent lines of evidence, based on different approaches to quantization, indicate a similar short-distance dimensional reduction. I will review the evidence for this behavior, emphasizing the physical question of what one means by “dimension” in a quantum spacetime, and will discuss possible mechanisms that could explain the universality of this phenomenon.
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2013 ◽
Vol 28
(07)
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pp. 1350022
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2018 ◽
Vol 28
(04)
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pp. 1830011
1991 ◽
Vol 06
(15)
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pp. 2743-2754
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2003 ◽
Vol 12
(09)
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pp. 1633-1639
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2013 ◽
Vol 112
(9)
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pp. 1516-1519
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