Dimension and Dimensional Reduction in Quantum Gravity - INSPIRE

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Dimension and Dimensional Reduction in Quantum Gravity

S. Carlip
(
- UC, Davis
)

Mar 19, 2019

14 pages

Part of Proceedings, Quantum Fields - From Fundamental Concepts to Phenomenological Questions (QFT2018) : Mainz, Germany, September 26-28, 2018, 83

Published in:

Universe 5 (2019) 83

Contribution to:

- QFT2018
, 83

Published: Mar 19, 2019

e-Print:

1904.04379 [gr-qc]

DOI:

10.3390/universe5030083

View in:

ADS Abstract Service

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Abstract: (MDPI)

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.

Note:

For proceedings of the conference in honor of Martin Reuter: "Quantum Fields---From Fundamental Concepts to Phenomenological Questions"; 14 pages; based in part on my review article arXiv:1705.05417

quantum gravity
spacetime dimension
asymptotic safety
dimensional reduction
space-time: dimension
fixed point: ultraviolet
dimension: 2
dimensional reduction
quantum gravity
asymptotic safety

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