Dimension and Dimensional Reduction in Quantum Gravity

Carlip, Steven

doi:10.3390/universe5030083

Title: Dimension and Dimensional Reduction in Quantum Gravity

Abstract

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.

Authors:

Carlip, Steven ^[1]

Univ. of California, Davis, CA (United States)

Publication Date:: Tue Mar 19 00:00:00 EDT 2019

Research Org.:: Univ. of California, Davis, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1595537

Grant/Contract Number:: FG02-91ER40674

Resource Type:: Accepted Manuscript

Journal Name:: Universe

Additional Journal Information:: Journal Volume: 5; Journal Issue: 3; Journal ID: ISSN 2218-1997

Publisher:: MDPI

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum gravity; dimensional reduction

Citation Formats


                    Carlip, Steven. Dimension and Dimensional Reduction in Quantum Gravity.  United States: N. p., 2019. 
Web.  doi:10.3390/universe5030083.

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                    Carlip, Steven. Dimension and Dimensional Reduction in Quantum Gravity.  United States.  https://doi.org/10.3390/universe5030083

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                    Carlip, Steven. Tue .  
"Dimension and Dimensional Reduction in Quantum Gravity".  United States.  https://doi.org/10.3390/universe5030083.  https://www.osti.gov/servlets/purl/1595537.

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@article{osti_1595537,

  title        = {Dimension and Dimensional Reduction in Quantum Gravity},

  author       = {Carlip, Steven},

  abstractNote = {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.},

  doi          = {10.3390/universe5030083},

  journal      = {Universe},

  number       = 3,

  volume       = 5,

  place        = {United States},

  year         = {Tue Mar 19 00:00:00 EDT 2019},

  month        = {Tue Mar 19 00:00:00 EDT 2019}

}

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https://doi.org/10.3390/universe5030083

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