Dimensional reduction in manifoldlike causal sets
Abstract
We investigate the behavior of small subsets of causal sets that approximate Minkowski space in three, four, and five dimensions, and show that their effective dimension decreases smoothly at small distances. The details of the short distance behavior depend on a choice of dimensional estimator, but for a reasonable version of the Myrheim-Meyer dimension, the minimum dimension is d ≈ 2 , reproducing results that have been seen in other approaches to quantum gravity.
- Authors:
-
- Univ. of California, Davis, CA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1595490
- Alternate Identifier(s):
- OSTI ID: 1425238
- Grant/Contract Number:
- FG02-91ER40674
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum gravity, causal sets, dimensional reduction
Citation Formats
Abajian, J., and Carlip, S. Dimensional reduction in manifoldlike causal sets. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.066007.
Abajian, J., & Carlip, S. Dimensional reduction in manifoldlike causal sets. United States. https://doi.org/10.1103/PhysRevD.97.066007
Abajian, J., and Carlip, S. Thu .
"Dimensional reduction in manifoldlike causal sets". United States. https://doi.org/10.1103/PhysRevD.97.066007. https://www.osti.gov/servlets/purl/1595490.
@article{osti_1595490,
title = {Dimensional reduction in manifoldlike causal sets},
author = {Abajian, J. and Carlip, S.},
abstractNote = {We investigate the behavior of small subsets of causal sets that approximate Minkowski space in three, four, and five dimensions, and show that their effective dimension decreases smoothly at small distances. The details of the short distance behavior depend on a choice of dimensional estimator, but for a reasonable version of the Myrheim-Meyer dimension, the minimum dimension is d ≈ 2 , reproducing results that have been seen in other approaches to quantum gravity.},
doi = {10.1103/PhysRevD.97.066007},
journal = {Physical Review D},
number = 6,
volume = 97,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2018},
month = {Thu Mar 01 00:00:00 EST 2018}
}
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Works referenced in this record:
Fractal spacetime from the area spectrum
journal, November 2009
- Modesto, Leonardo
- Classical and Quantum Gravity, Vol. 26, Issue 24
Quantum spectral dimension in quantum field theory
journal, April 2016
- Calcagni, Gianluca; Modesto, Leonardo; Nardelli, Giuseppe
- International Journal of Modern Physics D, Vol. 25, Issue 05
Spectral dimension of a quantum universe
journal, May 2010
- Modesto, Leonardo; Nicolini, Piero
- Physical Review D, Vol. 81, Issue 10
The class of continuous timelike curves determines the topology of spacetime
journal, July 1977
- Malament, David B.
- Journal of Mathematical Physics, Vol. 18, Issue 7
Spontaneous Dimensional Reduction in Short-Distance Quantum Gravity?
conference, January 2009
- Carlip, Steven; Kowalski-Glikman, Jerzy; Durka, R.
- THE PLANCK SCALE: Proceedings of the XXV Max Born Symposium, AIP Conference Proceedings
Ultraviolet fixed point and generalized flow equation of quantum gravity
journal, December 2001
- Lauscher, O.; Reuter, M.
- Physical Review D, Vol. 65, Issue 2
What is the dimension of citation space?
journal, April 2016
- Clough, James R.; Evans, Tim S.
- Physica A: Statistical Mechanics and its Applications, Vol. 448
Spontaneous dimensional reduction in quantum gravity
journal, October 2016
- Carlip, S.
- International Journal of Modern Physics D, Vol. 25, Issue 12
Spectral dimension from nonlocal dynamics on causal sets
journal, February 2016
- Belenchia, Alessio; Benincasa, Dionigi M. T.; Marcianò, Antonino
- Physical Review D, Vol. 93, Issue 4
Dimension and dimensional reduction in quantum gravity
journal, September 2017
- Carlip, S.
- Classical and Quantum Gravity, Vol. 34, Issue 19
Echoes of asymptotic silence in causal set quantum gravity
journal, July 2017
- Eichhorn, Astrid; Mizera, Sebastian; Surya, Sumati
- Classical and Quantum Gravity, Vol. 34, Issue 16
Space-time as a causal set
journal, August 1987
- Bombelli, Luca; Lee, Joohan; Meyer, David
- Physical Review Letters, Vol. 59, Issue 5
Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations
journal, March 2015
- Coumbe, D. N.; Jurkiewicz, J.
- Journal of High Energy Physics, Vol. 2015, Issue 3
Spacetime with zero point length is two-dimensional at the Planck scale
journal, April 2016
- Padmanabhan, T.; Chakraborty, Sumanta; Kothawala, Dawood
- General Relativity and Gravitation, Vol. 48, Issue 5
The Spectral Dimension of the Universe is Scale Dependent
journal, October 2005
- Ambjørn, J.; Jurkiewicz, J.; Loll, R.
- Physical Review Letters, Vol. 95, Issue 17
Manifold dimension of a causal set: Tests in conformally flat spacetimes
journal, January 2003
- Reid, David D.
- Physical Review D, Vol. 67, Issue 2
The Hagedorn transition and the number of degrees of freedom of string theory
journal, December 1988
- Atick, Joseph J.; Witten, Edward
- Nuclear Physics B, Vol. 310, Issue 2
Towards a definition of locality in a manifoldlike causal set
journal, December 2013
- Glaser, Lisa; Surya, Sumati
- Physical Review D, Vol. 88, Issue 12
Dimensional reduction in causal set gravity
journal, November 2015
- Carlip, S.
- Classical and Quantum Gravity, Vol. 32, Issue 23
On the UV Dimensions of Loop Quantum Gravity
journal, January 2016
- Ronco, Michele
- Advances in High Energy Physics, Vol. 2016
High energy modifications of blackbody radiation and dimensional reduction
journal, July 2013
- Husain, Viqar; Seahra, Sanjeev S.; Webster, Eric J.
- Physical Review D, Vol. 88, Issue 2
On the ultraviolet behaviour of Newton's constant
journal, October 2004
- Percacci, Roberto; Perini, Daniele
- Classical and Quantum Gravity, Vol. 21, Issue 22
Lattice quantum gravity and asymptotic safety
journal, September 2017
- Laiho, J.; Bassler, S.; Coumbe, D.
- Physical Review D, Vol. 96, Issue 6
Super-renormalizable quantum gravity
journal, August 2012
- Modesto, Leonardo
- Physical Review D, Vol. 86, Issue 4
Discrete geometry of a small causal diamond
journal, February 2013
- Roy, Mriganko; Sinha, Debdeep; Surya, Sumati
- Physical Review D, Vol. 87, Issue 4
Discreteness Without Symmetry Breaking: a Theorem
journal, October 2009
- Bombelli, Luca; Henson, Joe; Sorkin, Rafael D.
- Modern Physics Letters A, Vol. 24, Issue 32
Works referencing / citing this record:
Induced spatial geometry from causal structure
journal, April 2019
- Eichhorn, Astrid; Surya, Sumati; Versteegen, Fleur
- Classical and Quantum Gravity, Vol. 36, Issue 10
Discrete spacetime: a web of chains
journal, August 2019
- Aghili, M.; Bombelli, L.; Pilgrim, B. B.
- Classical and Quantum Gravity, Vol. 36, Issue 18
Spectral dimension on spatial hypersurfaces in causal set quantum gravity
journal, November 2019
- Eichhorn, Astrid; Surya, Sumati; Versteegen, Fleur
- Classical and Quantum Gravity, Vol. 36, Issue 23
Discrete Spacetime: a Web of Chains
text, January 2019
- Aghili, Miremad; Bombelli, Luca; Pilgrim, Benjamin
- Unpublished