Suppression of non-manifold-like sets in the causal set path integral
Abstract
While it is possible to build causal sets that approximate spacetime manifolds, most causal sets are not at all manifold-like. Here, we show that a Lorentzian path integral with the Einstein-Hilbert action has a phase in which one large class of non-manifold-like causal sets is strongly suppressed, and suggest a direction for generalization to other classes. While we cannot yet show our argument holds for all non-manifold-like sets, our results make it plausible that the path integral might lead to emergent manifold-like behavior with no need for further conditions.
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1595488
- Grant/Contract Number:
- FG02-91ER40674
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Classical and Quantum Gravity
- Additional Journal Information:
- Journal Volume: 35; Journal Issue: 2; Journal ID: ISSN 0264-9381
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; causal sets; quantum gravity; path integral; emergent spacetime
Citation Formats
Loomis, S. P., and Carlip, S. Suppression of non-manifold-like sets in the causal set path integral. United States: N. p., 2017.
Web. doi:10.1088/1361-6382/aa980b.
Loomis, S. P., & Carlip, S. Suppression of non-manifold-like sets in the causal set path integral. United States. https://doi.org/10.1088/1361-6382/aa980b
Loomis, S. P., and Carlip, S. Fri .
"Suppression of non-manifold-like sets in the causal set path integral". United States. https://doi.org/10.1088/1361-6382/aa980b. https://www.osti.gov/servlets/purl/1595488.
@article{osti_1595488,
title = {Suppression of non-manifold-like sets in the causal set path integral},
author = {Loomis, S. P. and Carlip, S.},
abstractNote = {While it is possible to build causal sets that approximate spacetime manifolds, most causal sets are not at all manifold-like. Here, we show that a Lorentzian path integral with the Einstein-Hilbert action has a phase in which one large class of non-manifold-like causal sets is strongly suppressed, and suggest a direction for generalization to other classes. While we cannot yet show our argument holds for all non-manifold-like sets, our results make it plausible that the path integral might lead to emergent manifold-like behavior with no need for further conditions.},
doi = {10.1088/1361-6382/aa980b},
journal = {Classical and Quantum Gravity},
number = 2,
volume = 35,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2017},
month = {Fri Dec 15 00:00:00 EST 2017}
}
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Works referencing / citing this record:
Towards coarse graining of discrete Lorentzian quantum gravity
journal, January 2018
- Eichhorn, Astrid
- Classical and Quantum Gravity, Vol. 35, Issue 4
Dimensionally restricted causal set quantum gravity: examples in two and three dimensions
journal, February 2020
- Cunningham, William J.; Surya, Sumati
- Classical and Quantum Gravity, Vol. 37, Issue 5
Dimensionally Restricted Causal Set Quantum Gravity: Examples in Two and Three Dimensions
text, January 2019
- Cunningham, William J.; Surya, Sumati
- arXiv
A criterion for covariance in complex sequential growth models
journal, September 2020
- Surya, Sumati; Zalel, Stav
- Classical and Quantum Gravity, Vol. 37, Issue 19
Entropy and the link action in the causal set path-sum
journal, December 2020
- Mathur, Abhishek; Singh, Anup Anand; Surya, Sumati
- Classical and Quantum Gravity, Vol. 38, Issue 4