Newtonian binding from lattice quantum gravity
Abstract
We study scalar fields propagating on Euclidean dynamical triangulations (EDTs). In this work, we study the interaction of two scalar particles, and we show that in the appropriate limit we recover an interaction compatible with Newton’s gravitational potential in four dimensions. Working in the quenched approximation, we calculate the binding energy of a two-particle bound state, and we study its dependence on the constituent particle mass in the nonrelativistic limit. We find a binding energy compatible with what one expects for the ground state energy by solving the Schrödinger equation for Newton’s potential. Agreement with this expectation is obtained in the infinite-volume, continuum limit of the lattice calculation, providing nontrivial evidence that EDT is in fact a theory of gravity in four dimensions. Furthermore, this result allows us to determine the lattice spacing within an EDT calculation for the first time, and we find that the various lattice spacings are smaller than the Planck length, suggesting that we can achieve a separation of scales and that there is no obstacle to taking a continuum limit. This lends further support to the asymptotic safety scenario for gravity.
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Syracuse Univ., NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1798006
- Alternate Identifier(s):
- OSTI ID: 1822429; OSTI ID: 1834546; OSTI ID: 1903108
- Report Number(s):
- FERMILAB-PUB-21-037-QIS-T; arXiv:2102.04492
Journal ID: ISSN 2470-0010; PRVDAQ; 114511
- Grant/Contract Number:
- SC0009998; SC0019139; AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; quantum gravity; lattice field theory; Monte Carlo methods
Citation Formats
Dai, Mingwei, Laiho, Jack, Schiffer, Marc, and Unmuth-Yockey, Judah. Newtonian binding from lattice quantum gravity. United States: N. p., 2021.
Web. doi:10.1103/PhysRevD.103.114511.
Dai, Mingwei, Laiho, Jack, Schiffer, Marc, & Unmuth-Yockey, Judah. Newtonian binding from lattice quantum gravity. United States. https://doi.org/10.1103/PhysRevD.103.114511
Dai, Mingwei, Laiho, Jack, Schiffer, Marc, and Unmuth-Yockey, Judah. Tue .
"Newtonian binding from lattice quantum gravity". United States. https://doi.org/10.1103/PhysRevD.103.114511.
@article{osti_1798006,
title = {Newtonian binding from lattice quantum gravity},
author = {Dai, Mingwei and Laiho, Jack and Schiffer, Marc and Unmuth-Yockey, Judah},
abstractNote = {We study scalar fields propagating on Euclidean dynamical triangulations (EDTs). In this work, we study the interaction of two scalar particles, and we show that in the appropriate limit we recover an interaction compatible with Newton’s gravitational potential in four dimensions. Working in the quenched approximation, we calculate the binding energy of a two-particle bound state, and we study its dependence on the constituent particle mass in the nonrelativistic limit. We find a binding energy compatible with what one expects for the ground state energy by solving the Schrödinger equation for Newton’s potential. Agreement with this expectation is obtained in the infinite-volume, continuum limit of the lattice calculation, providing nontrivial evidence that EDT is in fact a theory of gravity in four dimensions. Furthermore, this result allows us to determine the lattice spacing within an EDT calculation for the first time, and we find that the various lattice spacings are smaller than the Planck length, suggesting that we can achieve a separation of scales and that there is no obstacle to taking a continuum limit. This lends further support to the asymptotic safety scenario for gravity.},
doi = {10.1103/PhysRevD.103.114511},
journal = {Physical Review D},
number = 11,
volume = 103,
place = {United States},
year = {Tue Jun 22 00:00:00 EDT 2021},
month = {Tue Jun 22 00:00:00 EDT 2021}
}
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