Newtonian binding from lattice quantum gravity

• Verfasst von: Dai, Mingwei [VerfasserIn]
• Verfasst von: Laiho, Jack [VerfasserIn]
• Verfasst von: Schiffer, Marc [VerfasserIn]
• Verfasst von: Unmuth-Yockey, Judah [VerfasserIn]
• Titel: Newtonian binding from lattice quantum gravity
• Verf.angabe: Mingwei Dai and Jack Laiho, Marc Schiffer, Judah Unmuth-Yockey
• E-Jahr: 2021
• Jahr: 22 June 2021
• Umfang: 15 S.
• Teil: volume:103
• Teil: year:2021
• Teil: number:11
• Teil: day:1
• Teil: month:06
• Teil: elocationid:114511
• Teil: pages:1-15
• Teil: extent:15
• Fussnoten: Gesehen am 20.08.2021
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2021
• Band/Heft Quelle: 103(2021), 11 vom: 1. Juni, Artikel-ID 114511, Seite 1-15
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.103.114511
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1767522584

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.