NDLI: Quantum scalar field in quantum gravity: the propagator and Lorentz invariance in the spherically symmetric case

Content Provider	Springer Nature Link
Author	Gambini, Rodolfo Pullin, Jorge Rastgoo, Saeed
Copyright Year	2011
Abstract	We recently studied gravity coupled to a scalar field in spherical symmetry using loop quantum gravity techniques. Since there are local degrees of freedom one faces the “problem of dynamics”. We attack it using the “uniform discretization technique”. We find the quantum state that minimizes the value of the master constraint for the case of weak fields and curvatures. The state has the form of a direct product of Gaussians for the gravitational variables times a modified Fock state for the scalar field. In this paper we do three things. First, we verify that the previous state also yields a small value of the master constraint when one polymerizes the scalar field in addition to the gravitational variables. We then study the propagators for the polymerized scalar field in flat space-time using the previously considered ground state in the low energy limit. We discuss the issue of the Lorentz invariance of the whole approach. We note that if one uses real clocks to describe the system, Lorentz invariance violations are small. We discuss the implications of these results in the light of Hořava’s Gravity at the Lifshitz point and of the argument about potential large Lorentz violations in interacting field theories of Collins et al.
Starting Page	3569
Ending Page	3592
Page Count	24
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	43
Issue Number	12
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2011-08-23
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Loop quantum gravity Scalar field Lorentz invariance Cosmology Astronomy, Astrophysics and Cosmology Quantum Physics Differential Geometry Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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