Work

Loop Quantum Gravity Vacuum with Nondegenerate Geometry

Year: 2012

Type: article

Abstract: In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry.While this vacuum is singled out as fundamental due to its invariance properties, it is also important to consider states that describe non-degenerate geometries.Such states have features of Bose condensate ground states.We discuss their construction for the Lie algebra as well as the Weyl algebra setting, and point out possible applications in effective field theory, Loop Quantum Cosmology, as well as further generalizations.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2012.026

Author: Tim Koslowski

Institution: Perimeter Institute

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Government of Canada, Ministerio de Ciencia e Innovación, Institut Périmètre de physique théorique, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W2111486899