Quantum Cosmology from Group Field Theory Condensates: a Review

Symmetry Integrability and Geometry-Methods and Applications

article

Steffen Gielen¹  Lorenzo Sindoni² 

[1] Blackett Laboratory, Imperial College London;Max Planck Institute for Gravitational Physics

关键词: group field theory;    quantum cosmology;    loop quantum gravity;   

DOI  :  10.3842/SIGMA.2016.082

来源: National Academy of Science of Ukraine

【 摘 要 】

We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field theory (GFT), based on the picture of a macroscopic universe as a ''condensate'' of a large number of quanta of geometry which are given by excitations of the GFT field over a ''no-space'' vacuum. We emphasise conceptual foundations, relations to other research programmes in GFT and the wider context of loop quantum gravity (LQG), and connections to the quantum physics of real Bose-Einstein condensates. We show how to extract an effective dynamics for GFT condensates from the microscopic GFT physics, and how to compare it with predictions of more conventional quantum cosmology models, in particular loop quantum cosmology (LQC). No detailed familiarity with the GFT formalism is assumed.

【 授权许可】

Unknown