Quantum field theory on LQC Bianchi spacetimes
Andrea Dapor, Jerzy Lewandowski, Yaser Tavakoli
TL;DR
This paper develops a quantum scalar field theory on LQC Bianchi I spacetimes, revealing an effective geometry that differs from classical but without Lorentz-violation when back-reaction is ignored.
Contribution
It introduces a quantum field theory framework on LQC Bianchi I backgrounds and demonstrates the emergence of an effective metric without Lorentz-violation.
Findings
An effective Bianchi I spacetime emerges from quantum field theory.
No Lorentz-violation occurs when back-reaction is neglected.
The effective metric differs from the classical Bianchi I metric.
Abstract
Quantum theory of a scalar field is developed on the LQC Bianchi I space-time. By comparing the the quantum field theory for a single mode on classical and quantum background geometries we find that an effective Bianchi I space-time emerges. We show that by disregarding the back-reaction no Lorentz-violation is present, despite the effective metric being different than the classical Bianchi I one.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories