Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity

Liegener K, Rudnicki L (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Classical and Quantum Gravity Institute of Physics: Hybrid Open Access

Book Volume: 38

Journal Issue: 20

DOI: 10.1088/1361-6382/ac226f

Abstract

Within the lattice approach to loop quantum gravity on a fixed graph, explicit calculations tend to be involved and are rarely analytically manageable. However, being focused on a particularly interesting setting, concerned with expectation values with respect to coherent states on the lattice (sharply peaked on isotropic and flat cosmology), we are able to provide several simplifications which can facilitate approaching beyond-state-of-the-art problems. We present a step-by-step algorithm resulting in an analytical expression including up-to-first-order corrections in the spread of the coherent state. The algorithm is developed in such a way that it makes the computation straightforward and easily implementable.

Authors with CRIS profile

Klaus Liegener Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

University of Gdańsk / Uniwersytet Gdański PL Poland (PL)

How to cite

APA:

Liegener, K., & Rudnicki, L. (2021). Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity. Classical and Quantum Gravity, 38(20). https://dx.doi.org/10.1088/1361-6382/ac226f

MLA:

Liegener, Klaus, and Lukasz Rudnicki. "Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity." Classical and Quantum Gravity 38.20 (2021).

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