Minimal Length Scale Scenarios for Quantum Gravity

Details Minimal Length Scale Scenarios for Quantum Gravity Minimal Length Scale Scenarios for Quantum Gravity

2012-03-28

arxiv.org/abs/1203.6191v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

86 pages, prepared for Living Reviews in Relativity

Scientific paper

We review the question whether the fundamental laws of nature limit our ability to probe arbitrarily short distances. First, we examine what insights can be gained from thought experiments for probes of shortest distances, and summarize what can be learned from different approaches to a theory of quantum gravity. Then we discuss some models that have been developed to implement a minimal length scale into quantum mechanics and quantum field theory. These models have entered the literature under the names of generalized uncertainty principle or modified dispersion relation, and have allowed to study the effects of a minimal length scale in quantum mechanics, quantum electrodynamics, thermodynamics, black hole physics and cosmology. Finally, we touch upon the question if there are ways to circumvent the manifestation of a minimal length scale in short-distance physics.

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