Minimum length (scale) in quantum field theory, generalized uncertainty principle and the non-renormalisability of gravity

• DOI: 10.1016/j.physletb.2023.137722
• Publication Date: 2023-01-25T22:06:38Z
• Authors: Roberto Casadio; Wenbin Feng; Iberê Kuntz; Fabio Scardigli
• Keywords: Propagator; Length scale; Hořava–Lifshitz gravity; Planck length

The notions of minimum geometrical length and scale are discussed with reference to correlation functions obtained from in-in in-out amplitudes in quantum field theory. Whereas the propagator for metric perturbations does not admit former, Feynman shows emergence latter. A connection between theories gravity deformation parameter δ0 generalised uncertainty principle (GUP) is then exhibited, which allows determine an exact expression terms residues causal propagator. correspondence non-renormalisability (some) (of gravity) existence a conjectured support idea that non-renormalisable self-complete finite. role played by sign further considering implementation GUP on lattice.