A Note on Quantum Field Theories with a Minimal Length Scale

Details A Note on Quantum Field Theories with a Minimal Length Scale A Note on Quantum Field Theories with a Minimal Length Scale

2007-12-17

arxiv.org/abs/0712.2811v1

Class.Quant.Grav.25:038003,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0264-9381/25/3/038003

The aim of this note is to address the low energy limit of quantum field theories with a minimal length scale. The essential feature of these models is that the minimal length acts as a regulator in the asymptotic high energy limit which is incorporated through an infinite series of higher order derivatives. If one investigates a perturbative expansion in inverse powers of the Planck mass, one generically obtains extra poles in the propagator, and instabilities connected with the higher order derivative Lagrangian, that are however artifacts of truncating the series.

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