**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Tuesday, May 2, 2017 — 10:00 AM EDT

MC 6334

Jason Pye , Applied Mathematics, University of Waterloo

On a Covariant Minimum Length for Quantum Field Theory

It has long been speculated that gravity may induce an effective minimum length in nature. It has also been entertained that such minimum length scale may provide a regulator for the many ultraviolet divergences that plague quantum field theory. Such a fundamental length scale is also an important ingredient in some approaches to quantum gravity. However, an issue with many models of such a minimum length scale is that they break the Lorentz symmetry of relativistic quantum field theories, which can lead to pathological behaviour of the theory not observed in nature.

Here we examine a model for a covariant version of a minimum length by introducing a covariant extension of the generalised uncertainty principle to quantum field theory. We find that it implies the theory will have a kind of covariant bandlimitation which cuts off quantum fluctuations near the minimum length scale. We then proceed to study the effect of this bandlimitation on flat and curved spacetimes, as well as consider to the implications for the gauge principle, interactions, as well as possible detection.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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