Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
Visit our COVID19 information website to learn how Warriors protect Warriors.
Please note: The University of Waterloo is closed for all events until further notice.
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.
S  M  T  W  T  F  S 

27

28

29

30

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

31

Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.