Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-13
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, To appear in the Proceedings of the March '95 Boston Conference on the Foundations of Quantum Field Theory
Scientific paper
Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories gives rise to a host of conceptual and technical difficulties because most of the familiar methods from axiomatic, constructive and perturbative quantum field theory are no longer applicable. Perhaps the most striking examples of these problems arise in the construction of a quantum field theory of geometry. We show that these problems can be tackled using new non-perturbative methods. In particular, one can rigorously define certain geometric operators and show that their spectrum is discrete. Thus, there is a precise sense in which the geometry is quantized at the Planck scale and the continuum picture is only a coarse-grained approximation.
Ashtekar Abhay
Lewandowski Jerzy
No associations
LandOfFree
Quantum Field Theory of Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Field Theory of Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Field Theory of Geometry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-450210