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Large quantum gravity effects: Unexpected limitations of the classical theory
Abhay Ashtekar
3-dimensional gravity coupled to Maxwell (or Klein-Gordon) fields is exactly soluble under the assumption of axi-symmetry. The solution is used to probe several quantum gravity iss…
Behavior of Einstein-Rosen Waves at Null Infinity
Abhay Ashtekar, Jiri Bicak, Bernd G. Schmidt
The asymptotic behavior of Einstein-Rosen waves at null infinity in 4 dimensions is investigated in {\it all} directions by exploiting the relation between the 4-dimensional space-…
Photon inner product and the Gauss linking number
Abhay Ashtekar, Alejandro Corichi
It is shown that there is an interesting interplay between self-duality, loop representation and knots invariants in the quantum theory of Maxwell fields in Minkowski space-time. S…
Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I
A. Ashtekar, M. Pierri
It is well-known that the Einstein-Rosen solutions to the 3+1 dimensional vacuum Einstein's equations are in one to one correspondence with solutions of 2+1 dimensional general rel…
Closed formula for Wilson loops for Quantum Yang-Mills Theory in two dimensions
Abhay Ashtekar, Jurek Lewandowski, Donald Marolf +2
A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups and and space-time topologies $\Rl^1…
Quantum Field Theory of Geometry
Abhay Ashtekar, Jerzy Lewandowski
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 abs…
Polymer Geometry at Planck Scale and Quantum Einstein Equations
Abhay Ashtekar
Over the last two years, the canonical approach to quantum gravity based on connections and triads has been put on a firm mathematical footing through the development and applicati…