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Null Infinity and Horizons: A New Approach to Fluxes and Charges
Abhay Ashtekar, Simone Speziale
We introduce a Hamiltonian framework tailored to degrees of freedom (DOF) of field theories that reside in suitable 3-dimensional open regions, and then apply it to the gravitation…
Null Infinity as a Weakly Isolated Horizon
Abhay Ashtekar, Simone Speziale
Null infinity arises as a boundary of the Penrose conformal completion of an asymptotically flat physical space-time. We first note that null infinity is a weakly isolated horizon…
Asymptotically Anti-de Sitter Space-times: Conserved Quantities
Abhay Ashtekar, Saurya Das
Asymptotically anti-de Sitter space-times are considered in a general dimension . As one might expect, the boundary conditions at infinity ensure that the asymptotic symmet…
Gauss Linking Number and Electro-magnetic Uncertainty Principle
Abhay Ashtekar, Alejandro Corichi
It is shown that there is a precise sense in which the Heisenberg uncertainty between fluxes of electric and magnetic fields through finite surfaces is given by (one-half t…
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…