4 papers
Breakdown of the Action Method in Gauge Theories
Christian Fleischhack, Jerzy Lewandowski
It is shown that the definition of physical integration measures via ``exponential of minus the action times kinematical integration measure'' typically contradicts properties of p…
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…
A Manifestly Gauge-Invariant Approach to Quantum Theories of Gauge Fields
A. Ashtekar, J. Lewandowski, D. Marolf +2
In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard…
Differential Geometry for the Space of Connections Modulo Gauge Transformations
Jerzy lewandowski
(This short article is a continuation of a longer, review work, in the same volume of Proceedings, by Ashtekar, Marolf and Mourão [gr-qc/9403042]. All the details and other results…