5 papers
Parallel Transports in Webs
Christian Fleischhack
For connected reductive linear algebraic structure groups it is proven that every web is holonomically isolated. The possible tuples of parallel transports in a web form a Lie subg…
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…
On the Support of Physical Measures in Gauge Theories
Christian Fleischhack
It is proven that the physical measure for the two-dimensional Yang-Mills theory is purely singular with respect to the kinematical Ashtekar-Lewandowski measure. For this, an expli…
On the Structure of Physical Measures in Gauge Theories
Christian Fleischhack
It is indicated that the definition of physical measures via ``exponential of minus the action times kinematical measure'' contradicts properties of certain physical models. In par…
Gauge Orbit Types for Generalized Connections
Christian Fleischhack
Different versions for defining Ashtekar's generalized connections are investigated depending on the chosen smoothness category for the paths and graphs -- the label set for the pr…