Physical properties of quantum field theory measures
Journal article
Publication Details
Author(s): Mourao JM, Thiemann T, Velhinho J
Journal: → Journal of Mathematical Physics 
Publisher: AMER INST PHYSICS
Publication year: 1999
Volume: 40
Journal issue: 5
Pages range: 23372353
ISSN: 00222488
Abstract
Well known methods of measure theory on infinite dimensional spaces are used to study physical properties of measures relevant to quantum field theory. The difference of typical configurations of free massive scalar field theories with different masses is studied. We apply the same methods to study the AshtekarLewandowski (AL) measure on spaces of connections. In particular we prove that the diffeomorphism group acts ergodically, with respect to the AL measure, on the AshtekarIsham space of quantum connections modulo gauge transformations. We also prove that a typical, with respect to the AL measure, quantum connection restricted to a (piecewise analytic) curve leads to a parallel transport discontinuous at every point of the curve. (C) 1999 American Institute of Physics. [S00222488(99)004041].
FAU Authors / FAU Editors
 Mourao, José Manuel Prof. Dr. 
  Chair for Theoretical Physics III (Quantum Gravity) 

 Thiemann, Thomas Prof. Dr. 
  Chair for Theoretical Physics III (Quantum Gravity) 

How to cite
APA:  Mourao, J.M., Thiemann, T., & Velhinho, J. (1999). Physical properties of quantum field theory measures. Journal of Mathematical Physics, 40(5), 23372353. 
MLA:  Mourao, José Manuel, Thomas Thiemann, and Jose Velhinho. "Physical properties of quantum field theory measures." Journal of Mathematical Physics 40.5 (1999): 23372353. 