1994/08/18 by A. Ashtekar, Abhay Ashtekar, J. Lewandowski +12 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9408108
27 pages, CGPG-94/8-2, latex, contribution to the Cambridge meeting proceedings
arxiv created 1994/08/18 · openalex publication_date 1994/08/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 framework of constructive quantum field theory has to be extended to face these \it kinematical non-linearities squarely. We first present a pedagogical account of this problem and then suggest an avenue for its resolution.