525 citations · 1k across the 33 of their papers we have counts for
4 papers · 1 filter
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…
Integration on the space of Connections Modulo Gauge Transformations
Abhay Ashtekar, Donald Marolf, Jose Mourao
A summary of the known results on integration theory on the space of connections modulo gauge transformations is presented and its significance to quantum theories of gauge fields…
Generalized coordinates on the phase space of Yang-Mills theory
R. Loll, J. M. Mourao, J. N. Tavares
We study the suitability of complex Wilson loop variables as (generalized) coordinates on the physical phase space of -Yang-Mills theory. To this end, we construct a natural…
On the support of the Ashtekar-Lewandowski measure
Donald Marolf, Jose M. Mourao
We show that the Ashtekar-Isham extension of the classical configuration space of Yang-Mills theories (i.e. the moduli space of connections) is (topologically and measure-theoretic…