525 citations · 1k across the 33 of their papers we have counts for
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Physical Properties of Quantum Field Theory Measures
J. M. Mourao, T. Thiemann, J. M. Velhinho
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 co…
Closed formula for Wilson loops for Quantum Yang-Mills Theory in two dimensions
Abhay Ashtekar, Jurek Lewandowski, Donald Marolf +2
A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups and and space-time topologies $\Rl^1…
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…
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…
Complexification of Gauge Theories
R. Loll, J. M. Mourão, J. N. Tavares
For the case of a first-class constrained system with an equivariant momentum map, we study the conditions under which the double process of reducing to the constraint surface and…