4 papers
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…
Conformal Foliations and Constraint Quantization
J. N. Tavares
We show that the Classical Constraint Algebra of a Parametrized Relativistic Gauge System induces a natural structure of Conformal Foliation on a Transversal Gauge. Using the theor…
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…
Chen Integrals, Generalized Loops and Loop Calculus
J. N. Tavares
We use Chen iterated line integrals to construct a topological algebra of separating functions on the {\it Group of Loops} . has an Hop…