# An infinite-dimensional calculus for gauge theories

@inproceedings{Mendes2010AnIC,
title={An infinite-dimensional calculus for gauge theories},
author={Rui Vilela Mendes},
year={2010}
}
• R. Mendes
• Published 8 May 2010
• Physics, Mathematics
IPFN EURATOM/IST Association, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal, http://label2.ist.utl.pt/vilela/ CMAF, Complexo Interdisciplinar, Universidade de Lisboa, Av. Gama Pinto, 2 1649-003 Lisboa (Portugal), e-mail: vilela@cii.fc.ul.pt
2 Citations

## Figures from this paper

• Mathematics
• 2018
We study nonlinear parabolic stochastic partial differential equations with Wickpower and Wick-polynomial type nonlinearities set in the framework of white noise analysis. These equations include the
• Mathematics
• 2010
We consider parabolic SPDEs driven by purely spatial noise, and show the existence of solutions with random initial data and forcing terms. We perform error analysis for the semi-discrete stochastic

## References

SHOWING 1-10 OF 17 REFERENCES

Gauge theory is a theory with constraints and, for that reason, the space of physical states is not a manifold but a stratified space (orbifold) with singularities. The classification of strata for
• Mathematics
• 1992
Holonomy algebras arise naturally in the classical description of Yang-Mills fields and gravity, and it has been suggested, at a heuristic level, that they may also play an important role in a
• Mathematics
• 1995
A general framework for integration over certain infinite dimensional spaces is first developed using projective limits of a projective family of compact Hausdorff spaces. The procedure is then
Rigorous methods are used to analyze the asymptotic (large time) behavior of gauge-theory Hamiltonians in the interaction picture. A simple ''asymptotic dynamics'' for four-dimensional gauge theories
Abstract: Different versions for defining Ashtekar's generalized connections are investigated depending on the chosen smoothness category for the paths and graphs – the label set for the projective
Based on a local Gaussian evaluation of the functional integral representation, a method is developed to obtain ground state functionals. The method is applied to the gluon sector of QCD. For the
• Mathematics
• 1995
AbstractWe show that the Ashtekar-Isham extension $$\overline {A/G}$$ of the configuration space of Yang-Mills theories $$A/G$$ is (topologically and measure-theoretically) the projective limit of
The algebra of SU(3) is developed on the basis of the matrices 2~ of GE~L-MAN~-, and identities involving the tensors d~j~ and f~#~ oceurr'mg in their multiplication law are derived. Octets and the