# The mathematical foundations of gauge theory revisited

@article{Pommaret2013TheMF, title={The mathematical foundations of gauge theory revisited}, author={J. F. Pommaret}, journal={arXiv: Analysis of PDEs}, year={2013} }

We start recalling with critical eyes the mathematical methods used in gauge theory and prove that they are not coherent with continuum mechanics, in particular the analytical mechanics of rigid bodies or hydrodynamics, though using the same group theoretical methods and despite the well known couplings existing between elasticity and electromagnetism (piezzoelectricity, photoelasticity, streaming birefringence). The purpose of this paper is to avoid such contradictions by using new…

## 18 Citations

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