By means of an analogy with Classical Mechanics and Geometrical Optics, we are able to reduce Lagrangians to a kinetic term only. This form enables us to examine the extended solution set of field theories by finding the geodesics of this kinetic term’s metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront core aspects of field theory.
Recommended citation: D. D. Ferrante, G. S. Guralnik. (2006). “From Symmetry Breaking to Topology Change.” arXiv:hep-th.