A major contribution to the development of the physics of fundamental interactions, in fact for the whole physics, was the theorem developed by Emmy Noether in 1918 [10, 105, 106], showing how to construct the observables of a theory, given its Lagrangian and Lie symmetry groups. Following Lopes, for pedagogical purposes we divide the theorem in three parts, one for each kind of symmetry considered: transformation of coordinates in space–time, global gauge transformations, and local gauge transformations [107]. We also include separately the specific case of general relativity with its peculiar diffeomorphism invariance.
CITATION STYLE
Maia, M. D. (2011). The Fundamental Interactions. In Geometry of the Fundamental Interactions (pp. 1–8). Springer New York. https://doi.org/10.1007/978-1-4419-8273-5_1
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