Gauge Field Theories
The symmetries discussed in the preceding chapters were all global symmetries. For example, the SU(3) symmetry of the strong interactions discussed in Sect. 4.3 implies that the physics of an interacting system of mesons and baryons is invariant under a global rotation in the isospin-hypercharge space, i.e. a rotation by the same angle at each point in space and time. In this chapter we will now discuss the implications of the symmetry under the much more general local transformations in which the rotation angle can vary from point to point in space and time.
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