Far away from a fundamental magnetic monopole of the SU(5) grand unified theory, the full theory reduces to one whose gauge algebra is su(3) + u(1). Unlike the case with no monopole, however, the algebra of generators of smooth gauge transformations in this unbroken theory does not contain any subalgebra isomorphic to su(3). This means that global color transformations are not defined. The obstruction to their definition is topological in origin; far from being a purely formal curiosity, it affects the physical spectrum of monopole excitations.
- Pub Date:
- GAUGE THEORY;
- Physics: Elementary Particles and High Energy