Final answer:
To convert a model with SU(N) gauge symmetry to one with SU(N) global symmetry, one theoretical approach is to use spontaneous symmetry breaking, similar to transitions seen in cosmological models like the GUT to electroweak transition. This involves a system changing from a state with full symmetry to one that doesn't exhibit all aspects of that symmetry. The transformation is complex and the details would be specific to the model's dynamics.
Step-by-step explanation:
Transforming a model with a gauge (local) symmetry into one with a global symmetry may involve a theoretical approach akin to spontaneous symmetry breaking. In the context of gauge theories, like those involving SU(N) symmetries, spontaneous symmetry breaking is often connected to phase transitions where the original symmetry of the system is no longer manifest in the same way. An example is the transition from the grand unified theory (GUT) to the electroweak theory, wherein forces which were initially unified diverge and manifest as distinct interactions. In spontaneous symmetry breaking within a quantum field theory context, a symmetric state is driven to a configuration that does not exhibit the full symmetry of the underlying laws; akin to a ferromagnetic material below Curie temperature forming magnetic domains that do not respect the rotational symmetry of its high-temperature phase. Thus, one could potentially obtain a model with SU(N) global symmetry from a model with SU(N) gauge symmetry by considering a scenario where the local gauge symmetry is spontaneously broken down to a global symmetry. It should be noted, however, that the specifics of such a transformation are highly non-trivial and context-dependent, requiring detailed knowledge of the particular model and the dynamics governing the symmetry breaking.