algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In particle physics phenomenology one distinguishes two strategies for constructing models of a theory with desired properties:
in a “top-down approach” one considers the full theory right away and tries to narrow in, in its space of models, to a subspace of models with the desired properties;
in a “bottom-up approach” one first specifies exactly which properties a model is supposed to have, and then incrementally uses the remaining wiggle room to see if this specification may be completed to an actual model of the full theory.
This distinction was highlighted, and the terminology established, in (Aldazabal-Ibáñez-Quevedo-Uranga 00); there in the context of discussion of string phenomenology and specifically of intersecting D-brane models in type II string theory. In fact the article proposes and advertizes the bottom-up-strategy, felt to be in contrast with the, at that time, dominant top-down-strategy going back to (Candelas-Horowitz-Strominger-Witten 85).
snippet grabbed from Aldazabal-Ibáñez-Quevedo-Uranga 00
For more on this see at string phenomenology the section Top-down models and Bottom-up models.
In string phenomenology the terminology as such was introduced and specifically the “bottom-up approach” was advertized in
while the “top-down approach” in string phenomenology originates with
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