Abstract
Effective theories provide important approximations in many areas of physics. We review two examples where effective theories can be rigorously derived from the microscopic theory.
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Notes
- 1.
Of course we do not claim that these theories are absolutely fundamental from the view of a physicist. It would be more correct to consider them as different levels between fundamental and effective, and which theory we call effective and which fundamental depends on the pair we are looking at. For example, we could also consider Newtonian mechanics as a macroscopic theory arising as an effective theory from quantum mechanics. On the next level we could view non-relativistic quantum mechanics as an effective theory arising from the Standard Model.
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Benedikter, N., Porta, M., Schlein, B. (2016). Introduction. In: Effective Evolution Equations from Quantum Dynamics. SpringerBriefs in Mathematical Physics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-24898-1_1
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