Migdal theorem on vertex corrections in electron-phonon systems
E1062839
UNEXPLORED
The Migdal theorem on vertex corrections in electron-phonon systems is a key result in many-body physics stating that, due to the small ratio of electron to ion masses, vertex corrections to electron-phonon interactions can be neglected to leading order, greatly simplifying the theory of conventional superconductors and metals.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Migdal theorem on vertex corrections in electron-phonon systems canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13809692 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Migdal theorem on vertex corrections in electron-phonon systems Context triple: [Arkady Migdal, notableIdea, Migdal theorem on vertex corrections in electron-phonon systems]
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A.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
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B.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
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C.
Elementary Excitations in Solids
"Elementary Excitations in Solids" is a classic theoretical physics monograph that systematically develops the concept of quasiparticles and collective excitations to explain the behavior of electrons, phonons, and other excitations in condensed matter systems.
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D.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
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E.
Dynamical Mean-Field Theory
Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Migdal theorem on vertex corrections in electron-phonon systems Target entity description: The Migdal theorem on vertex corrections in electron-phonon systems is a key result in many-body physics stating that, due to the small ratio of electron to ion masses, vertex corrections to electron-phonon interactions can be neglected to leading order, greatly simplifying the theory of conventional superconductors and metals.
-
A.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
-
B.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
-
C.
Elementary Excitations in Solids
"Elementary Excitations in Solids" is a classic theoretical physics monograph that systematically develops the concept of quasiparticles and collective excitations to explain the behavior of electrons, phonons, and other excitations in condensed matter systems.
-
D.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
-
E.
Dynamical Mean-Field Theory
Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.