renormalization group
E575044
The renormalization group is a mathematical framework in theoretical physics that systematically studies how physical systems and their parameters change with scale, crucial for understanding critical phenomena and quantum field theories.
All labels observed (1)
| Label | Occurrences |
|---|---|
| renormalization group canonical | 2 |
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
concept in theoretical physics
ⓘ
mathematical framework ⓘ |
| appliesTo |
Heisenberg model
NERFINISHED
ⓘ
Ising model NERFINISHED ⓘ Kondo problem NERFINISHED ⓘ electroweak theory NERFINISHED ⓘ phi^4 theory ⓘ quantum chromodynamics NERFINISHED ⓘ turbulence models ⓘ |
| coreIdea |
integrate out short-distance degrees of freedom
ⓘ
rescale system to restore original form ⓘ track evolution of parameters under scale transformations ⓘ |
| developedBy |
Dmitry Shirkov
NERFINISHED
ⓘ
Kenneth Wilson NERFINISHED ⓘ Leo Kadanoff NERFINISHED ⓘ Nikolay Bogoliubov NERFINISHED ⓘ |
| explains |
asymptotic freedom in non-abelian gauge theories
ⓘ
critical exponents ⓘ decoupling of high-energy modes ⓘ running of coupling constants ⓘ scaling laws ⓘ universality near critical points ⓘ |
| field |
condensed matter physics
ⓘ
quantum field theory ⓘ statistical physics ⓘ theoretical physics ⓘ |
| introducedBy |
Francis Low
NERFINISHED
ⓘ
Murray Gell-Mann NERFINISHED ⓘ |
| relatedConcept |
Wilsonian renormalization group
NERFINISHED
ⓘ
beta function ⓘ critical surface ⓘ epsilon expansion ⓘ fixed point ⓘ functional renormalization group ⓘ momentum-shell renormalization ⓘ operator product expansion ⓘ |
| studies |
behavior of systems under changes of length scale
ⓘ
coarse graining procedures ⓘ critical phenomena ⓘ effective field theories ⓘ fixed points of scale transformations ⓘ flow of coupling constants ⓘ phase transitions ⓘ scale dependence of physical systems ⓘ universality classes ⓘ |
| usedFor |
analyzing high-energy behavior of quantum field theories
ⓘ
analyzing low-energy limits of quantum field theories ⓘ computing critical exponents ⓘ constructing effective field theories ⓘ multiscale analysis of physical systems ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.