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- Renormalization_group abstract "In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength). A change in scale is called a "scale transformation". The renormalization group is intimately related to "scale invariance" and "conformal invariance", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable "couplings" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances. For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the "dressed electron" seen at large distances, and this change, or "running," in the value of the electric charge is determined by the renormalization group equation.".
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- Renormalization_group subject Category:Mathematical_physics.
- Renormalization_group subject Category:Quantum_field_theory.
- Renormalization_group subject Category:Renormalization_group.
- Renormalization_group subject Category:Scaling_symmetries.
- Renormalization_group subject Category:Statistical_mechanics.
- Renormalization_group type Abstraction100002137.
- Renormalization_group type Attribute100024264.
- Renormalization_group type Property104916342.
- Renormalization_group type ScalingSymmetries.
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- Renormalization_group comment "In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf.".
- Renormalization_group label "Groupe de renormalisation".
- Renormalization_group label "Grupo de renormalización".
- Renormalization_group label "Grupo de renormalização".
- Renormalization_group label "Gruppo di rinormalizzazione".
- Renormalization_group label "Renormalization group".
- Renormalization_group label "Renormierungsgruppe".
- Renormalization_group label "Ренормализационная группа".
- Renormalization_group label "くりこみ群".
- Renormalization_group sameAs Renormierungsgruppe.
- Renormalization_group sameAs Grupo_de_renormalización.
- Renormalization_group sameAs Groupe_de_renormalisation.
- Renormalization_group sameAs Gruppo_di_rinormalizzazione.
- Renormalization_group sameAs くりこみ群.
- Renormalization_group sameAs 재규격화군.
- Renormalization_group sameAs Grupa_renormalizacji.
- Renormalization_group sameAs Grupo_de_renormalização.
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- Renormalization_group wasDerivedFrom Renormalization_group?oldid=605112504.
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