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- Dimensional_transmutation abstract "In particle physics, dimensional transmutation is a physical mechanism providing a linkage between a dimensionless parameter and a dimensionful parameter.In classical field theory, such as gauge theory in four-dimensional spacetime, the coupling constant is a dimensionless constant. However, upon quantization, logarithmic divergences in one-loop diagrams of perturbation theory imply that this \"constant\" actually depends on the typical energy scale of the processes under considerations, called the renormalization group (RG) scale. This \"running\" of the coupling is specified by the beta-function of the renormalization group.Consequently, the interaction may be characterised by a dimensionful parameter Λ, namely the value of the RG scale at which the coupling constant diverges. In the case of quantum chromodynamics, this energy scale Λ is called the QCD scale, and its value 220 MeV supplants the role of the original dimensionless coupling constant in the form of the logarithm (at one-loop) of the ratio μ and Λ. Perturbation theory, which produced this type of running formula, is only valid for a (dimensionless) coupling g ≪ 1. In the case of QCD, the energy scale Λ is an infrared cutoff, such that μ ≫ Λ implies g ≪ 1, with μ the RG scale. On the other hand, in the case of theories such as QED, Λ is an ultraviolet cutoff, such that μ ≪ Λ implies g ≪ 1.This is also a way of saying that the conformal symmetry of the classical theory is anomalously broken upon quantization, thereby setting up a mass scale. See conformal anomaly.".
- Dimensional_transmutation wikiPageID "2973832".
- Dimensional_transmutation wikiPageLength "1898".
- Dimensional_transmutation wikiPageOutDegree "20".
- Dimensional_transmutation wikiPageRevisionID "636032832".
- Dimensional_transmutation wikiPageWikiLink Anomaly_(physics).
- Dimensional_transmutation wikiPageWikiLink Beta_function_(physics).
- Dimensional_transmutation wikiPageWikiLink Category:Quantum_field_theory.
- Dimensional_transmutation wikiPageWikiLink Category:Renormalization_group.
- Dimensional_transmutation wikiPageWikiLink Classical_field_theory.
- Dimensional_transmutation wikiPageWikiLink Conformal_anomaly.
- Dimensional_transmutation wikiPageWikiLink Conformal_symmetry.
- Dimensional_transmutation wikiPageWikiLink Coupling_constant.
- Dimensional_transmutation wikiPageWikiLink Cutoff_(physics).
- Dimensional_transmutation wikiPageWikiLink Dimensional_analysis.
- Dimensional_transmutation wikiPageWikiLink Dimensionless_quantity.
- Dimensional_transmutation wikiPageWikiLink Gauge_theory.
- Dimensional_transmutation wikiPageWikiLink Length_scale.
- Dimensional_transmutation wikiPageWikiLink One-loop_Feynman_diagram.
- Dimensional_transmutation wikiPageWikiLink Particle_physics.
- Dimensional_transmutation wikiPageWikiLink Quantum_chromodynamics.
- Dimensional_transmutation wikiPageWikiLink Renormalization_group.
- Dimensional_transmutation wikiPageWikiLink Spacetime.
- Dimensional_transmutation wikiPageWikiLinkText "Dimensional transmutation".
- Dimensional_transmutation wikiPageWikiLinkText "dimensional transmutation".
- Dimensional_transmutation wikiPageUsesTemplate Template:Math.
- Dimensional_transmutation wikiPageUsesTemplate Template:Mvar.
- Dimensional_transmutation wikiPageUsesTemplate Template:Unreferenced.
- Dimensional_transmutation subject Category:Quantum_field_theory.
- Dimensional_transmutation subject Category:Renormalization_group.
- Dimensional_transmutation hypernym Mechanism.
- Dimensional_transmutation type Organisation.
- Dimensional_transmutation type Mechanic.
- Dimensional_transmutation type Physic.
- Dimensional_transmutation comment "In particle physics, dimensional transmutation is a physical mechanism providing a linkage between a dimensionless parameter and a dimensionful parameter.In classical field theory, such as gauge theory in four-dimensional spacetime, the coupling constant is a dimensionless constant.".
- Dimensional_transmutation label "Dimensional transmutation".
- Dimensional_transmutation sameAs Q5277274.
- Dimensional_transmutation sameAs Transmutació_dimensional.
- Dimensional_transmutation sameAs m.08h0z8.
- Dimensional_transmutation sameAs Q5277274.
- Dimensional_transmutation wasDerivedFrom Dimensional_transmutation?oldid=636032832.
- Dimensional_transmutation isPrimaryTopicOf Dimensional_transmutation.