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- Critical_dimension abstract "In the renormalization group analysis of phase transitions in physics, a critical dimension is the dimensionality of space at which the character of the phase transition changes. Below the lower critical dimension there is no phase transition. Above the upper critical dimension the critical exponents of the theory become the same as that in mean field theory. An elegant criterion to obtain the critical dimension within mean field theory is due to V. Ginzburg.Since the renormalization group sets up a relation between a phase transition and a quantum field theory, this also has implications for the latter. Above the upper critical dimension, the quantum field theory which belongs to the model of the phase transition is a free field theory. Below the lower critical dimension, there is no field theory corresponding to the model.In the context of string theory the meaning is more restricted: the critical dimension is the dimension at which string theory is consistent assuming a constant dilaton background. The precise number may be determined by the required cancellation of conformal anomaly on the worldsheet; it is 26 for the bosonic string theory and 10 for superstring theory.".
- Critical_dimension thumbnail CriticalHyperplane.png?width=300.
- Critical_dimension wikiPageExternalLink Kanon_3.0.0_Setup.exe.
- Critical_dimension wikiPageID "1931707".
- Critical_dimension wikiPageRevisionID "582381605".
- Critical_dimension hasPhotoCollection Critical_dimension.
- Critical_dimension subject Category:Critical_phenomena.
- Critical_dimension subject Category:Phase_transitions.
- Critical_dimension subject Category:Statistical_mechanics.
- Critical_dimension subject Category:String_theory.
- Critical_dimension type CriticalPhenomena.
- Critical_dimension type NaturalProcess113518963.
- Critical_dimension type PhaseChange113536016.
- Critical_dimension type PhaseTransitions.
- Critical_dimension type Phenomenon100034213.
- Critical_dimension type PhysicalEntity100001930.
- Critical_dimension type Process100029677.
- Critical_dimension comment "In the renormalization group analysis of phase transitions in physics, a critical dimension is the dimensionality of space at which the character of the phase transition changes. Below the lower critical dimension there is no phase transition. Above the upper critical dimension the critical exponents of the theory become the same as that in mean field theory. An elegant criterion to obtain the critical dimension within mean field theory is due to V.".
- Critical_dimension label "Critical dimension".
- Critical_dimension label "Dimension critique".
- Critical_dimension sameAs Dimension_critique.
- Critical_dimension sameAs m.067116.
- Critical_dimension sameAs Q3028070.
- Critical_dimension sameAs Q3028070.
- Critical_dimension sameAs Critical_dimension.
- Critical_dimension wasDerivedFrom Critical_dimension?oldid=582381605.
- Critical_dimension depiction CriticalHyperplane.png.
- Critical_dimension isPrimaryTopicOf Critical_dimension.
