DBpedia – Linked Data Fragments

Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Conformal_anomaly> ?p ?o }

• Conformal_anomaly abstract "A conformal anomaly, scale anomaly, or Weyl anomaly is an anomaly, i.e. a quantum phenomenon that breaks the conformal symmetry of the classical theory.A classically conformal theory is a theory which, when placed on a surface with arbitrary background metric, has an action that is invariant under rescalings of the background metric (Weyl transformations), combined with corresponding transformations of the other fields in the theory.A conformal quantum theory is one whose partition function is unchanged by rescaling the metric.The variation of the action with respect to the background metric is proportional to the stress tensor, and therefore the variation with respect to a conformal rescaling is proportional to the trace of the stress tensor.Therefore in the presence of a conformal anomaly the trace of the stress tensor has a non-vanishing expectation.In string theory, conformal symmetry on the worldsheet is a local Weyl symmetry and the anomaly must therefore cancel if the theory is to be consistent. The required cancellation implies that the spacetime dimensionality must be equal to the critical dimension which is either 26 in the case of bosonic string theory or 10 in the case of superstring theory. This case is called critical string theory. There are alternative approaches known as non-critical string theory in which the space-time dimensions can be less than 26 for the bosonic theory or less 10 for the superstring i.e. the four-dimensional case is plausible within this context.In quantum chromodynamics in the chiral limit, the classical theory has no mass scale so there is a conformal symmetry, but this is broken by a conformal anomaly. This introduces a scale, which is the scale at which colour confinement occurs. This determines the sizes and masses of hadrons, including protons and neutrons. Hence this effect is responsible for most of the mass of ordinary matter. (In fact the quarks have non-zero masses, so the classical theory does have a mass scale. However, the masses are small so it is still nearly conformal, so there is still a conformal anomaly. The mass due to the conformal anomaly is much greater than the up, down and strange quark masses, so it has a much greater effect on the masses of hadrons.)".
• Conformal_anomaly wikiPageExternalLink 1201.6073.
• Conformal_anomaly wikiPageID "1931704".
• Conformal_anomaly wikiPageLength "3483".
• Conformal_anomaly wikiPageOutDegree "37".
• Conformal_anomaly wikiPageRevisionID "679227891".
• Conformal_anomaly wikiPageWikiLink Anomalous_scaling_dimension.
• Conformal_anomaly wikiPageWikiLink Anomaly_(physics).
• Conformal_anomaly wikiPageWikiLink Bosonic_string_theory.
• Conformal_anomaly wikiPageWikiLink Category:Anomalies_in_physics.
• Conformal_anomaly wikiPageWikiLink Category:Conformal_field_theory.
• Conformal_anomaly wikiPageWikiLink Category:Quantum_chromodynamics.
• Conformal_anomaly wikiPageWikiLink Category:Renormalization_group.
• Conformal_anomaly wikiPageWikiLink Category:String_theory.
• Conformal_anomaly wikiPageWikiLink Central_charge.
• Conformal_anomaly wikiPageWikiLink Charge_(physics).
• Conformal_anomaly wikiPageWikiLink Chiral_limit.
• Conformal_anomaly wikiPageWikiLink Classical_physics.
• Conformal_anomaly wikiPageWikiLink Classical_theory.
• Conformal_anomaly wikiPageWikiLink Classically_conformal_theory.
• Conformal_anomaly wikiPageWikiLink Color_confinement.
• Conformal_anomaly wikiPageWikiLink Colour_confinement.
• Conformal_anomaly wikiPageWikiLink Conformal_quantum_theory.
• Conformal_anomaly wikiPageWikiLink Conformal_symmetry.
• Conformal_anomaly wikiPageWikiLink Critical_dimension.
• Conformal_anomaly wikiPageWikiLink Dimension.
• Conformal_anomaly wikiPageWikiLink Dimensional_transmutation.
• Conformal_anomaly wikiPageWikiLink Dimensionality.
• Conformal_anomaly wikiPageWikiLink Hadron.
• Conformal_anomaly wikiPageWikiLink Joseph_Polchinski.
• Conformal_anomaly wikiPageWikiLink Mass.
• Conformal_anomaly wikiPageWikiLink Matter.
• Conformal_anomaly wikiPageWikiLink Neutron.
• Conformal_anomaly wikiPageWikiLink Non-critical_string_theory.
• Conformal_anomaly wikiPageWikiLink Partition_function_(quantum_field_theory).
• Conformal_anomaly wikiPageWikiLink Proton.
• Conformal_anomaly wikiPageWikiLink Quantum_chromodynamics.
• Conformal_anomaly wikiPageWikiLink Quark.
• Conformal_anomaly wikiPageWikiLink Scaling_dimension.
• Conformal_anomaly wikiPageWikiLink Spacetime.
• Conformal_anomaly wikiPageWikiLink Stress–energy_tensor.
• Conformal_anomaly wikiPageWikiLink String_theory.
• Conformal_anomaly wikiPageWikiLink Superstring_theory.
• Conformal_anomaly wikiPageWikiLink Vacuum_expectation_value.
• Conformal_anomaly wikiPageWikiLink Weyl_symmetry.
• Conformal_anomaly wikiPageWikiLink Weyl_transformation.
• Conformal_anomaly wikiPageWikiLink Worldsheet.
• Conformal_anomaly wikiPageWikiLinkText "Conformal anomaly".
• Conformal_anomaly wikiPageWikiLinkText "anomalous".
• Conformal_anomaly wikiPageWikiLinkText "conformal anomalies".
• Conformal_anomaly wikiPageWikiLinkText "conformal anomaly".
• Conformal_anomaly hasPhotoCollection Conformal_anomaly.
• Conformal_anomaly wikiPageUsesTemplate Template:Clarify.
• Conformal_anomaly subject Category:Anomalies_in_physics.
• Conformal_anomaly subject Category:Conformal_field_theory.
• Conformal_anomaly subject Category:Quantum_chromodynamics.
• Conformal_anomaly subject Category:Renormalization_group.
• Conformal_anomaly subject Category:String_theory.
• Conformal_anomaly type Article.
• Conformal_anomaly type Anomaly.
• Conformal_anomaly type Article.
• Conformal_anomaly type Chromodynamic.
• Conformal_anomaly type Mechanic.
• Conformal_anomaly type Physic.
• Conformal_anomaly type Theory.
• Conformal_anomaly comment "A conformal anomaly, scale anomaly, or Weyl anomaly is an anomaly, i.e.".
• Conformal_anomaly label "Conformal anomaly".
• Conformal_anomaly sameAs Anomalia_conforme.
• Conformal_anomaly sameAs m.06710j.
• Conformal_anomaly sameAs Q5160243.
• Conformal_anomaly sameAs Q5160243.
• Conformal_anomaly wasDerivedFrom Conformal_anomaly?oldid=679227891.
• Conformal_anomaly isPrimaryTopicOf Conformal_anomaly.