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- Global_anomaly abstract "In theoretical physics, a global anomaly is a type of anomaly: in this particular case, it is a quantum effect that invalidates a large gauge transformation that would otherwise be preserved in the classical theory. This leads to an inconsistency in the theory because the space of configurations which is being integrated over in the functional integral involves both a configuration and the same configuration after a large gauge transformation has acted upon it and the sum of all such contributions is zero and the space of configurations cannot be split into connected components for which the integral is nonzero.Alternatively, the existence of a global anomaly implies that the measure of Feynman's functional integral cannot be defined globally.The adjective \"global\" refers to the properties of a group that are not visible locally. For example, all features of a discrete group (as opposed to a Lie group) are global in character.A famous example is an SU(2) Yang–Mills theory in 4D with an odd number of chiral fermions transforming as doublets under SU(2).Many types of global anomalies must cancel for a theory to be consistent. An example is modular invariance, the requirement of anomaly cancellation for a part of a gravitational anomaly that deals with the large diffeomorphisms over two dimensional worldsheets of genus 1 or more.".
- Global_anomaly wikiPageID "1372562".
- Global_anomaly wikiPageLength "1565".
- Global_anomaly wikiPageOutDegree "16".
- Global_anomaly wikiPageRevisionID "703645509".
- Global_anomaly wikiPageWikiLink Anomaly_(physics).
- Global_anomaly wikiPageWikiLink Category:Anomalies_in_physics.
- Global_anomaly wikiPageWikiLink Doublet_state.
- Global_anomaly wikiPageWikiLink Functional_integration.
- Global_anomaly wikiPageWikiLink Genus.
- Global_anomaly wikiPageWikiLink Gravitational_anomaly.
- Global_anomaly wikiPageWikiLink Group_(mathematics).
- Global_anomaly wikiPageWikiLink Large_diffeomorphism.
- Global_anomaly wikiPageWikiLink Large_gauge_transformation.
- Global_anomaly wikiPageWikiLink Lie_group.
- Global_anomaly wikiPageWikiLink Modular_invariance.
- Global_anomaly wikiPageWikiLink Richard_Feynman.
- Global_anomaly wikiPageWikiLink Spinor.
- Global_anomaly wikiPageWikiLink Theoretical_physics.
- Global_anomaly wikiPageWikiLink Worldsheet.
- Global_anomaly wikiPageWikiLink Yang–Mills_theory.
- Global_anomaly wikiPageWikiLinkText "Global anomaly".
- Global_anomaly wikiPageWikiLinkText "global anomalies".
- Global_anomaly wikiPageWikiLinkText "global anomaly".
- Global_anomaly wikiPageUsesTemplate Template:Quantum-stub.
- Global_anomaly wikiPageUsesTemplate Template:Unreferenced.
- Global_anomaly subject Category:Anomalies_in_physics.
- Global_anomaly hypernym Type.
- Global_anomaly type Anomaly.
- Global_anomaly type Mechanic.
- Global_anomaly type Theory.
- Global_anomaly comment "In theoretical physics, a global anomaly is a type of anomaly: in this particular case, it is a quantum effect that invalidates a large gauge transformation that would otherwise be preserved in the classical theory.".
- Global_anomaly label "Global anomaly".
- Global_anomaly sameAs Q5570806.
- Global_anomaly sameAs m.04xl1g.
- Global_anomaly sameAs Q5570806.
- Global_anomaly wasDerivedFrom Global_anomaly?oldid=703645509.
- Global_anomaly isPrimaryTopicOf Global_anomaly.