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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 transformations 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 wikiPageRevisionID "598862368".
- Global_anomaly hasPhotoCollection Global_anomaly.
- Global_anomaly subject Category:Anomalies_in_physics.
- Global_anomaly type Abnormality114501726.
- Global_anomaly type Abstraction100002137.
- Global_anomaly type AnomaliesInPhysics.
- Global_anomaly type Anomaly114505821.
- Global_anomaly type Attribute100024264.
- Global_anomaly type Condition113920835.
- Global_anomaly type PhysicalCondition114034177.
- Global_anomaly type State100024720.
- 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 transformations that would otherwise be preserved in the classical theory.".
- Global_anomaly label "Global anomaly".
- Global_anomaly sameAs m.04xl1g.
- Global_anomaly sameAs Q5570806.
- Global_anomaly sameAs Q5570806.
- Global_anomaly sameAs Global_anomaly.
- Global_anomaly wasDerivedFrom Global_anomaly?oldid=598862368.
- Global_anomaly isPrimaryTopicOf Global_anomaly.