| Global Anomaly |
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| CATEGORIES ABOUT GLOBAL ANOMALY | |
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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 a SU(2) Yang-Mills Theory in 4D with an odd number of Chiral Fermion s 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 Diffeomorphism s over two dimensional Worldsheet s of Genus 1 or more. |
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