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Encyclopedia > Global symmetry

In quantum field theory, a global symmetry is any symmetry of a model which is not a gauge symmetry. A gauge symmetry is a symmetry which only allows us to predict the future evolution of a state given its current state up to a gauge transformation. So, a global symmetry is any symmetry, which acting upon any state, never acts to leave the current state invariant but yet changes the future or past state simultaneously. Quantum field theory (QFT) is the application of quantum mechanics to fields. ... Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ...


  Results from FactBites:
 
Global-Local Gauge Symmetries of the Weak Force (4179 words)
The global weak force "identity" charge symmetry consists of three subcategories, one each for the electron, muon, and tau (and perhaps a 4th for the leptoquark).
The global symmetry state is expressed as the universal value of electric charge (e), whatever its origin or carrier.
The soul (an abstract, virtual, or global form of identity) is hidden by the body (the local form) in life, but becomes explicit at death, and comprises the essential and eternal identity of the individual, which actually preexists and permits physical existence in the first place.
Symmetry and Symmetry Breaking (Stanford Encyclopedia of Philosophy) (9815 words)
The extension of the concept of continuous symmetry from “global” symmetries (such as the Galilean group of spacetime transformations) to “local” symmetries is one of the important developments in the concept of symmetry in physics that took place in the twentieth century.
Symmetries may be used to explain (i) the form of the laws, and (ii) the occurrence (or non-occurrence) of certain events (this latter in a manner analogous to the way in which the laws explain why certain events occur and not others).
Another reason for attributing symmetries to nature is the so-called geometrical interpretation of spatiotemporal symmetries, according to which the spatiotemporal symmetries of physical laws are interpreted as symmetries of spacetime itself, the “geometrical structure” of the physical world.
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