Global symmetries and Noether’s theorem
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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.
1996 ◽
Vol 10
(13n14)
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pp. 1755-1805
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1994 ◽
Vol 09
(20)
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pp. 3497-3502
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1992 ◽
Vol 01
(02)
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pp. 371-377
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1999 ◽
Vol 14
(30)
◽
pp. 4819-4840
1992 ◽
Vol 07
(11)
◽
pp. 2469-2485
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2021 ◽
Vol 2105
(1)
◽
pp. 012005
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