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Noether's 1st theorem with local symmetries | | Sinya Aoki
; | | Date: |
1 Jun 2022 | | Abstract: | We propose a general method to derive a conserved current associated with a
global symmetry which is a part of local symmetries. While a current derived
from local symmetries of a matter sector with a covariant background gauge
field is not conserved in general, we show that the current associated with a
special type of global transformations is on-shell conserved. We also point out
that the conserved current can be modified by adding a current trivially
conserved as a constraint by the Noether’s 2nd theorem. We apply this
derivation to an $U(1)$ gauge theory, general relativity and a non-abelian
gauge theory. In general relativity, the associated conserved charge agrees
with the one recently proposed from a different point of view. | | Source: | arXiv, 2206.00283 | | Services: | Forum | Review | PDF | Favorites | |
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