Affiliation:
1. Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics , Kyoto University, Kitashirakawa Oiwakecho, Sakyo-Ku, Kyoto 606-8502, Japan
Abstract
Abstract
Noether’s 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved currents. In this paper, we propose a general method to derive a matter-conserved current associated with a special global symmetry in the presence of local symmetries. While currents derived from local symmetries of a matter sector with a covariant background gauge field are not conserved in general, we show that the current associated with a special type of a global symmetry, called a hidden matter symmetry, is on-shell conserved. We apply this derivation to a U(1) gauge theory, general relativity and non-abelian gauge theory. In general relativity, the associated conserved charge agrees with the one recently proposed from a different point of view.
Funder
Ministry of Education, Culture, Sports, Science and Technology
SCOAP
Publisher
Oxford University Press (OUP)
Subject
General Physics and Astronomy
Cited by
1 articles.
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1. Entropy and its conservation in expanding Universe;International Journal of Modern Physics A;2023-05-20