On Noether's theorem in quantum field theory
Extending the construction of local generators of symmetries in [the second author, Commun. Math. Phys. 85, 73-86 (1982; Zbl 0515.46065) and the second and third author, Commun. Math. Phys. 88, 399-409 (1983; Zbl 0523.46046)] to space-time and supersymmetries, we establish a weak form of Noether's theorem in quantum field theory. We also comment on the physical significance of the ''split property'', underlying our analysis, and discuss some local aspects of superselection rules following from our results.
construction of local generators of symmetries
weak form of Noether's theorem in quantum field theory
scientific article; zbMATH DE number 3985938
scientific article