Any Poincaré-invariant linear partial differential operator on Minkowski spacetime is a polynomial in the d'Alembertian, and dilation invariance then forces the second order operator to be a scalar multiple of it.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Characterization of the D'Alembertian by the Poincar\'e Invariance
Any Poincaré-invariant linear partial differential operator on Minkowski spacetime is a polynomial in the d'Alembertian, and dilation invariance then forces the second order operator to be a scalar multiple of it.