Poincare-invariant deformed algebra with minimal length

Abstract:
Deformed X,P commutation relations invariant under symmetries of n-dimensional Euclidean space [1] are generalized to Poincare-invariant algebra of (n+1)-dimensional Minkowski spacetime with minimal length. The existence of minimal length is proved by calculation of maximally localized fields.

[1] A. Kempf, Phys. Rev. D55, 7909 (1997).