κ-deformed commutation relation between quantum operators is constructed via Abelian twist deformation in κ-Minkowski spacetime. The commutation relation is written in terms of universal R-matrix satisfying braided statistics. The equal-time commutator function vanishes in this framework.
We solve the instability of perturbative vacuum of Gross-Neveu model by a variational method. The analysis is nonperturbative as it uses only equal time commutator/anticommutator algebra.
BRAIDED STATISTICS FROM ABELIAN TWIST IN κ-MINKOWSKI SPACETIME