673 citations · 3.6k across the 100 of their papers we have counts for
6 papers · 1 filter
Classical Theorems in Noncommutative Quantum Field Theory
M. Chaichian, M. Mnatsakanova, A. Tureanu +1
Classical results of the axiomatic quantum field theory - Reeh and Schlieder's theorems, irreducibility of the set of field operators and generalized Haag's theorem are proven in S…
Generalized Haag's Theorem in SO(1,1) and SO(1,3) Invariant Quantum Field Theory
M. Chaichian, M. Mnatsakanova, A. Tureanu +1
One of the most important results of the axiomatic quantum field theory - generalized Haag's theorem - is proven in SO(1,1) invariant quantum field theory, of which an important ex…
Riemannian Geometry of Noncommutative Surfaces
M. Chaichian, A. Tureanu, R. B. Zhang +1
A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory. Historical…
Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
M. Chaichian, A. Tureanu, G. Zet
Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be exten…
Non-anticommutative Supersymmetric Field Theory and Quantum Shift
Masato Arai, Masud Chaichian, Kazuhiko Nishijima +1
Non-anticommutative Grassmann coordinates in four-dimensional twist-deformed N=1 Euclidean superspace are decomposed into geometrical ones and quantum shift operators. This decompo…
Twist Symmetry and Gauge Invariance
M. Chaichian, A. Tureanu
By applying properly the concept of twist symmetry to the gauge invariant theories, we arrive at the conclusion that previously proposed in the literature noncommutative gauge theo…