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20022026
most citedTowards an Axiomatic Formulation of Noncommutative Quantum Field Theory

44 citations · 101 across the 21 of their papers we have counts for

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hep-th2021★ 2 cited

Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product

M. Chaichian, M. N. Mnatsakanova, M. Oksanen

We develop the Seiberg-Witten map using the gauge-covariant star product with the noncommutativity tensor . The latter guarantees the Lorentz invariance of the theory. T…

hep-th2021★ 1 cited

Induced CP-violation in the Euler-Heisenberg Lagrangian

M. Ghasemkhani, V. Rahmanpour, R. Bufalo +2

In this paper, we examine the behaviour of the Euler-Heisenberg effective action in the presence of a novel axial coupling among the gauge field and the fermionic matter. This axia…

hep-th2019★ 1 cited

Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory. II

M. Chaichian, M. N. Mnatsakanova, Yu. S. Vernov

Classical results of the axiomatic quantum field theory, namely the irreducibility of the set of field operators, Reeh and Schlieder's theorems and generalized Haag's theorem, are…

hep-th2013

Haag's Theorem in the Theories with Non-physical Particles

K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov

Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a non-degenerate indefinite inner product space.

hep-th2007★ 23 cited

Test Functions Space in Noncommutative Quantum Field Theory

M. Chaichian, M. Mnatsakanova, A. Tureanu +1

It is proven that the -product of field operators implies that the space of test functions in the Wightman approach to noncommutative quantum field theory is one of the Gel'…

hep-th2006★ 7 cited

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…