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In this paper, we introduce the condition of theta-locality which can be used as a substitute for microcausality in quantum field theory on noncommutative spacetime.
B. S. Mityagin, Nuclearity and other properies of the spaces of type S
1960
Earlier work this paper cites.
R. F. Streater and A. S. Wightman, PCT, Spin and Statistics and All That
1964
Earlier work this paper cites.
R. Jost, The General Theory of Quantized Fields
1965
Earlier work this paper cites.
I. M. Gelfand and G. E. Shilov, Generalized Functions
1968
Earlier work this paper cites.
H. J. Borchers and K. Pohlmeyer, Eine scheinbare Abschwächung der Lokalitäts-bedingung, II
1968
Earlier work this paper cites.
M. A. Solovev, Space-like asymptotic behavior of vacuum expectation values in nonlocal field theory
1982
Earlier work this paper cites.
J. M. Gracia-Bondia and J. C. Várilly, Algebras of distributions suitable for phase-space quantum mechanics. I
1988
Earlier work this paper cites.
N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, and I. T. Todorov, General Principles of Quantum Field Theory
1990
Earlier work this paper cites.
V. Ya. Fainberg and M. A. Soloviev, Nonlocalizability and asymptotical commutativity
1992
Earlier work this paper cites.
M. A. Soloviev, Beyond the theory of hyperfunctions
1993
Earlier work this paper cites.
M. A. Soloviev, An extension of distribution theory and of the Paley-Wiener-Schwartz theorem related to quantum gauge theory
1997
Cited alongside, same era.
N. Seiberg and E. Witten, String theory and noncommutative geometry
1999
Cited alongside, same era.
M. A. Soloviev, PCT, spin and statistics, and analytic wave front set
1999
Cited alongside, same era.
D. J. Gross, A. Hashimoto, and N. Itzhaki, Observables of non-commutative gauge theories
2000
Cited alongside, same era.
A. G. Smirnov and M. A. Soloviev, On Wick power series convergent to nonlocal fields
2001
Cited alongside, same era.
Yi Liao, K. Sibold, Spectral representation and dispersion relations in field theory on noncommutative space
2002
M. Chaichian, P. P. Kulish, K. Nshijima, and A. Tureanu, On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
2004
Later among the works it cites.
D. H. T. Franco and C. M. M. Polito, A new derivation of the CPT and spin-statistics theorems in noncommutative field theories
2005
Later among the works it cites.
B. Schroer, An antology of non-local QFT and QFT on noncommutative spacetime
2005
Later among the works it cites.
C.-S. Chu, K. Furuta, and T. Inami, Locality, causality and noncommuative geometry
2006
Later among the works it cites.
M. A. Soloviev, Axiomatic formulations of nonlocal and noncommutative field theories
2006
Later among the works it cites.
M. A. Soloviev, Decomposition theorems and kernel theorems for a class of functional spaces
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Cited alongside, same era.
R. J. Szabo, Quantum field theory on noncommutative spaces
2003
Cited alongside, same era.
L. Alvarez-Gaume and M. A. Vazquez-Mozo, General properties of noncommutative field theories
2003
Cited alongside, same era.
A. G. Smirnov, Towards Euclidean theory of infrared singular quantum fields
2003
Cited alongside, same era.
M. Chaichian, K. Nishijima and A.Tureanu, Spin-statistics and CPT-theorems in noncommutative field theories
2003
Cited alongside, same era.
M. Chaichian, M. N. Mnatsakanova, K. Nishijima, A.Tureanu, and Yu.A.Vernov, Towards an axiomatic formulation of noncommutative field theories
Cited in the paper.
Cited in the paper.
2006
Later among the works it cites.
O. W. Greenberg, Failure of microcausality in quantum field theory on noncommutative spacetime
2006
Later among the works it cites.
G. Fiore and J. Wess, On ”full” twisted Poincaré symmetry and QFT on Moyal-Weyl spaces
2007
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M. A. Soloviev, Star product algebras of test functions
2007
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