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Quantum noncommutative ABJM theory: first steps [PDF]
Journal of High Energy Physics, 2018 We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 6 supersymmetric. For the U(1) κ × U(1)−κ case, we compute all one-loop 1PI two and three point functions in
Carmelo P. Martin +2 more
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Schwinger Functions in Noncommutative Quantum Field Theory [PDF]
Annales Henri Poincaré, 2009 It is shown that the n-point functions of scalar massive free fields on the noncommutative Minkowski space are distributions which are boundary values of analytic functions.
D. Bahns
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Nonperturbative Quantum Field Theory and Noncommutative Geometry [PDF]
Journal of Geometry and Physics, 2017 36 ...
Johannes Aastrup +1 more
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Noncommutative quantum field theory: a confrontation of symmetries [PDF]
Journal of High Energy Physics, 2008 The concept of a noncommutative field is formulated based on the interplay between twisted Poincare symmetry and residual symmetry of the Lorentz group.
M. Chaichian +3 more
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Quantum Hall physics = noncommutative field theory [PDF]
Journal of High Energy Physics, 2001 In this note, we study a matrix-regularized version of non-commutative U(1) Chern-Simons theory proposed recently by Polychronakos. We determine a complete minimal basis of exact wavefunctions for the theory at arbitrary level k and rank N and show that these are in one-to-one correspondence with Laughlin-type wavefunctions describing excitations of a ...
Simeon Hellerman, Mark Van Raamsdonk
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Renormalization of noncommutative quantum field theories [PDF]
Physical Review D, 2013 35 pages, 2 figures, Minor changes in text, Conclusions unchanged, Version to be published in Phys.
Amilcar R. de Queiroz +2 more
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Noncommutative quantum field theory and gravity [PDF]
General Relativity and Gravitation, 2011 n ...
Κωνσταντίνος Αναγνωστόπουλος +5 more
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An interpretation of noncommutative field theory in terms of a quantum shift [PDF]
Physics Letters B, 2006 Noncommutative coordinates are decomposed into a sum of geometrical ones and a universal quantum shift operator. With the help of this operator, the mapping of a commutative field theory into a noncommutative field theory (NCFT) is introduced. A general measure for the Lorentz-invariance violation in NCFT is also derived.
Anca Tureanu +3 more
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Test Functions Space in Noncommutative Quantum Field Theory [PDF]
Journal of High Energy Physics, 2007 It is proven that the $\star$-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'fand-Shilov spaces $S^{\beta}$ with $\beta < 1/2$.
M. Chaichian +3 more
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Noncommutative version of Borcherds' approach to quantum field theory [PDF]
Proceedings of Frontiers of Fundamental Physics 14 — PoS(FFP14), 2016 Frontiers of Fundamental Physics 14, Jul 2014, Marseille ...
Christian Brouder +2 more
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