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Space-Time Noncommutative Field Theories And Unitarity

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arxiv hep-th/0005129 v2 pith:Z5UF4MER submitted 2000-05-14 hep-th

Space-Time Noncommutative Field Theories And Unitarity

classification hep-th
keywords fieldnoncommutativetheoriestheoryspace-timestringnoncommutativityspace
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space-time noncommutative field theory is an appropriate description of string theory. Whenever space-time noncommutative field theory becomes relevant massive open string states cannot be neglected.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Constraining non-commutative geometry with W/Z+jet production at the LHC

    hep-ph 2025-12 conditional novelty 6.0

    Non-commutative spacetime corrections to W/Z+jet production appear at first order in Θ, and ATLAS Z+jet data constrain the non-commutative scale to Λ ≳ 2 TeV.

  2. Exponentially Long Evaporation of Noncommutative Black Hole

    hep-th 2026-04 unverdicted novelty 5.0

    Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for expon...

  3. Top-quark pair production in electron-positron collisions within the minimal noncommutative Standard Model

    hep-ph 2026-01 unverdicted novelty 5.0

    Noncommutative effects up to second order in Θ induce measurable deviations in the e+e− → tt̄ total cross section, polar and azimuthal distributions, and forward-backward asymmetry at ILC and CLIC energies.

  4. Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

    hep-th 2026-05 unverdicted novelty 4.0

    In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.