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Space-Time Noncommutative Field Theories And Unitarity
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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.
Forward citations
Cited by 7 Pith papers
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A new perspective on non-commutative deformations of field and gauge theories
Star products built from active symmetry transformations give gauge-invariant non-commutative theories under a weakened unimodularity condition, with a planar equivalence theorem keeping internal Feynman structure undeformed.
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Holography with Null Boundaries
D1-D5-F1 string theory in a non-commutative decoupling limit yields a holographic correspondence for spacetimes with a null boundary, interpolating between AdS3 and a six-dimensional asymptotic metric.
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IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.
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Constraining non-commutative geometry with W/Z+jet production at the LHC
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.
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Entanglement through high-energy scattering in noncommutative quantum electrodynamics
In noncommutative QED, tree-level photon and head-on fermion scattering with opposite helicities give the same concurrence as gluon scattering, maximal at a 90-degree scattering angle, while a right-angle fermion coll...
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Top-quark pair production in electron-positron collisions within the minimal noncommutative Standard Model
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.
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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
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.
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