Remarks on Time-Space Noncommutative Field Theories

J.L.F. Barbon; L. Alvarez-Gaume; R. Zwicky

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Remarks on Time-Space Noncommutative Field Theories

L. Alvarez-Gaume, J.L.F. Barbon, R. Zwicky

High Energy Physics - Theory · Submitted 9 Mar 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this way, we give a unified view of the string-theoretical and the field-theoretical no-go arguments against time-like noncommutative theories.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.63 · mentions code or data availability 0.01.

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We propose a physical interpretation of the perturbative breakdown of unitarity in time-like noncommutative field theories in terms of production of tachyonic particles. These particles may be viewed as a remnant of a continuous spectrum of undecoupled closed-string modes. In this way, we give a unified view of the string-theoretical and the field-theoretical no-go arguments against time-like noncommutative theories. We also perform a quantitative study of various locality and causality properties of noncommutative field theories at the quantum level.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose a physical interpretation of the perturbative breakdown of unitarity in time-like noncommutative field theories in terms of production of tachyonic particles.	contribution 0.78	0.90	0.56	asserted 0.78
s1	These particles may be viewed as a remnant of a continuous spectrum of undecoupled closed-string modes.	interpretation 0.99	0.31	0.11	hedged possibility 1.00
s2	In this way, we give a unified view of the string-theoretical and the field-theoretical no-go arguments against time-like noncommutative theories.	interpretation 0.70	0.86	0.38	asserted 1.00
s3	We also perform a quantitative study of various locality and causality properties of noncommutative field theories at the quantum level.	contribution 0.99	0.94	0.07	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.74 · evidence from proof or derivation 0.60.

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The paper

Original abstract

We propose a physical interpretation of the perturbative breakdown of unitarity in time-like noncommutative field theories in terms of production of tachyonic particles. These particles may be viewed as a remnant of a continuous spectrum of undecoupled closed-string modes. In this way, we give a unified view of the string-theoretical and the field-theoretical no-go arguments against time-like noncommutative theories. We also perform a quantitative study of various locality and causality properties of noncommutative field theories at the quantum level.

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References

Forward citations

Cited by 8 Pith papers

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

IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
hep-ph 2019-09 conditional novelty 7.0 of 10

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.
Entanglement through high-energy scattering in noncommutative quantum electrodynamics
hep-th 2025-06 conditional novelty 6.0 of 10

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...
Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
hep-th 2006-03 conditional novelty 6.0 of 10

A consistency check shows the deformed-quantization approach to noncommutative field theory collapses to an ordinary commutative theory, so the claimed spin-statistics violation and disappearing UV/IR mixing are artifacts.
Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons
hep-th 2002-07 conditional novelty 6.0 of 10

In p-adic string theory the rolling tachyon overshoots its vacuum and oscillates, with bounded anharmonic oscillations for odd p and ever-growing oscillations at constant energy for even p.
Microcausality of Dirac field on noncommutative spacetime
hep-th 2006-03 reject novelty 5.0 of 10

The paper claims microcausality holds for physical Dirac observables on noncommutative spacetime even though the underlying spinor bilinear Moyal commutator does not vanish.

Show 3 more citing papers

Microcausality violation of scalar field on noncommutative spacetime with the time-space noncommutativity
hep-th 2006-03 conditional novelty 5.0 of 10

For a free scalar field on noncommutative spacetime, space-space noncommutativity preserves microcausality while time-space noncommutativity violates it, according to the author's Moyal-star-product calculation.
Schwinger Model In Noncommutating Space-Time
hep-th 2006-03 conditional novelty 5.0 of 10

For the noncommutative bosonized Schwinger model, the massive boson acquires, at first order in the noncommutativity parameter, an interaction with a background source, while unitarity and causality are claimed to persist.
On the unitarity problem in space/time noncommutative theories
hep-th 2002-01 conditional novelty 5.0 of 10

The unitarity violation in space/time noncommutative field theories is argued to be an artifact of the modified Feynman rules, not a property of the theory itself.

How the literature uses it

19 arXiv papers cite this in 26 sentences

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Papers citing it · 21 sentences without a confident label

Cites it as support 1 paper

In [ref] the issue of unitarity violation was carefully examined within noncommutative quantum field theory and interpreted in terms of ghostly tachyonic particles which are produced in the scattering, hence unifying the string theoretical and the quantum field theoretical no-go arguments against noncommuting time.

Noncommutative Time in Quantum Field Theory · String theoretical insights for nonconservation of energy · 0.98

Cites it as background 4 papers

The former case, discussed in Eq. [ref], encodes non-commutativity among space and time coordinates, namely $θ_0i≠0$, while the latter case, in Eq. [ref], corresponds to selecting $θ_0i=0$, ensuring unitarity of the $θ$-Poincaré models [ref] .

Strongest atomic physics bounds on Non-Commutative Quantum Gravity Models · Introduction · 0.81
The light-wedge causality condition corresponds to the reduced symmetry group, $O(1,1)×SO(2)$, of such spacetime [ref] .

On general properties of Lorentz invariant formulation of noncommutative quantum field theory · Introduction · 0.80
We remark that noncommutative field theories typically contain infinitely many time derivatives in their actions, which may lead to apparent violations of unitarity [ref] and causality [ref] .

Exponentially Long Evaporation of Noncommutative Black Hole · Introduction · 0.84

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