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Non-unitarity of Minkowskian non-local quantum field theories

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arxiv 2103.00353 v1 pith:OOIGCXAG submitted 2021-02-27 hep-th gr-qc

Fabio Briscese , Leonardo Modesto This is my paper
classification hep-thgr-qc
keywords fieldnon-localminkowskiancutkoskydiagramquantumrulesscalar
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that Minkowskian non-local quantum field theories are not unitary. We consider a simple one loop diagram for a scalar non-local field and show that the imaginary part of the corresponding complex amplitude is not given by Cutkosky rules, indeed this diagram violates the unitarity condition. We compare this result with the case of an Euclidean non-local scalar field, that has been shown to satisfy the Cutkosky rules, and we clearly identify the reason of the breaking of unitarity of the Minkowskian theory.

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Cited by 3 Pith papers

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

  1. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    A subclass of Gödel universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for special nonlocal form factors.

  2. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Gödel-type universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for a special class of form factors.

  3. Eikonal, nonlocality and regular black holes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.

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