Quantum scalar field theories with fractional operators

Gianluca Calcagni

Quantum scalar field theories with fractional operators

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arxiv 2102.03363 v3 pith:FKVK2DUR submitted 2021-02-05 hep-th gr-qc

Gianluca Calcagni This is my paper

classification hep-thgr-qc

keywords theoriesfieldfinitefractionaloperatorsquantumscalarunitary

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We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension. These theories are either ghost free or power-counting renormalizable but they cannot be both at the same time. However, some of them are one-loop unitary and finite, and possibly unitary and finite at all orders.

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