Quantum scalar field theories with fractional operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 12 Aug 2021Embargo end date: 01 Jan 2021 Spain Publisher:IOP PublishingJournal:Classical and Quantum Gravity, volume 38, page 165,006 (issn: 0264-9381, eissn: 1361-6382,

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Authors: Gianluca Calcagni;

doi: 10.1088/1361-6382/ac103c , 10.48550/arxiv.2102.03363

arXiv: 2102.03363

handle: 10261/260810

Quantum scalar field theories with fractional operators

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Abstract

Abstract 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.

Country

Spain

Related Organizations

Institute for the Structure of Matter
Spain
Spanish National Research Council
Spain

Keywords

High Energy Physics - Theory, Quantum gravity, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Quantum field theory on curved space or space-time backgrounds, General Relativity and Quantum Cosmology, Perturbative methods of renormalization applied to problems in quantum field theory, Multifractional spacetimes, Quantum field theory, Fractional operators, High Energy Physics - Theory (hep-th), fractional operators, quantum gravity, multi-fractional spacetimes, Structure and representation of the Lorentz group, Quantization of the gravitational field, quantum field theory, Relativistic cosmology

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