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Quantum scalar field theories with fractional operators

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Article Astronomy & Astrophysics

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Gianluca Calcagni

Summary: In this work, a class of perturbative theories of quantum gravity based on fractional operators is proposed, with the construction of classical actions and derivation of equations of motion for each theory. The study shows that unitarity and power-counting renormalizability do not coexist in these theories, although one-loop unitarity and finiteness are possible in some cases. One of the theories is found to be unitary and infrared-finite, serving as a ghost-free model with large-scale modifications of general relativity.

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