Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 38, Issue 16, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/ac103c
Keywords
quantum field theory; fractional operators; quantum gravity; multi-fractional spacetimes
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Funding
- I+D Grants of the Spanish Ministry of Science and Innovation [FIS2017-86497-C2-2-P, PID2020-118159GB-C41]
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We studied a class of perturbative scalar quantum field theories characterized by specific operators; some of them are ghost free, some are power-counting renormalizable, but cannot be both; for some of these theories, one-loop calculations result in unitary and finite theories, potentially valid at all orders.
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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