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EnglishA renormalizable theory of gravity is obtained if the dimension-less 4-derivative kinetic term of the graviton, which classically suffers from negative unbounded energy, admits a sensible quantization. We find that a 4-derivative degree of freedom involves a canonical coordinate with unusual time-inversion parity, and that a correspondingly unusual representation must be employed for the relative quantum operator. The resulting theory has positive energy eigenvalues, normalizable wavefunctions, unitary evolution in a negative-norm configuration space. We present a formalism for quantum mechanics with a generic norm.
| Autori interni: | |
| Autori: | Salvio, Alberto; Strumia, Alessandro |
| Titolo: | Quantum mechanics of 4-derivative theories |
| Anno del prodotto: | 2016 |
| Abstract: | A renormalizable theory of gravity is obtained if the dimension-less 4-derivative kinetic term of the graviton, which classically suffers from negative unbounded energy, admits a sensible quantization. We find that a 4-derivative degree of freedom involves a canonical coordinate with unusual time-inversion parity, and that a correspondingly unusual representation must be employed for the relative quantum operator. The resulting theory has positive energy eigenvalues, normalizable wavefunctions, unitary evolution in a negative-norm configuration space. We present a formalism for quantum mechanics with a generic norm. |
| Digital Object Identifier (DOI): | 10.1140/epjc/s10052-016-4079-8 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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| artGhost.pdf | Versione finale editoriale |  | Open AccessVisualizza/Apri |
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