Fractional powers in QFT kinetic terms can be consistently formulated in Minkowski space using fakeon methods, yielding multiple inequivalent theories that match in Euclidean space, with standard identities preserved.
Anselmi, Dressed propagators, fakeon self-energy and peak uncertainty, J
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Ghosts lack asymptotic particle interpretation due to interference and different Riemann-sheet pole structures compared to decaying unstable particles, with finite-time effects producing narrower resonances and higher peaks.
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Fractions and Fakeons in Quantum Field Theory
Fractional powers in QFT kinetic terms can be consistently formulated in Minkowski space using fakeon methods, yielding multiple inequivalent theories that match in Euclidean space, with standard identities preserved.
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Ghosts versus Unstable Particles in Quantum Field Theory
Ghosts lack asymptotic particle interpretation due to interference and different Riemann-sheet pole structures compared to decaying unstable particles, with finite-time effects producing narrower resonances and higher peaks.