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Perturbative Approach to Higher Derivative and Nonlocal Theories
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Perturbative Approach to Higher Derivative and Nonlocal Theories
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We review a perturbative approach to deal with Lagrangians with higher or infinite order time derivatives. It enables us to construct a consistent Poisson structure and Hamiltonian with only first time derivatives order by order in coupling. To the lowest order, the Hamiltonian is bounded from below whenever the potential is. We consider spacetime noncommutative field theory as an example.
Forward citations
Cited by 6 Pith papers
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
Hawking radiation of a large black hole terminates near the scrambling time under SFT-style nonlocal smearing, producing a macroscopic remnant instead of complete evaporation.
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Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space allows perturbative canonical quantization of theories whose velocity-dependent perturbations alter constraints and phase-space dimension, matching the exact low-energy spectrum and commutators o...
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Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach
A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.
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Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space formalism enables perturbative canonical quantization of higher-derivative perturbed theories, verified on a solvable 2D charged particle model where perturbative results match exact expansion.
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
In a smeared massless scalar on dynamical black hole, outgoing particle number drops to zero after scrambling time due to SFT nonlocality, implying macroscopic remnant.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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