Perturbative Approach to Higher Derivative and Nonlocal Theories

Mao-Chuang Yeh; Pei-Ming Ho; Tai-Chung Cheng

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Perturbative Approach to Higher Derivative and Nonlocal Theories

Tai-Chung Cheng, Pei-Ming Ho, Mao-Chuang Yeh

High Energy Physics - Theory · Submitted 19 Nov 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It enables us to construct a consistent Poisson structure and Hamiltonian with only first time derivatives order by order in coupling.

how it is stated · asserted 0.94 read the record →

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arXiv IDhep-th/0111160 (version 3)

Pith IDVNJM523D, Pith's permanent record of this paper and its review

CitationMao-Chuang Yeh, Pei-Ming Ho, Tai-Chung Cheng. "Perturbative Approach to Higher Derivative and Nonlocal Theories." arXiv:hep-th/0111160 (2001). https://pith.science/paper/VNJM523D

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.09 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We review a perturbative approach to deal with Lagrangians with higher or infinite order time derivatives.	contribution 0.86	0.36	0.10	asserted 0.93
s1	It enables us to construct a consistent Poisson structure and Hamiltonian with only first time derivatives order by order in coupling.	result 0.53	0.78	0.46	asserted 0.94
s2	To the lowest order, the Hamiltonian is bounded from below whenever the potential is.	result 1.00	0.80	0.27	asserted 0.99
s3	We consider spacetime noncommutative field theory as an example.	contribution 0.55	0.70	0.03	asserted 0.77

What kind of paper the classifier reports this is: review 0.74 · evidence from proof or derivation 0.85.

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The paper

Original abstract

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.

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References

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Geometric Entropies and their Hamiltonian Flows
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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.
Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
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The authors derive the bosonic supersymmetric completion of the mixed gauge-gravitational Chern-Simons term in 5D N=2 supergravity and show its AdS vacuum condition reproduces 4D a-maximization.
Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
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Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
hep-th 2026-06 unverdicted novelty 5.5 of 10

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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Fractional scalar field theory can be recast as a local higher-dimensional or continuum-mass theory, which yields a fakeon-based classicized Lagrangian for the first time.
Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach
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A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.
UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
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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.
Schwinger Model In Noncommutating Space-Time
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For the noncommutative bosonized Schwinger model, the massive boson acquires, at first order in the noncommutativity parameter, an interaction with a background source, while unitarity and causality are claimed to persist.
Avoiding Dark Energy with 1/R Modifications of Gravity
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A review concludes that local f(R) gravity is too tunable and matter-sensitive to be a satisfying dark-energy explanation, and points instead to a nonlocal effective action from inflation.

How the literature uses it

10 arXiv papers cite this in 18 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Uses its method or tool 2 papers

The aim of the present paper is to quantize a two-dimensional noncommutative QED perturbatively in the first order approximation using the method described in [ref] .

Perturbative quantization of two-dimensional space-time noncommutative QED · Introduction · 0.99
We use the following procedure in the canonical formalism [ref] .

Geometric Entropies and their Hamiltonian Flows · Particle example · 0.98

Compares with it 1 paper

This feature marks a major difference from the perturbative treatments of nonlocal theories [ref] .

UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox · Nonlocality in String Field Theory · 0.84

Cites it as support 1 paper

If we view the higher derivatives simply as corrections and expand perturbatively around the two-derivative solutions, then we have the same degrees of freedom as the two-derivative theory, and all our issues with instabilities and ghosts go away [ref] .

Explorations in Precision Holography and Higher-derivative Supergravity · Higher derivatives · 0.96

Cites it as background 4 papers

These include field redefinitions [ref] , constraint-based reductions [ref] , and order-by-order constructions of an effective canonical structure [ref] .

Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach · Introduction · 0.98
As for dealing with ghosts, attempts can be classified according to whether the approach is perturbative [ref] or not [ref] , but a definite answer is yet to be found.

An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais-Uhlenbeck Oscillator · Introduction · 0.98
As for dealing with ghosts attempts can be classified according to whether the approach is perturbative [ref] or not [ref] , but a definite answer is yet to be found.

Coping with the Pais-Uhlenbeck oscillator's ghosts in a canonical approach · Introduction · 0.97

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