# Perturbative approach to higher derivative and nonlocal theories

@article{Cheng2001PerturbativeAT, title={Perturbative approach to higher derivative and nonlocal theories}, author={Taiwang Cheng and Pei-Ming Ho and Mao-Chuang Yeh}, journal={Nuclear Physics}, year={2001}, volume={625}, pages={151-165} }

## 49 Citations

### Perturbative approach to higher derivative theories with fermions

- Physics
- 2002

We extend the perturbative approach developed in an earlier work to deal with Lagrangians which have arbitrary higher order time derivative terms for both bosons and fermions. This approach enables…

### PERTURBATIVE HAMILTONIAN CONSTRAINTS FOR HIGHER-ORDER THEORIES

- Physics
- 2011

We present an alternative method for constructing a consistent perturbative low energy canonical formalism for higher-order time-derivative theories, which consists in applying the standard Dirac…

### Canonical formalism and quantization of the perturbative sector of higher-derivative theories

- Physics
- 2007

The theories defined by Lagrangians containing a second time derivative are considered. It is shown that if the second derivatives enter only the terms multiplied by coupling constant one can…

### Troubles with spacetime noncommutative theories: tachyons or S-branes?

- Physics, Mathematics
- 2004

We find lorentzian solutions of spacetime noncommutative gauge theories that are localized exponentially in space and time. Together with time translational invariance of the theories, we argue that…

### ON THE QUESTION OF DECONFINEMENT IN NONCOMMUTATIVE SCHWINGER MODEL

- Physics
- 2008

The (1+1)-dimensional bosonized Schwinger model with a generalized gauge-invariant regularization has been studied in a noncommutative scenario. The original commutative model with the indicated…

### Quantization of a Complex Higher Order Derivative Theory using Path Integrals

- Mathematics
- 2014

This work addresses the quantization of a self-interacting higher order time derivative theory using path integrals. To quantize this system and avoid the problems of energy not bounded from below…

## References

SHOWING 1-10 OF 73 REFERENCES

### Hamiltonian formalism for nonlocal Lagrangians

- Physics
- 1994

A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining an equivalent singular first order Lagrangian, which is processed according to the standard…

### Remarks on the canonical quantization of noncommutative theories

- Mathematics
- 2001

Free noncommutative fields constitute a natural and interesting example of constrained theories with higher derivatives. The quantization methods involving constraints in the higher derivative…

### Canonical quantization of fields with higher-derivative couplings

- Mathematics
- 1977

It is shown with the use of a model of scalar fields how canonical quantization can be carried out when the free part of the Lagrangian density involves only the first derivatives, while the coupling…

### Stability of flat space, semiclassical gravity, and higher derivatives.

- PhysicsPhysical review. D, Particles and fields
- 1991

Flat space is shown to be perturbatively stable, to first order in ħ, against quantum fluctuations produced in semiclassical (or 1/N expansion) approximations to quantum gravity, despite past…

### Canonical formalism for Lagrangians with nonlocality of finite extent

- Physics, Mathematics
- 2000

I consider Lagrangians which depend nonlocally in time but in such a way that there is no mixing between times differing by more than some finite value {Delta}t. By considering these systems as the…

### Higher-derivative Lagrangians, nonlocality, problems, and solutions.

- MathematicsPhysical review. D, Particles and fields
- 1990

A natural method of removing all the problems of higher derivatives is reviewed, and a method of "perturbative constraints" is required for at least one class of higher-derivative theories---those which are associated with nonlocality.