# NONCOMMUTATIVE SPACETIME EFFECT ON THE SLOW-ROLL PERIOD OF INFLATION

@article{Kim2005NONCOMMUTATIVESE, title={NONCOMMUTATIVE SPACETIME EFFECT ON THE SLOW-ROLL PERIOD OF INFLATION}, author={Hungsoo Kim and Gil Sang Lee and Yun Soo Myung}, journal={Modern Physics Letters A}, year={2005}, volume={20}, pages={271-283} }

We study how the noncommutative spacetime affects inflation. First we obtain the noncommutative power spectrum of the curvature perturbations produced during inflation in the slow-roll approximation. This is the explicit k-dependent power spectrum up to first order in slow-roll parameters e1, δ1 including the noncommutative parameter μ. In order to test the role of μ further, we calculate the noncommutative power spectrum using the slow-roll expansion. We find corrections which arise from the…

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## References

SHOWING 1-10 OF 32 REFERENCES

### Noncommutative spacetime, stringy spacetime uncertainty principle, and density fluctuations

- Physics
- 2002

We propose a variation of spacetime noncommutative field theory to realize the stringy spacetime uncertainty relation without breaking any of the global symmetries of the homogeneous isotropic…

### The density perturbation power spectrum to second-order corrections in the slow-roll expansion

- Physics
- 2001

### The Promise of string cosmology

- Physics
- 2001

The interplay between string theory and cosmology is very promising. Since string theory will yield a quantum theory of space-time and unify all forces of nature, it has the potential of addressing…

### Spectrum of density perturbations produced during inflation to leading order in a general slow-roll approximation

- Mathematics
- 2002

The standard calculation of the spectrum of density perturbations produced during inflation assumes (i) $|n\ensuremath{-}1|\ensuremath{\ll}1$ and (ii)…

### String theory.

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 1998

The current “standard model” of particle physics—which is nearly 25 years old, has much experimental evidence in its favor and is comprised of six quarks, six leptons, four forces, and the as yet unobserved Higgs boson—contains internal indications that it, too, may be just another step along the path toward uncovering the truly fundamental degrees of freedom.

### String theory

- MathematicsJournal of Symbolic Logic
- 1974

Abstract For each n > 0, two alternative axiomatizations of the theory of strings over n alphabetic characters are presented. One class of axiomatizations derives from Tarski's system of the…

### Phys. Rev. D

- Phys. Rev. D
- 2002

### Astrophys

- J. 599 (2003) 1 [astro-ph/0303211]; S. L. Bridle, A. M. Lewis, J. Weller and G. Efstathiou, Mon. Not. Roy. Astron. Soc. 342
- 2003