Running of the Spectral Index in Noncommutative Inflation

Abstract

We study the cosmological implications of the space-space noncommutative inflation and present formulae for the spectral index and its running. Our results show that deviations from the spectral index and its running depend on the space-space noncommutativity length scale. We conclude that in the slow-roll regime of a typical inflationary scenario, space-space noncommutativity has negligible effects on both the spectral index and its running. Two classes of examples have been studied and comparisons made with the standard slow-roll formulae. The results show that the correction terms to the commutative case are positive for the spectral index and negative for the running of the spectral index. Nevertheless the spectral index in noncommutative spaces is less than one owing to the very small values of the correction terms.

13 pages, accepted for publication in Int.J.Mod.Phys.A

References in corpus (8)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Non-commutative inflation and the CMB
• Spin-Statistics and CPT Theorems in Noncommutative Field Theory
• A Note on Curvature Fluctuation of Noncommutative Inflation
• Running of the Scalar Spectral Index and Observational Signatures of Inflation
• Effects of space-time noncommutativity on the angular power spectrum of the CMB
• Berry's phase in noncommutative spaces

Cited by in corpus (11)

• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Neutrino spin oscillations in gravitational fields in non-commutative Spaces
• Dynamical Noncommutative Graphene
• Black-Body Radiation Of Noncommutative Gauge Fields
• A Note on Noncommutative Brane Inflation
• Non-commutative effects on gravitational measurements
• Noncommutative KKLMMT Model
• Slow-roll reconstruction for running spectral index
• Gravitational measurements in higher dimensions
• Gravitational radiation in dynamical noncommutative spaces