Primordial Density Perturbation in Effective Loop Quantum Cosmology

Abstract

It is widely believed that quantum field fluctuation in an inflating background creates the primeval seed perturbation which through subsequent evolution leads to the observed large scale structure of the universe. The standard inflationary scenario produces scale invariant power spectrum quite generically but it produces, unless fine tuned, too large amplitude for the primordial density perturbation than observed. Using similar techniques it is shown that loop quantum cosmology induced inflationary scenario can produce scale invariant power spectrum as well as small amplitude for the primordial density perturbation without fine tuning. Further its power spectrum has a qualitatively distinct feature which is in principle falsifiable by observation and can distinguish it from the standard inflationary scenario.

33 pages, revtex4, few typos and a confusing notation changed; several clarifications, references added, to appear in CQG

References in corpus (6)

• Genericness of Big Bounce in isotropic loop quantum cosmology
• The Bianchi IX model in Loop Quantum Cosmology
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Genericness of inflation in isotropic loop quantum cosmology
• Effective Hamiltonian for Isotropic Loop Quantum Cosmology

Cited by in corpus (34)

• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Anomaly freedom in perturbative loop quantum gravity
• Introduction to Loop Quantum Cosmology
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Observational issues in loop quantum cosmology
• Observational test of inflation in loop quantum cosmology
• Hybrid quantization of an inflationary model: The flat case
• Super-inflation in Loop Quantum Cosmology
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Inflationary observables in loop quantum cosmology
• Thermal fluctuations in loop cosmology
• Primordial scalar power spectrum from the hybrid approach in loop cosmologies
• Relic gravitons as the observable for Loop Quantum Cosmology
• Primordial power spectrum from the dressed metric approach in loop cosmologies
• Observational effects from quantum cosmology
• Inflationary scalar spectrum in loop quantum cosmology
• Constraints on a scale invariant power spectrum from superinflation in LQC
• Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
• Numerical Techniques in Loop Quantum Cosmology
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Path integral duality and Planck scale corrections to the primordial spectrum in exponential inflation
• Gravitational wave generation in loop quantum cosmology
• Cosmology from String T-duality and zero-point length
• The cosmological perturbation theory in loop cosmology with holonomy corrections
• Universe scenarios from loop quantum cosmology
• On solutions of loop quantum cosmology
• Dynamics of k-essence in loop quantum cosmology
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas