Complete Hamiltonian analysis of cosmological perturbations at all orders. Issue 6 (21st June 2016)

• Record Type: Journal Article
• Authors: Nandi, Debottam; Shankaranarayanan, S.
• Is Part Of: Journal of cosmology and astroparticle physics. Volume 2016:Issue 6(2016)
• Page Start: 038
• Page End: 038
• Publication Date: 2016-06-21
• Subjects: cosmological perturbation theory -- gravity -- inflation -- non-gaussianity; Cosmology -- Periodicals; Astrophysics -- Periodicals; 523.0105
• DOI: 10.1088/1475-7516/2016/06/038
• Languages: English
• ISSNs: 1475-7516

Abstract

Abstract: In this work, we present a consistent Hamiltonian analysis of cosmological perturbations at all orders. To make the procedure transparent, we consider a simple model and resolve the `gauge-fixing' issues and extend the analysis to scalar field models and show that our approach can be applied to any order of perturbation for any first order derivative fields. In the case of Galilean scalar fields, our procedure can extract constrained relations at all orders in perturbations leading to the fact that there is no extra degrees of freedom due to the presence of higher time derivatives of the field in the Lagrangian. We compare and contrast our approach to the Lagrangian approach (Chen et al. [2006]) for extracting higher order correlations and show that our approach is efficient and robust and can be applied to any model of gravity and matter fields without invoking slow-roll approximation.