Bohm quantum trajectories of scalar field in trans-Planckian physics
type: Item
instance of: scholarly article
title: Bohm quantum trajectories of scalar field in trans-Planckian physics
zbMATH Open document ID: 1263.81007
DOI: 10.1155/2012/312841
author: Jung-Jeng Huang
published in: Advances in High Energy Physics
publication date: 2013-05-21T00:00:00Z
review text: Summary: In lattice Schrödinger picture, we investigate the possible effects of trans-Planckian physics on the quantum trajectories of scalar field in de Sitter space within the framework of the pilot-wave theory of de Broglie and Bohm. For the massless minimally coupled scalar field and the Corley-Jacobson type dispersion relation with sextic correction to the standard-squared linear relation, we obtain the time evolution of vacuum state of the scalar field during slow-roll inflation. We find that there exists a transition in the evolution of the quantum trajectory from well before horizon exit to well after horizon exit, which provides a possible mechanism to solve the riddle of the smallness of the cosmological constant.
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 81Q65
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 81T25
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 6164445
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/312841
OpenAlex ID: W2020288243
Wikidata QID: Q58698387
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description: scientific article; zbMATH DE number 6164445