Nonequilibrium Dynamics of the σ-Model Modes on the de Sitter Space
Author
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The two-dimensional σ-model with the de Sitter target space is locally canonic in the north pole diamond of the Penrose diagram in the cosmological gauge.
The left and right moving modes on the cylindrical base space are entangled among themselves and interact with the de Sitter metric.
Firstly, we show that the untangled oscillators can be obtained from the entangled operators by applying a set of Bogoliubov transformations constrained by the requirement that the partial evolution generator be diagonal.
Secondly, we determine the nonequilibrium dynamics of the untangled modes in the nonequilibrium thermofield dynamics formalism.
The thermal modes are represented as thermal doublet oscillators that satisfy partial evolution equations of Heisenberg-type.
From these we compute the local free one-body propagator of an arbitrary mode between two times.
Thirdly, we discuss the field representation of the thermal modes.
We show that there is a set of thermal doublet fields that satisfy the equal time canonical commutation relations, are solutions to the σ-model equations of motion, and can be decomposed in terms of thermal doublet oscillators.
Finally, we construct a local partial evolution functional of Hamilton-like form for the thermal doublet fields.
American Psychological Association (APA)
Vancea, I. V.. 2017. Nonequilibrium Dynamics of the σ-Model Modes on the de Sitter Space. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1122022
Modern Language Association (MLA)
Vancea, I. V.. Nonequilibrium Dynamics of the σ-Model Modes on the de Sitter Space. Advances in High Energy Physics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1122022
American Medical Association (AMA)
Vancea, I. V.. Nonequilibrium Dynamics of the σ-Model Modes on the de Sitter Space. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1122022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122022