English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Gauge field theory coherent states (GCS): III. Ehrenfest theorems

Thiemann, T., & Winkler, O. (2001). Gauge field theory coherent states (GCS): III. Ehrenfest theorems. Classical and Quantum Gravity, 18, 4629-4681.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-561D-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-561E-9
Genre: Journal Article

Files

show Files
hide Files
:
2802.pdf (Preprint), 463KB
Name:
2802.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-

Locators

show

Creators

show
hide
 Creators:
Thiemann, Thomas1, Author              
Winkler, Oliver1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

Content

show
hide
Free keywords: -
 Abstract: In the preceding paper of this series of articles we established peakedness properties of a family of coherent states that were introduced by Hall for any compact gauge group and were later generalized to gauge field theory by Ashtekar, Lewandowski, Marolf, Mourăo and Thiemann. In this paper we establish the ''Ehrenfest property' of these states which are labelled by a point (A,E), a connection and an electric field, in the classical phase space. By this we mean that the expectation values of the elementary operators (and of their commutators divided by i [hbar] , respectively) in a coherent state labelled by the (A,E) are, to zeroth order in [hbar] , given by the values of the corresponding elementary functions (and of their Poisson brackets, respectively) at the point (A,E). These results can be extended to all polynomials of elementary operators and to a certain non-polynomial function of the elementary operators associated with the volume operator of quantum general relativity. These findings are another step towards establishing that the infinitesimal quantum dynamics of quantum general relativity might, to lowest order in [hbar] , indeed be given by classical general relativity.

Details

show
hide
Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 2802
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Classical and Quantum Gravity
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 18 Sequence Number: - Start / End Page: 4629 - 4681 Identifier: -