English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Fields and Laplacians on Quantum Geometries

Thürigen, J. (2015). Fields and Laplacians on Quantum Geometries. In The Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity (pp. 2168-2170). World Scientific Publishing.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EB42-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-A5F1-A
Genre: Conference Paper

Files

show Files
hide Files
:
1302.7135 (Preprint), 112KB
Name:
1302.7135
Description:
File downloaded from arXiv at 2013-03-26 12:24
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Thürigen, Johannes1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: In fundamentally discrete approaches to quantum gravity such as loop quantum gravity, spin-foam models, group field theories or Regge calculus observables are functions on discrete geometries. We present a bra-ket formalism of function spaces and discrete calculus on abstract simplicial complexes equipped with geometry and apply it to the mentioned theories of quantum gravity. In particular we focus on the quantum geometric Laplacian and discuss as an example the expectation value of the heat kernel trace from which the spectral dimension follows.

Details

show
hide
Language(s):
 Dates: 2013-02-2820132015
 Publication Status: Published in print
 Pages: 3 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1302.7135
URI: http://arxiv.org/abs/1302.7135
 Degree: -

Event

show
hide
Title: 13th Marcel Grossmann Meeting (MG13)
Place of Event: Stockholm
Start-/End Date: 2012-07-01 - 2012-07-07

Legal Case

show

Project information

show

Source 1

show
hide
Title: The Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: World Scientific Publishing
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 2168 - 2170 Identifier: ISBN: 9789814623995