Discrete and Continuum Third Quantization of Gravity

Steffen Gielen () and Daniele Oriti ()
Additional contact information
Steffen Gielen: Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Daniele Oriti: Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

A chapter in Quantum Field Theory and Gravity, 2012, pp 41-64 from Springer

Abstract: Abstract We give a brief introduction to matrix models and group field theory (GFT) as realizations of the idea of a third quantization of gravity, and present the basic features of a continuum third quantization formalism in terms of a field theory on the space of connections. Building up on the results of loop quantum gravity, we explore to what extent one can rigorously define such a field theory. We discuss the relation between GFT and this formal continuum third-quantized gravity, and what it can teach us about the continuum limit of GFTs.

Keywords: Group field theory; third quantization; loop quantum gravity; lattice gravity; spin foam models. (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0043-3_4

Ordering information: This item can be ordered from
http://www.springer.com/9783034800433

DOI: 10.1007/978-3-0348-0043-3_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().