Phase structure and graviton propagators in lattice formulations of four-dimensional quantum gravity

We examine the phase structure of standard Regge calculus in four dimensions and compare our Monte Carlo results with those of the -Regge model as well as with another formulation of lattice gravity derived from group-theoretical considerations. Within all of the three models of quantum gravity we f...

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Bibliographic Details
Main Authors: Riedler, Jürgen (Author) , Beirl, Wolfgang (Author) , Bittner, Elmar (Author) , Hauke, Alf (Author) , Homolka, Peter (Author) , Markum, Harald (Author)
Format: Article (Journal)
Language:English
Published: 1999
In: Classical and quantum gravity
Year: 1999, Volume: 16, Issue: 4, Pages: 1163-1173
ISSN:1361-6382
DOI:10.1088/0264-9381/16/4/006
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0264-9381/16/4/006
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Author Notes:Jürgen Riedler, Wolfgang Beirl, Elmar Bittner, Alf Hauke, Peter Homolka and Harald Markum
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Summary:We examine the phase structure of standard Regge calculus in four dimensions and compare our Monte Carlo results with those of the -Regge model as well as with another formulation of lattice gravity derived from group-theoretical considerations. Within all of the three models of quantum gravity we find an extension of the well-defined phase to negative gravitational couplings and a new phase transition. In contrast to the well known transition at positive coupling there is evidence for a continuous phase transition which is essential for a continuum limit. We calculate two-point functions between geometrical quantities at the corresponding critical point and estimate the masses of the respective interaction particles.
Item Description:Gesehen am 18.10.2022
Physical Description:Online Resource
ISSN:1361-6382
DOI:10.1088/0264-9381/16/4/006