Analysis of the critical behaviour of de Sitter quantum gravity on a hypercubic lattice
Physics Letters B, ISSN: 0370-2693, Vol: 193, Issue: 2, Page: 237-240
1987
- 11Citations
- 2Captures
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Article Description
We present the first results concerning the critical behaviour of quantum gravity on a lattice. By making use of the formulation of gravity as a gauge theory, we analyse the phase content of the de Sitter model, for the choice of the Haar measure as the integration measure needed to quantize the theory. With the help of two order parameters, which look at the symmetry breakings SO(5)→SO(4)→SO(3)×SO(3)/Z 2, we put into evidence, on a lattice 8 4, a first-order transition which precludes the possibility of defining a continuum limit theory. An interesting frustration effect is detected at low coupling constant.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/0370269387912287; http://dx.doi.org/10.1016/0370-2693(87)91228-7; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=45949121304&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/0370269387912287; https://api.elsevier.com/content/article/PII:0370269387912287?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:0370269387912287?httpAccept=text/plain; http://dx.doi.org/10.1016/0370-2693%2887%2991228-7; https://dx.doi.org/10.1016/0370-2693%2887%2991228-7
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