Quantum Gravity via Random Triangulations of R^4 and Gravitons as Goldstone Bosons of SL(4)/O(4)

Yigal Shamir

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arXiv · hep-th/9410120

Quantum Gravity via Random Triangulations of R^4 and Gravitons as Goldstone Bosons of SL(4)/O(4)

Yigal Shamir

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Abstract

A model of random triangulations of a domain in $R^{(4)}$ is presented. The global symmetries of the model include SL(4) transformations and translations. If a stable microscopic scale exists for some range of parameters, the model should be in a translation invariant phase where SL(4) is spontaneously broken to O(4). In that phase, SL(4) Ward identities imply that the correlation length in the spin two channel of a symmetric tensor field is infinite. Consequently, it may be possible to identify the continuum limit of four dimensional Quantum Gravity with points inside that phase.

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Yigal Shamir. 1994-10-18. Quantum Gravity via Random Triangulations of R^4 and Gravitons as Goldstone Bosons of SL(4)/O(4). https://arxiv.org/abs/hep-th/9410120

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