Solving the simplest theory of quantum gravity

By S. Dubovsky, Raphael Flauger, V. Gorbenko. 2012

270 citations recorded by the source corpus.

A bstractWe solve what is quite likely the simplest model of quantum gravity, the worldsheet theory of an infinitely long, free bosonic string in Minkowski space. Contrary to naive expectations, this theory is non-trivial. We illustrate this by constructing its exact factorizable S-matrix. Despite its simplicity, the theory exhibits many of the salient features expected from more mature quantum gravity models, including the absence of local off-shell observables, a minimal length, as well as (integrable relatives of) black holes. All these properties follow from the exact S-matrix. We show that the complete finite volume spectrum can be reconstructed analytically from this S-matrix with the help of the thermodynamic Bethe Ansatz. We argue that considered as a UV complete relativistic 2-dimensional quantum field theory the model exhibits a new type of renormalization group flow behavior, “asymptotic fragility”. Asymptotically fragile flows do not originate from a UV fixed point.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4542f260efbbd671faacd7509abd878d12de2694

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Citations in the corpus

The effective theory of long strings (2013, methodology): “2) is exact was considered in the recent reference [69], but it is not related to the effective strings that we consider here.”
Moving the CFT into the bulk with TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} (2016, methodology): “A first simple check is that the leading order interaction term in the NG action indeed takes the form of a T T̄ interaction [2, 3].”
Natural tuning: towards a proof of concept (2013, background): “From the viewpoint of the perturbed CFT321 the scale ΛGUT sets the size of irrelevant perturbations.”
Asymptotic fragility, near AdS2 holography and TT¯$$ T\overline{T} $$ (2017, methodology): “In particular, as discussed in detail in [1], one does not expect to find sharply defined local observables in a dressed theory.”
TT¯-deformed 2D quantum field theories (2016, methodology): “As we will discuss shortly, they correspond to spectral singularities that may signal the breakdown of the theory at short distances, such as the famous Hagedorn singularity of the Nambu-Goto spectrum (see [6, 9] for a recent discussion of this phenomenon in the framework of TBA).”
Towards a 2d QFT analog of the SYK model (2017, background): “Using the results of [29][32], one finds that the free energy of a deformed CFT with action SCFT + ∫ μT T̄ has the following small temperature expansion −βFCFT+μTT̄ = − cβ 12 + π(2)c 3β − π (3)μc(2) 72β3 + .”
Effective string theory revisited (2012, background): “This deficiency will be fixed to some extent in the upcoming companion paper [24], and this concluding section may be considered as a brief summary of our results there and an invitation to read [24].”
An integrable Lorentz-breaking deformation of two-dimensional CFTs (2017, background): “resent is thus only justiﬁed at scales larger than µand it provides a simple operatorial way to derive the deformed spectrum, which in the TT¯ case has been checked against a variety of other methods [7,20]. 4The holomorphic coordinate on the cylinder is related to the non-compact coordinate on the ”