Solving the simplest theory of quantum gravity
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Publication:1796001
DOI10.1007/JHEP09(2012)133zbMATH Open1397.83036arXiv1205.6805OpenAlexW2039106995MaRDI QIDQ1796001
Author name not available (Why is that?)
Publication date: 16 October 2018
Published in: (Search for Journal in Brave)
Abstract: We 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, a maximum achievable (Hagedorn) temperature, 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 two-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.
Full work available at URL: https://arxiv.org/abs/1205.6805
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