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arXiv · 2111.03620

Black-Hole-Like Saturons in Gross-Neveu

Gia Dvali·Otari Sakhelashvili
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Abstract

It has been argued recently that objects of maximal microstate entropy permitted by unitarity, the so-called saturons, have properties similar to black holes. We demonstrate the existence of such objects in Gross-Neveu model. From the large-$N$ scaling of $S$-matrix, we deduce the connection between the entropy of the bound-state and the unitarity of scattering. We observe that upon saturation of unitarity, the bound state exhibits a remarkable correspondence with a black hole. The scaling of its entropy is identical to Bekenstein-Hawking entropy. The saturon decays via Hawking's thermal rate of temperature given by the inverse size. The information retrieval time from the Gross-Neveu saturon is isomorphic to Page's time. Our observations indicate that black hole properties are exhibited by saturated states in simple calculable models.

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Gia Dvali, Otari Sakhelashvili. 2021-11-05. Black-Hole-Like Saturons in Gross-Neveu. https://doi.org/10.1103/physrevd.105.065014

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