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 the 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.
Item Type: | Journal article |
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Faculties: | Physics |
Subjects: | 500 Science > 530 Physics |
ISSN: | 2470-0010 |
Language: | English |
Item ID: | 114991 |
Date Deposited: | 02. Apr 2024, 08:08 |
Last Modified: | 02. Apr 2024, 08:08 |
DFG: | Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390814868 |