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.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Physik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
ISSN: | 2470-0010 |
Sprache: | Englisch |
Dokumenten ID: | 114991 |
Datum der Veröffentlichung auf Open Access LMU: | 02. Apr. 2024, 08:08 |
Letzte Änderungen: | 02. Apr. 2024, 08:08 |
DFG: | Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390814868 |