Black-Hole-Like Saturons in Gross-Neveu

Understand

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.