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Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
Tatsuo Azeyanagi1, Frank Ferrari1,2, Fidel I Schaposnik Massolo2
1Université libre de Bruxelles (ULB) and International Solvay Institutes Service de Physique Théorique et Mathématique Campus de la Plaine, CP 231, B-1050 Bruxelles, Belgique.
Abstract:
We study the Schwinger-Dyson equations of a fermionic planar matrix quantum mechanics [or tensor and Sachdev-Ye-Kitaev (SYK) models] at leading melonic order. We find two solutions describing a high entropy, SYK black-hole-like phase and a low entropy one with trivial IR behavior. There is a line of first order phase transitions that terminates at a new critical point. Critical exponents are nonmean field and differ on the two sides of the transition. Interesting phenomena are also found in unstable and stable bosonic models, including Kazakov critical points and inconsistency of SYK-like solutions of the IR limit.
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