Idioma:

Bootstrapping Matrix Quantum Mechanics

Han, Xizhi ; Hartnoll, Sean A. ; Kruthoff, Jorrit

Physical review letters, 2020-07, Vol.125 (4), p.1-041601, Article 041601 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Bootstrapping Matrix Quantum Mechanics
Autor: Han, Xizhi ; Hartnoll, Sean A. ; Kruthoff, Jorrit
Assuntos: Anharmonicity ; Gauge invariance ; Quantum mechanics ; Quantum physics
É parte de: Physical review letters, 2020-07, Vol.125 (4), p.1-041601, Article 041601
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
USDOE
de-sc0018134
Descrição: Large N matrix quantum mechanics is central to holographic duality but not solvable in the most interesting cases. We show that the spectrum and simple expectation values in these theories can be obtained numerically via a "bootstrap" methodology. In this approach, operator expectation values are related by symmetries-such as time translation and SU(N) gauge invariance-and then bounded with certain positivity constraints. We first demonstrate how this method efficiently solves the conventional quantum anharmonic oscillator. We then reproduce the known solution of large N single matrix quantum mechanics. Finally, we present new results on the ground state of large N two matrix quantum mechanics.
Editor: College Park: American Physical Society
Idioma: Inglês

Links

Voltar para lista de resultados