Bootstrap bounds on D0-brane quantum mechanics

A bstract We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski’s virial theorem bound to finite energies and gives the first non-trivial bound on ⟨Tr X 2 ⟩. Despite their simplicity, the bounds...

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Bibliographic Details
Published in:The journal of high energy physics 2023-06, Vol.2023 (6), p.38-19, Article 38
Main Author: Lin, Henry W.
Format: Article
Language:English
Subjects:
Black holes
Black Holes in String Theory
Branes
Classical and Quantum Gravitation
Correlation
Elementary Particles
High energy physics
Lower bounds
M(atrix) Theories
Matrix Models
Matrix theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Virial theorem
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Summary:A bstract We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski’s virial theorem bound to finite energies and gives the first non-trivial bound on ⟨Tr X 2 ⟩. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. Our best lower bounds are already a factor of ∼ 2 from existing Monte Carlo results.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2023)038