Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space
Yue Lei, Suddhasattwa Brahma, Robert Brandenberger
TL;DR
This paper investigates bosonic multi-matrix quantum mechanics using collective field theory, focusing on three matrix models, deriving effective Hamiltonians, and analyzing vacuum solutions and their stability.
Contribution
It introduces a collective field approach to multi-matrix quantum mechanics and provides new insights into the effective Hamiltonian and vacuum stability analysis.
Findings
Derived the effective Hamiltonian for the collective field
Analyzed the vacuum solution and its stability
Focused on three specific matrix models
Abstract
We study quantum mechanics of bosonic multi-matrix Lagragians in the collective field framework, with particular emphasis on three matrix models. We derive the effective Hamiltonian of the collective field and study the vacuum solution and its stability.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.