Asymptotic Search for Ground States of SU(2) Matrix Theory
M.B. Halpern (UC Berkeley, LBNL), C. Schwartz (UC Berkeley)
TL;DR
This paper develops an asymptotic method using gauge-invariant variables and a Born-Oppenheimer approach to identify potential ground states of SU(2) matrix theory, including a spin(9) singlet candidate.
Contribution
It introduces a novel asymptotic search method for ground states in SU(2) matrix theory, focusing on gauge invariance and stability analysis.
Findings
Identified ground state candidates including a spin(9) singlet
Provided a set of asymptotic solutions for the Schrödinger equation
Highlighted the need for further stability testing of candidates
Abstract
We introduce a complete set of gauge-invariant variables and a generalized Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic solutions of the Schrodinger equation of SU(2) matrix theory. The asymptotic method gives only ground state candidates, which must be further tested for global stability. Our results include a set of such ground state candidates, including one state which is a singlet under spin(9).
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