Asymptotic Search for Ground States of SU(2) Matrix Theory
arXiv:hep-th/9712133 · doi:10.1142/S0217751X98002110
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).
51 pages
References in corpus (2)
Cited by in corpus (45)
- M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
- Introduction to M(atrix) theory and noncommutative geometry
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
- Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models
- Spectra of supersymmetric Yang-Mills quantum mechanics
- Supersymmetry vs ghosts
- High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
- The Quantum Mechanics SUSY Algebra: An Introductory Review
- Comments on thermodynamics of supersymmetric matrix models
- The M(atrix) model of M-theory
- Three Graviton Scattering in M-Theory
- On Asymptotic Hamiltonian for SU(N) Matrix Theory
- Supermembranes and M(atrix) Theory
- Mini-BFSS in Silico
- On Stable Sector in Supermembrane Matrix Model
- On the SO(9) structure of supersymmetric Yang-Mills quantum mechanics
- Supersymmetric Yang-Mills quantum mechanics in various dimensions
- Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
- Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models
- Zero Energy States for SU(N): A Simple Exercise in Group Theory ?
- Generalized Conformal Quantum Mechanics of D0-brane
- Towards the lattice study of M-theory (II)
- Towards the Ground State of the Supermembrane
- 0-brane Quantum Chemistry
- The ground state of the D=11 supermembrane and matrix models on compact regions
- D0 Matrix Mechanics: New Fuzzy Solutions at Large N
- Spiky membranes
- Octonionic twists for supermembrane matrix models
- Massless ground state for a compact SU(2) matrix model in 4D
- On the groundstate of octonionic matrix models in a ball
- Light-cone SU(2) Yang-Mills theory and conformal mechanics
- Matrix Quantization of Classical Nambu Brackets and Super -Branes
- Dbrane boundstate wavefunctions
- Hamiltonian study of Supersymmetric Yang-Mills Quantum Mechanics
- Measure of the potential valleys of the supermembrane theory
- Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
- Towards the lattice study of M-theory
- Asymptotic Supergraviton States in Matrix Theory
- Regge Trajectories by 0-Brane Matrix Dynamics
- Existence of a Supersymmetric Massless Ground State of the Matrix Model globally on its Valleys
- D-instantons and Matrix Models
- A general procedure to find ground state solutions for finite M(atrix) theory. Reduced models and SUSY quantum cosmology
- Optimized Fock space in the large N limit of quartic interactions in Matrix Models
- Two-Graviton Interaction in PP-Wave Background in Matrix Theory and Supergravity