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high-energy physics theory

Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States

arXiv:1610.07275

summary

The paper applies the Rayleigh‑Ritz Hamiltonian truncation method to supersymmetric quantum mechanics with flat directions, extracting scattering matrices and metastable resonances, and demonstrates the approach on an N=1 toy supermembrane model and an N=4 U(1) gauge‑chiral system.

Abstract

We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances. The effectiveness of the method is demonstrated in two strongly coupled systems: an N=1 toy supermembrane model, and an N=4 model with a U(1) gauge multiplet and a charged chiral multiplet.

26 pages, 15 figures; typos corrected

Topics & keywords

#supersymmetric quantum mechanics#hamiltonian truncation#s-matrix#metastable states#gauge theoryRayleigh-Ritzflat directionsN=1 supermembraneN=4 U(1) gauge multipletcharged chiral multiplet