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Numerical investigations of Supersymmetric Yang-Mills Quantum Mechanics\n with 4 supercharges

2014/11/25 by Zbigniew Ambrozinski, Ambrozinski, Zbigniew, Piotr Korcyl +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1411.6904

openalex publication_date 2014/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on our non-perturbative investigations of supersymmetric Yang-Mills\nquantum mechanics with 4 supercharges. We employ two independent numerical\nmethods. First of them is the cut Fock space method whose numerical\nimplementation was recently generalized to include the SU(N) gauge group. It\nallowed us to calculate for the first time the spectrum of the model with SU(3)\nsymmetry in all fermionic sectors. Independently, we implemented the Rational\nHybrid Monte Carlo algorithm and reproduced the accessible part of the\nlow-energy spectrum of the model with SU(2) gauge symmetry. We argue that by\nsimulating at imaginary chemical potential one can get access to observables\ndefined in sectors of Hilbert space with a given quark number.\n

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