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Investigations of supersymmetric Yang--Mills theories

2022/01/21 by Angel Sherletov, Sherletov, Angel, David Schaich +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2201.08626

openalex publication_date 2022/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present new results from ongoing lattice investigations of supersymmetric Yang--Mills (SYM) theories in three and four space-time dimensions. First considering the maximally supersymmetric 3d theory with Q = 16 supercharges, we check that the fermion pfaffian is approximately real and positive, validating phase-quenched RHMC calculations. We then initiate lattice studies of running couplings and non-perturbative β functions for Q = 16 SYM in both 3d and 4d, using a simple scheme based on Creutz ratios. Finally, we consider 3d SYM with Q = 8 supercharges, developing new software as a first step towards supersymmetric QCD.

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