Investigations of supersymmetric Yang-Mills theories



Sherletov, A and Schaich, D ORCID: 0000-0002-9826-2951
(2022) Investigations of supersymmetric Yang-Mills theories. .

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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.

Item Type: Conference or Workshop Item (Unspecified)
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 30 Aug 2022 14:26
Last Modified: 18 Jan 2023 20:46
URI: https://livrepository.liverpool.ac.uk/id/eprint/3162736