Investigations of supersymmetric Yang--Mills theories

Sherletov, Angel and Schaich, David 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 $\beta$ 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)
Additional Information:	Contribution to LATTICE 2021
Uncontrolled Keywords:	hep-lat, hep-lat, hep-th
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Jul 2022 07:40
Last Modified:	18 Jan 2023 20:56
Related URLs:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3158832