Abstract
In {mathcal {N}}=1 supersymmetric Yang–Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits. In this paper we present the numerical results of an analysis of the supersymmetric Ward identities for our available gauge ensembles at different values of the inverse gauge coupling beta and of the hopping parameter kappa . The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.
Highlights
LSYM = −1 4 Fμaν F a,μν + i 2 λa γ μ(Dμλ)a − m g 2 λaλa, (1)where the first term, containing the field strength tensor Fμaν, is the gauge part, and Dμ in the second term is the covariant derivative in the adjoint representation of the gauge group SU(Nc), Nc being the number of colors
In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits
The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry
Summary
Where the first term, containing the field strength tensor Fμaν, is the gauge part, and Dμ in the second term is the covariant derivative in the adjoint representation of the gauge group SU(Nc), Nc being the number of colors. The physical spectrum of this theory is expected to consist of bound states of gluons and gluinos, arranged in mass degenerate supermultiplets if SUSY is not broken [5,6]. The adjoint link variables are defined by Vab,xμ = 2 tr (Ux†μTaUxμTb), where Ta are the generators of the gauge group, and the hopping parameter κ is related to the bare gluino mass mgby κ = 1/(2mg + 8). In order to approach the limit of vanishing gluino mass, the hopping parameter has to be tuned properly. SU(2) and SU(3) non-perturbatively from first principles using Monte Carlo techniques [4,9,10,11], and obtained mass degenerate supermultiplets [12]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
