Analysis of Ward identities in supersymmetric Yang–Mills theory

Self Cite

In this article we summarise our results from numerical simulations of N = 1 supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses of various bound states have been obtained at different values of the gluino mass and gauge coupling. Extrapolations to the limit of vanishing gluino mass indicate that the bound states form mass-degenerate supermultiplets.

Section: Signals For Supersymmetry and Chiral Symmetry Restorationmentioning

confidence: 99%

Section: Signals For Supersymmetry and Chiral Symmetry Restorationmentioning

confidence: 99%

Section: Signals For Supersymmetry and Chiral Symmetry Restorationmentioning

confidence: 99%

Section: Glueballs Gluino-glueballs and The Supermultiplet Formationmentioning

confidence: 99%

See 2 more Smart Citations

The light bound states of $$ \mathcal{N}=1 $$ supersymmetric SU(3) Yang-Mills theory on the lattice

Ali¹,

Bergner²,

Gerber³

et al. 2018

Self Cite

“…This tuning can be achieved in different ways. One way is to determine the point where the renormalised gluino mass vanishes from the supersymmetric Ward identities [11]. Another way is to employ the adjoint pion mass, which is defined in a partially quenched approach [12], and to extrapolate to the point where it vanishes.…”

Section: Supersymmetric Yang-mills Theory On the Latticementioning

confidence: 99%

Variational analysis of low-lying states in supersymmetric Yang-Mills theory

Ali¹,

Bergner²,

Gerber³

et al. 2019

Self Cite

We have calculated the masses of bound states numerically in N = 1 supersymmetric Yang-Mills theory with gauge group SU(2). Using the suitably optimised variational method with an operator basis consisting of smeared Wilson loops and mesonic operators, we are able to obtain the masses of the ground states and first excited states in the scalar, pseudoscalar and spin-½ sectors. Extrapolated to the continuum limit, the corresponding particles appear to be approximately mass degenerate and to fit into the predicted chiral supermultiplets. The extended operator basis including both glueball-like and mesonic operators leads to improved results compared to earlier studies, and moreover allows us to investigate the mixing content of the physical states, which we compare to predictions in the literature.

$$ \mathcal{N} $$ = 1 Super-Yang-Mills theory on the lattice with twisted mass fermions

Steinhauser

Sternbeck

Wellegehausen

et al. 2021

Super-Yang-Mills theory (SYM) is a central building block for supersymmetric extensions of the Standard Model of particle physics. Whereas the weakly coupled subsector of the latter can be treated within a perturbative setting, the strongly coupled subsector must be dealt with a non-perturbative approach. Such an approach is provided by the lattice formulation. Unfortunately a lattice regularization breaks supersymmetry and consequently the mass degeneracy within a supermultiplet. In this article we investigate the properties of $$ \mathcal{N} $$ N = 1 supersymmetric SU(3) Yang-Mills theory with a lattice Wilson Dirac operator with an additional parity mass, similar as in twisted mass lattice QCD. We show that a special 45° twist effectively removes the mass splitting of the chiral partners. Thus, at finite lattice spacing both chiral and supersymmetry are enhanced resulting in an improved continuum extrapolation. Furthermore, we show that for the non-interacting theory at 45° twist discretization errors of order $$ \mathcal{O}(a) $$ O a are suppressed, suggesting that the same happens for the interacting theory as well. As an aside, we demonstrate that the DDαAMG multigrid algorithm accelerates the inversion of the Wilson Dirac operator considerably. On a 163× 32 lattice, speed-up factors of up to 20 are reached if commonly used algorithms are replaced by the DDαAMG.