Numerical Results for the Lightest Bound States in 
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 Supersymmetric SU(3) Yang-Mills Theory

Ali, Sajid; Bergner, Georg; Gerber, Henning; Montvay, I.; Münster, Gernot; Piemonte, Stefano; Scior, Philipp

doi:10.1103/physrevlett.122.221601

Cited by 24 publications

(26 citation statements)

References 35 publications

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“…The N -ality dependence of confining string tensions is a probe of the confinement mechanism [51] and could be compared with studies of confining string tensions in both analytic and lattice setups [50,[52][53][54][55][56][57]. Further, our observation of the ∆ (as opposed to Y) shape of excited heavy baryons in SYM, should it extend to the theory on R 4 , could be viewed as a prediction for the nature of SYM heavy baryons and could be checked in future lattice simulations of SYM, as in [58][59][60]. We also note that the nature of DWs, of deconfinement on their worldvolume, and of confining strings has not been addressed in detail in other classes of theories to which similar considerations apply, such as nonsupersymmetric dYM and QCD(adj) on R 3 × S 1 .…”

Section: Future Workmentioning

confidence: 88%

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

Cox

Poppitz

Wong

2019

J. High Energ. Phys.

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We study the physics of quark deconfinement on domain walls in four-dimensional supersymmetric SU (N ) Yang-Mills theory, compactified on a small circle with supersymmetric boundary conditions. We numerically examine the properties of BPS domain walls connecting vacua k units apart. We also determine their electric fluxes and use the results to show that Wilson loops of any nonzero N -ality exhibit perimeter law on all k-walls. Our results confirm and extend, to all N and k, the validity of the semiclassical picture of deconfinement of Anber, Sulejmanpasic and one of us (EP), arXiv:1501.06773, providing a microscopic explanation of mixed 0-form/1-form anomaly inflow. arXiv:1909.10979v3 [hep-th] 3 Dec 2019 7 Another property of Wilson loops on DWs with an R 3 worldvolume, i.e. in the R 4 theory, namely their nontrivial braiding (discussed e.g. in [38,46]), cannot be seen in the small-L setup of this paper, as the quarks' worldlines would have to cross.8 Stemming from the results of [19], as explained in EP's talk at Continuous Advances in QCD-2016, see https://conservancy.umn.edu/handle/11299/180346. 9 We have in mind objects composed of N heavy (of mass M Λ) quarks, approaching the static spectator limit (the color flux picture of Fig. 2a may be of relevance for excited dynamical baryons). ∆ vs. Y baryons in lattice QCD, also including light dynamical quarks, are discussed in [47]. 10 In historical order, see [1,2] and the instanton calculation of [3,4] (completed recently in [8,61]).

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Section: Future Workmentioning

confidence: 88%

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

Cox

Poppitz

Wong

2019

J. High Energ. Phys.

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“…Therefore, only one (excited) contribution has been determined with a value between 0.7 and 1.5 in lattice units, depending on the number of stout smearing steps. In [17,24] it was reported that the lowest state of the pseudoscalar glueball is comparable with the first excited states of mesonic states and the gluino-glue. This agrees with our observations.…”

Section: Glueballsmentioning

confidence: 95%

“…More recently the spectrum of the low lying bound states [24] and supersymmetric Ward identities [25] have been calculated for N = 1 SYM with gauge group SU (3). Besides these studies with Wilson fermions, first investigations and simulations with domain wall fermions and overlap have been presented in [26][27][28] and [29,30].…”

Section: Jhep01(2021)154mentioning

confidence: 99%

“…The authors found that the a-η and 0 −+ operators do not mix in the variational basis, even though both lead to the same masses for the exited states when analyzed individually. In [24], in which SU(3) N = 1 SYM theory has been addressed, the scalar glueball and a-f 0 interpolation operators were combined into a variational basis. Both operators showed a good overlap with the lowest state and mixing occurs.…”

Section: Chiral Limitmentioning

confidence: 99%

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

Steinhauser

Sternbeck

Wellegehausen

et al. 2021

J. High Energ. Phys.

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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.

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“…Independent lattice calculations of the N =1 SYM theory with an untwisted lattice action are performed by the DESY-Münster collaboration. Their investigations cover the spectrum for gauge group SU(3) [7,8], variational analysis of the SU(2) spectrum [9,10] and the chiral symmetry in thermal SU(2) N = 1 SYM theory using the gradient flow [11,12].…”

Section: Lattice Formulation With a Twistmentioning

confidence: 99%

$\mathcal{N}=1$ Supersymmetric SU(3) Gauge Theory with a Twist

Steinhauser¹,

Sternbeck²,

Wellegehausen³

et al. 2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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Numerical Results for the Lightest Bound States in N=1 Supersymmetric SU(3) Yang-Mills Theory

Cited by 24 publications

References 35 publications

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

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

$\mathcal{N}=1$ Supersymmetric SU(3) Gauge Theory with a Twist

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