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

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

doi:10.1007/jhep03(2018)113

Cited by 30 publications

(28 citation statements)

References 23 publications

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“…Comparing Left: 0 ++ 'glueball' and fermionic 'gluino-glue' particle masses vs. the 'adjoint pion' mass squared, from Ref. [108]. The m 2 π → 0 extrapolations of these masses agree within uncertainties even at a fixed lattice spacing, supporting the formation of supermultiplets expected in the chiral continuum limit.…”

Section: Minimally Supersymmetric Yang-mills (N = 1 Sym) In Four Dimementioning

confidence: 63%

“…3 shows recent SU(3) results from Ref. [108] for the masses of two composite states expected to form (part of) a degenerate multiplet in the supersymmetric continuum chiral limit [114,115]: the 0 ++ 'glueball' and the fermionic 'gluino-glue' particle. Even at a fixed lattice spacing the chiral extrapolations of these masses agree within uncertainties.…”

Section: Minimally Supersymmetric Yang-mills (N = 1 Sym) In Four Dimementioning

confidence: 97%

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Progress and prospects of lattice supersymmetry

Schaich¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a nonperturbative regularization suitable for strongly interacting systems. Lattice investigations of supersymmetric field theories are currently making significant progress, though many challenges remain to be overcome. In this brief overview I discuss particularly notable progress in three areas: supersymmetric Yang-Mills (SYM) theories in fewer than four dimensions, as well as both minimal N = 1 SYM and maximal N = 4 SYM in four dimensions. I also highlight super-QCD and sign problems as prominent challenges that will be important to address in future work. Progress and prospects of lattice supersymmetry David Schaich Introduction, motivation and backgroundSupersymmetry plays prominent roles in modern theoretical physics, as a tool to improve our understanding of quantum field theory (QFT), as an ingredient in many new physics models, and as a means to study quantum gravity via holographic duality. Lattice field theory provides a nonperturbative regularization for QFTs, and other contributions to these proceedings document the prodigious success of this framework applied to QCD and similar theories. It is natural to consider employing lattice field theory to investigate supersymmetric QFTs, especially in strongly coupled regimes. In this proceedings I review the recent progress and future prospects of lattice studies of supersymmetric systems, focusing on four-dimensional gauge theories and their dimensional reductions to d < 4. 1 Lattice supersymmetry now has more than four decades of history [1], much of which is reviewed by Refs. [2 -7]. Unfortunately, progress in this field has been slower than for QCD, in large part because the lattice discretization of space-time breaks supersymmetry. This occurs in three main ways. First, the anti-commutation relation Q α , Qα = 2σ µ αα P µ in the super-Poincaré algebra connects the spinorial generators of supersymmetry transformations, Q α and Qα, to the generator of infinitesimal space-time translations, P µ . The absence of infinitesimal translations on the lattice consequently implies broken supersymmetry.Next, bosonic and fermionic fields are typically discretized differently on the lattice (in part due to the famous fermion doubling problem). In the specific context of supersymmetric gauge theories, standard discretizations associate the gauginos with lattice sites n (i.e., they transform as G(n)λ α (n)G † (n) under a lattice gauge transformation) while the gauge connections are associated with links between nearest-neighbor sites, transforming as G(n)U µ (n)G † (n + a µ) where 'a' is the lattice spacing. Away from the a → 0 continuum limit, these differences prevent supersymmetry transformations from correctly interchanging superpartners.Finally, supersymmetry requires a derivative operator that obeys the Leibniz rule [1], viz. ∂ [φη] = [∂φ] η + φ∂η, which is violated by standard la...

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Section: Minimally Supersymmetric Yang-mills (N = 1 Sym) In Four Dimementioning

confidence: 63%

Section: Minimally Supersymmetric Yang-mills (N = 1 Sym) In Four Dimementioning

confidence: 97%

Progress and prospects of lattice supersymmetry

Schaich¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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“…Supersymmetry is explicitly broken by the lattice formulation, but for this theory it has been shown that it is sufficient to restore chiral symmetry in the continuum limit to recover supersymmetry [1]. The mass spectrum and chiral properties of SYM theory have been extensively studied on the lattice with Wilson fermions for the gauge groups SU(2) [2] and SU(3) [3,4]. The next step towards a supersymmetric standard model is the inclusion of matter fields in the fundamental representation, leading to supersymmetric QCD (SQCD).…”

Section: Introductionmentioning

confidence: 99%

$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory - Towards simulations of Super-QCD

Wellegehausen¹,

Wipf²

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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N = 1 supersymmetric QCD (SQCD) is a possible building block of theories beyond the standard model. It describes the interaction between gluons and quarks with their superpartners, gluinos and squarks. Since supersymmetry is explicitly broken by the lattice regularization, a careful fine-tuning of operators is necessary to obtain a supersymmetric continuum limit. For the pure gauge sector, N = 1 Supersymmetric Yang-Mills theory, supersymmetry is only broken by a non-vanishing gluino mass. If we add matter fields, this is no longer true and more operators in the scalar squark sector have to be considered for fine-tuning the theory. Guided by a one-loop calculation in lattice perturbation theory, we show that maintaining chiral symmetry in the light sector is nevertheless an important step. Furthermore, we present first preliminary lattice results on the fine-tuning and Ward-identities of SQCD.

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“…In addition, the light superpartners of known particles may serve as candidates for dark matter in our universe. The research presented in these proceedings is focused on four-dimensional supersymmetric quantum chromodynamics (Super-QCD) [1,2] and its essential building block, the N = 1 Super-Yang-Mills (SYM) theory with gauge group SU (3). To study the non-perturbative features of this theory, we employ lattice simulations.…”

Section: Introductionmentioning

confidence: 99%

“…To study the non-perturbative features of this theory, we employ lattice simulations. Related investigations are performed by the DESY-Münster collaboration [3,4,5].…”

Section: Introductionmentioning

confidence: 99%

$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory - Pure Gauge sector with a twist

Steinhauser¹,

Sternbeck²,

Wellegehausen³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Supersymmetric gauge theories are an essential part of most theories beyond the standard model. In the present work we investigate the pure gauge sector of Super-QCD focusing on the bound states, i.e. mesonic gluinoballs, gluino-glueballs and pure glueballs. To improve chiral properties and to minimize breaking of supersymmetry at finite lattice spacing, we introduce a deformed Super-Yang-Mills lattice action. It contains a twist term, similar to the twisted-mass formulation of lattice QCD. We furthermore explore if the multigrid method (DDαAMG solver) applied to the gluinos (adjoint Majorana fermions) achieves similar improvements as in QCD.

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

Cited by 30 publications

References 23 publications

Progress and prospects of lattice supersymmetry

Progress and prospects of lattice supersymmetry

$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory - Towards simulations of Super-QCD

$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory - Pure Gauge sector with a twist

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