Spectroscopy of four-dimensional <i>N</i> = 1 supersymmetric SU(3) Yang-Mills theory

Steinhauser, M.; Sternbeck, André; Wellegehausen, Björn; Wipf, Andreas

doi:10.1051/epjconf/201817508022

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…One major effort by the DESY-Münster-Regensburg-Jena Collaboration, currently using clover improvement, has made significant progress in recent years [103 -110]. A second group recently began exploring a SYM analogue of the twisted-mass fermion action [111,112], aiming to improve the formation of composite supermultiplets at nonzero gaugino masses and lattice spacings, and thereby gain better control over the chiral and continuum extrapolations.…”

Section: Minimally Supersymmetric Yang-mills (N = 1 Sym) In Four Dime...mentioning

confidence: 99%

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 Dime...mentioning

confidence: 99%

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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“…First results for this theory by our collaboration can be found in [8][9][10]. Another investigation of this theory is presented in [11]. Our simulations rely on the specific approach of using Wilson fermions and a tuning of the gluino mass to restore chiral symmetry and supersymmetry.…”

Section: Jhep03(2018)113mentioning

confidence: 99%

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

Ali¹,

Bergner²,

Gerber³

et al. 2018

J. High Energ. Phys.

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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.

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“…Their results confirm the formation of the predicted super-multiplets and reveal, that the glueballs are heavier than the mesons. Simulations for the gauge group SU (3) are underway [20,21]. Another strategy is to look at the dimensionally reduced model, namely N = (2, 2) SYM theory in two dimensions.…”

mentioning

confidence: 99%

Mass spectrum of 2-dimensional $$ \mathcal{N}=\left(2,2\right) $$ super Yang-Mills theory on the lattice

August

Steinhauser

Wellegehausen

et al. 2019

J. High Energ. Phys.

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In the present work we analyse N = (2, 2) supersymmetric Yang-Mills (SYM) theory with gauge group SU (2) in two dimensions by means of lattice simulations. The theory arises as dimensional reduction of N = 1 SYM theory in four dimensions. As in other gauge theories with extended supersymmetry, the classical scalar potential has flat directions which may destabilize numerical simulations. In addition, the fermion determinant need not be positive and this sign-problem may cause further problems in a stochastic treatment. We demonstrate that N = (2, 2) super Yang-Mills theory has actually no sign problem and that the flat directions are lifted and thus stabilized by quantum corrections. Only the bare mass of the scalars experience a finite additive renormalization in this finite theory. On various lattices with different lattice constants we determine the scalar masses and hopping parameters for which the supersymmetry violating terms are minimal. By studying four Ward identities and by monitoring the π-mass we show that supersymmetry is indeed restored in the continuum limit. In the second part we calculate the masses of the low-lying bound states. We find that in the infinite-volume and supersymmetric continuum limit the Veneziano-Yankielowicz super-multiplet becomes massless and the Farrar-Gabadadze-Schwetz super-multiplet decouples from the theory. In addition, we estimate the masses of the excited mesons in the Veneziano-Yankielowicz multiplet. We observe that the gluino-glueballs have comparable masses to the excited mesons.

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Spectroscopy of four-dimensional N = 1 supersymmetric SU(3) Yang-Mills theory

Cited by 5 publications

References 16 publications

Progress and prospects of lattice supersymmetry

Progress and prospects of lattice supersymmetry

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

Mass spectrum of 2-dimensional $$ \mathcal{N}=\left(2,2\right) $$ super Yang-Mills theory on the lattice

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