Phase structure of N=1 super Yang-Mills theory from the gradient flow

Lopez, Camilo; Bergner, Georg; Piemonte, Stefano

doi:10.22323/1.334.0212

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…These include explorations of the finite-temperature phase diagram, with Refs. [103,117] reporting that deconfinement (spontaneous center symmetry breaking) and chiral symmetry restoration appear to occur at the same temperature, which was not known a priori. Refs.…”

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

confidence: 99%

“…The ordinary non-supersymmetric gradient flow is already used by many lattice N = 1 SYM projects, to set the scale (as in the right plot of Fig. 3) and improve signals for observables such as the gaugino condensate [117]. Finally, given the progress in algorithms and computing hardware over the past decade, it seems worthwhile to revisit calculations with Ginsparg-Wilson fermions, which could complement and check the ongoing Wilson-fermion work.…”

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

confidence: 99%

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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: 99%

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

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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“…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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Phase structure of N=1 super Yang-Mills theory from the gradient flow

Cited by 2 publications

References 9 publications

Progress and prospects of lattice supersymmetry

Progress and prospects of lattice supersymmetry

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

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