Supersymmetric Yang-Mills theory: a first step towards the continuum

Bergner, Georg

doi:10.22323/1.139.0055

Cited by 7 publications

(6 citation statements)

References 10 publications

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“…This article concludes our studies of the bound states spectrum of SU(2) SYM, see [8,9,10,11,12] and references therein for previous work of our collaboration. In [8] a rather large gap between bosonic and fermionic masses in the mass spectrum was obtained.…”

Section: Introductionmentioning

confidence: 62%

The light bound states of supersymmetric SU(2) Yang-Mills theory

Bergner¹,

Giudice²,

Münster³

et al. 2016

J. High Energ. Phys.

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Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of quantum field theories. We summarise here our investigations of N = 1 supersymmetric Yang-Mills theory with SU(2) gauge symmetry using the non-perturbative first-principles method of numerical lattice simulations. The strong interactions of gluons and their superpartners, the gluinos, lead to confinement, and a spectrum of bound states including glueballs, mesons, and gluino-glueballs emerges at low energies. For unbroken supersymmetry these particles have to be arranged in supermultiplets of equal masses. In lattice simulations supersymmetry can only be recovered in the continuum limit since it is explicitly broken by the discretisation. We present the first continuum extrapolation of the mass spectrum of supersymmetric Yang-Mills theory. The results are consistent with the formation of supermultiplets and the absence of non-perturbative sources of supersymmetry breaking. Our investigations also indicate that numerical lattice simulations can be applied to non-trivial supersymmetric theories.

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Section: Introductionmentioning

confidence: 62%

The light bound states of supersymmetric SU(2) Yang-Mills theory

Bergner¹,

Giudice²,

Münster³

et al. 2016

J. High Energ. Phys.

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“…The signal for this part of the correlators is rather noisy. Our methods for the measurement include truncated eigenmode approximation and preconditioning to improve the signal, see [23] for further details. The results contain still quite large uncertainties, see figure 5, but we are able to obtain the first estimates of the masses also in the mesonic channel.…”

Section: The Completion Of the Chiral Multiplet By Mesonic Gluinoballsmentioning

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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“…The sign of the Pfaffian can be determined by counting the number of negative real eigenvalues of 𝐷 𝑊 [10][11][12]. On each configuration 𝑈 𝜇 generated by the RHMC algorithm, we compute the complex eigenvalues of 𝐷 𝑊 near the origin of the complex plane using ARPACK [13,14] to determine the sign used in the reweighting method when evaluating observables.…”

Section: Simulation Methodsmentioning

confidence: 99%

Large $N$ simulation of the twisted reduced matrix model with an adjoint Majorana fermion

Butti¹,

Pérez²,

González-Arroyo³

et al. 2021

Preprint

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To investigate the properties of the large 𝑁 limit of N = 1 SUSY Yang-Mills theory, we have started a study for a reduced matrix model with an adjoint Majorana fermion. The gauge action is based on the Wilson action and the adjoint-fermion one is the Wilson-Dirac action on a reduced lattice with twisted gauge boundary condition. We employ the RHMC algorithm in which the absolute value of the Pfaffian is incorporated. The sign of the Pfaffian is included with the re-weighting method and separately measured as an observable. In this talk, we show the configuration generation status towards the large 𝑁 limit and the behavior of the lowest/lower eigenvalue(s) of the Wilson-Dirac adjoint fermion operator. We investigated the sign of the Pfaffian and the critical hopping parameters for the chiral limit. The sign of the Pfaffian is always positive on the configurations we have generated. The critical hopping parameters derived from the eigenvalues of the Dirac operator are consistent with those derived from the PCAC mass relation with non-singlet flavor adjoint fermions.

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Supersymmetric Yang-Mills theory: a first step towards the continuum

Cited by 7 publications

References 10 publications

The light bound states of supersymmetric SU(2) Yang-Mills theory

The light bound states of supersymmetric SU(2) Yang-Mills theory

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

Large $N$ simulation of the twisted reduced matrix model with an adjoint Majorana fermion

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