Spectrum of softly broken<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>supersymmetric Yang-Mills theory

Farrar, Glennys R.; Gabadadze, Gregory; Schwetz, Myckola

doi:10.1103/physrevd.60.035002

Cited by 27 publications

(59 citation statements)

References 40 publications

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“…Analytic calculations based on lowenergy effective actions predict a supermultiplet of bound states consisting of mesonic gluinoballs and fermionic gluino-glue particles [2]. It was later extended by an additional multiplet containg states created by glueball operators [3,4]. We investigate the members of both multiplets on the lattice by means of suitable operators.…”

Section: Jhep03(2018)113mentioning

confidence: 99%

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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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Section: Jhep03(2018)113mentioning

confidence: 99%

“…In fact, scenarios have been proposed for the multiplet structure of the lightest bound states of this theory [2][3][4], and several analytical calculations have been presented for the chiral condensate, see [5] and references therein. The bound state spectrum is the main focus of our current investigations.…”

Section: Introductionmentioning

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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“…The VY Lagrangian concisely summarizes the symmetries of the underlying theory in terms of a "minimal" number of degrees of freedom whose choice is not unambiguous. Generalizations of the VY Lagrangian containing more degrees of freedom were discussed in the literature [21,22]. These extensions were triggered, in part, by lattice simulations of SYM spectrum [23].…”

Section: Reviewing Sym Effective Lagrangianmentioning

confidence: 99%

Effective Lagrangians for orientifold theories

Sannino¹,

Shifman

2004

Phys. Rev. D

106

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We construct effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric theories which are orientifold daughters of supersymmetric gluodynamics (containing one Dirac fermion in the two-index antisymmetric or symmetric representation of the gauge group). Since the parent and daughter theories are planar equivalent, at N → ∞ the effective Lagrangians in the orientifold theories basically coincide with the bosonic part of the VY Lagrangian.We depart from the supersymmetric limit in two ways. First, we consider finite (albeit large) values of N . Then 1/N effects break supersymmetry. We suggest seemingly the simplest modification of the VY Lagrangian which incorporates these 1/N effects, leading to a non-vanishing vacuum energy density. We analyze the spectrum of the finite-N non-supersymmetric daughters. For N = 3 the two-index antisymmetric representation (one flavor) is equivalent to one-flavor QCD. We show that in this case the scalar quark-antiquark state is heavier than the corresponding pseudoscalar state, " η ′ ". Second, we add a small fermion mass term. The fermion mass term breaks supersymmetry explicitly. The vacuum degeneracy is lifted. The parity doublets split. We evaluate the splitting. Finally, we include the θ-angle and study its implications.

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“…The spectrum of massless states was calculated and shown to be in qualitative agreement with QCD. Work continues in an effort to find correspondence with QCD [12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry breaking and effective Lagrangians for softly broken supersymmetric QCD

Martin

Wells²

1998

Phys. Rev. D

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We study supersymmetric QCD with N f < N c in the limit of small supersymmetrybreaking masses and smaller quark masses using the weak-coupling Kähler potential. We calculate the full spectrum of this theory, which manifests a chiral symmetry breaking pattern similar to that caused by the strong interactions of the standard model. We derive the chiral effective lagrangian for the pion degrees of freedom, and discuss the behavior in the formal limit of large squark and gluino masses and for large N c . We show that the resulting scalings of the pion decay constant and pion masses in these limits differ from those expected in ordinary nonsupersymmetric QCD. Although there is no weak coupling expansion with N f = N c , we extend our results to this case by constructing a superfield quantum modified constraint in the presence of supersymmetry breaking. †

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Spectrum of softly brokenN=1supersymmetric Yang-Mills theory

Cited by 27 publications

References 40 publications

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

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

Effective Lagrangians for orientifold theories

Chiral symmetry breaking and effective Lagrangians for softly broken supersymmetric QCD

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