A note on effective N = 1 super-Yang-Mills theoriesversus lattice results

Cerdeño, David G.; Knauf, Anke; Louis, Jan

doi:10.1140/epjc/s2003-01336-8

Cited by 18 publications

(37 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mass difference between states of opposite parity is bigger than the gluino mass used for the simulations [25]. This implies that it does not seem to be an effect of softly broken supersymmetry, as has been also stressed in [18].…”

Section: Spectrum Of Super Yang-mills Theory From Lattice Resultsmentioning

confidence: 88%

Information on the Super Yang-Mills spectrum

2004

View full text Add to dashboard Cite

We investigate the spectrum of the lightest states of N 1 Super Yang-Mills theory. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a simple Kä hler term we show that within the effective Lagrangian approach one can accommodate either the possibility in which the glueballs are heavier or lighter than the gluinoball fields. We then provide an argument independent from the effective Lagrangian which allows, using information about ordinary QCD, to deduce that the lightest states in Super Yang-Mills theory are the gluinoballs. This helps constraining the Kä hler term of the effective Lagrangian. Using this information and the effective Lagrangian we note that there is a small mixing among the gluinoball and glueball states.

show abstract

Section: Spectrum Of Super Yang-mills Theory From Lattice Resultsmentioning

confidence: 88%

Information on the Super Yang-Mills spectrum

2004

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…However the program of including the purely gluonic operators ("glueballs") as dynamical degrees of freedom turns out to be non trivial [2,3,4,5]. In [2,4,5] the Veneziano-Yankielowicz low energy Lagrangian was extended so as to include all the desired low energy states, which are arranged into two Wess-Zumino supermultiplets. The authors of [3] pointed out on the other hand, that fulfillment of the program requires dynamical SUSY breaking and its consequent absence from the particle spectrum.…”

Section: Introductionmentioning

confidence: 99%

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Farchioni

Peetz

2005

Eur. Phys. J. C

View full text Add to dashboard Cite

We analyze the low energy spectrum of bound states of the N=1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with dynamical gluinos. The dynamics of the gluinos is included by the Two-Step Multi-Bosonic Algorithm (TSMB) for dynamical fermions. A new set of configurations has been generated on a 16 3 · 32 lattice at β = 2.3 and κ = 0.194. The analysis also includes sets of configurations previously generated on a smaller (12 3 · 24) lattice at κ = 0. 1925, 0.194 and 0.1955. Guided by predictions from low energy Lagrangians, we consider spin-1/2, scalar and pseudoscalar particles. The spectrum of SYM is a challenging subject of investigation because of the extremely noisy correlators. In particular, meson-like correlators contain disconnected contributions. The larger time-extention of the 16 3 · 32 lattice allows to observe two-state signals in the effective mass. Finite-volume effects are monitored by comparing results from the two lattice sizes.

show abstract

A note on effective N = 1 super-Yang-Mills theoriesversus lattice results

Cited by 18 publications

References 20 publications

Information on the Super Yang-Mills spectrum

Information on the Super Yang-Mills spectrum

Effective Lagrangians for orientifold theories

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Contact Info

Product

Resources

About