Information on the Super Yang-Mills spectrum

Feo, Alessandra; Merlatti, Paolo; Sannino, Francesco

doi:10.1103/physrevd.70.096004

Cited by 32 publications

(41 citation statements)

References 51 publications

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“…Using a supersymmetry inspired effective Lagrangian approach, 1=N c corrections were investigated in [50]. Information on the super Yang-Mills spectrum has been obtained in [51]. On the validity of the large N c equivalence between different theories and interesting new possible phases, we refer the reader to [52 -54].…”

Section: Two Index Quark Fieldsmentioning

confidence: 99%

Alternative largeNcschemes and chiral dynamics

Sannino

Schechter

2007

Phys. Rev. D

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We compare the dependences on the number of colors of the leading scattering amplitudes using the single index quark field and two index quark fields. These are seen to have different relationships to the scattering amplitudes suggested by chiral dynamics which can explain the long puzzling pion pion s wave scattering up to about 1 GeV. This may be interesting for getting a better understanding of the large N c approach as well as for application to recently proposed technicolor models. DOI: 10.1103/PhysRevD.76.014014 PACS numbers: 13.75.Lb, 11.15.Pg, 11.80.Et, 12.39.Fe I. BACKGROUNDGaining control of QCD in its strongly interacting (low energy) regime constitutes a real challenge. One very attractive approach is based on studying the theory in the large number of colors (N c ) limit [1,2]. At the same time one may obtain more information by requiring the theory to model the (almost) spontaneous breakdown of chiral symmetry [3,4]. A standard test case is pion pion scattering in the energy range up to about 1 GeV. Some time ago, an attempt was made [5,6] to implement this combined scenario. Since the leading large N c amplitude contains only tree diagrams involving mesons of the standard quarkantiquark type, it is expected that the required amplitude should be gotten by calculating just the chiral tree diagrams for rho meson exchange together with the four point pion contact diagram. There are no unknown parameters in this calculation. The crucial question is whether the scattering amplitude calculated in this way will satisfy unitarity. When one compares the result with experimental data up to about 1 GeV on the real part of the (most sensitive to unitarity violation) J I 0 partial wave, one finds (see Fig. 1 of [6]) that the result violates the partial wave unitarity bound by just a ''little bit.'' On the other hand, the pion contact term by itself violates unitarity much more drastically so one might argue that the large N c approach, which suggests that the tree diagrams of all quark antiquark resonances in the relevant energy range be included, is helping a lot. To make matters more quantitative one might ask the question, By how much should N c be increased in order for the amplitude in question to remain within the unitarity bounds for energies below 1 GeV?This question was answered in a very simple way in [7], as we now briefly review. In terms of the conventional amplitude, As; t; u, the I 0 amplitude is 3As; t; u At; s; u Au; t; s. One gets the J 0 channel by projecting out the correct partial wave. The current algebra (pion contact diagram) contribution to the conventional amplitude is A ca s; t; u 2 s ÿ m 2

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Section: Two Index Quark Fieldsmentioning

confidence: 99%

Alternative largeNcschemes and chiral dynamics

Sannino

Schechter

2007

Phys. Rev. D

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“…We finally mention the work [16], in which information on the N = 1 SUSY YM spectrum is obtained by resorting to the orientifold duality between the theory under study and QCD with one quark flavor. In such an approach, the a−η ′ could be the lightest state of the theory without being degenerated with the other states of the aforementioned supermultiplet.…”

Section: B Bound States At Zero Temperaturementioning

confidence: 99%

“…This form is compatible with asymptotic freedom, and it appears that N = 1 SUSY YM is confining at T = 0, as in the ordinary YM case. Several studies have been thus devoted to compute its spectrum with the gauge groups SU(N) [11][12][13][14][15][16]. Moreover, the theory is expected to exhibit a deconfining phase transition: Recent lattice results indicate that it is indeed the case, at least for SU(2) [17].…”

Section: Introductionmentioning

confidence: 99%

The SUSY Yang–Mills plasma in a T-matrix approach

Lacroix

Semay

Buisseret

2015

Int. J. Mod. Phys. A

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The thermodynamic properties of N = 1 supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from non-critical closed superstring theory leads to a prediction for the value of the deconfining temperature T c that agrees with recent lattice data. The deconfined phase is studied by resorting to a T -matrix formulation of statistical mechanics in which the medium under study is seen as a gas of quasigluons and quasigluinos interacting nonperturbatively.Emphasis is put on the temperature range (1-5) T c , where the interaction are expected to be strong enough to generate bound states. Binary bound states of gluons and gluinos are indeed found to be bound up to 1.4 T c for any gauge group. The equation of state is then computed numerically for SU(N ) and G 2 , and discussed in the case of an arbitrary gauge group. It is found to be nearly independent of the gauge group and very close to that of non-supersymmetric Yang-Mills when normalized to the Stefan-Boltzmann pressure and expressed as a function of T /T

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“…As a consequence in Figure 1 (Left) we see that only the glueball 0 −+ is present in the higher supermultiplet. These facts seem to suggest that the glueball states are higher than the gluinoball as argued in [14]. The spectrum of the theory extrapolated to the continuum limit using the inverse of the Sommer scale r 0 is shown in Figure 1 (Right).…”

Section: Pos(eps-hep2015)372mentioning

confidence: 99%

“…Later, other authors [14], using different arguments, and information about ordinary QCD, deduce that the lighter states are gluinoballs. This point has not been totally clarified so far.…”

Section: Mass Spectrum From Effective Lagrangiansmentioning

confidence: 99%