Physics from the Lattice: Glueballs in QCD; Topology; SU(N) for All N

Teper, M.

doi:10.1007/0-306-47056-x_3

Cited by 21 publications

(30 citation statements)

References 57 publications

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“…In order to compare our results from bulk/boundary holographic mapping with those coming from lattice we adopt the mass of the first state as an input. Our results are in good agreement with lattice [33,34] and AdS-Schwarzschild black hole supergravity calculations as seen in table I. It is interesting to mention that an approach to estimate glueball masses in Yang Mills * from a deformed AdS space was discussed very recently in [35].…”

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confidence: 88%

QCD/String holographic mapping and glueball mass spectrum

2004

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Recently Polchinski and Strassler reproduced the high energy QCD scaling at fixed angles from a gauge string duality inspired in AdS/CFT correspondence. In their approach a confining gauge theory is taken as approximately dual to an AdS space with an IR cut off. Considering such an approximation (AdS slice) we found a one to one holographic mapping between bulk and boundary scalar fields. Associating the bulk fields with dilatons and the boundary fields with glueballs of the confining gauge theory we also found the same high energy QCD scaling. Here, using this holographic mapping we give a simple estimate for the mass ratios of the glueballs assuming the AdS slice approximation to be valid at low energies. We also compare these results to those coming from supergravity and lattice QCD. Recently Polchinski and Strassler reproduced important observed properties of QCD from string theory in AdS space [1,2]. In these articles they used a model for the dual of a confining gauge theory which is approximately an AdS slice with an infrared cut off. Using this model they were able[1] to obtain the high energy scaling of QCD scattering amplitudes for fixed angles [3,4] as well as the Regge regime. Further they proposed[2] a way of analyzing the deep inelastic scattering and Bjorken scaling in terms of string theory. Using the same kind of AdS slice we proposed[5] a one to one holographic mapping between low energy string dilaton states in AdS bulk and massive composite operators on its boundary. From this mapping we also obtained a scaling for high energy amplitudes at fixed angles similar to that of QCD and of Polchinski and Strassler (see also [6,7,8]).The gauge/string duality considered in refs. [1, 2] was inspired in the AdS/CFT correspondence proposed recently by Maldacena[9] where SU(N) conformal gauge theory with N = 4 supersymmetry is dual to string theory in AdS space (times a compact manifold). The prescriptions for realizing of this correspondence obtaining boundary correlation functions in terms of bulk fields were proposed in [10,11] (see also [12] for a review). The AdS/CFT correspondence can be understood as a realization of the holographic principle [13,14,15,16]. This principle asserts that the degrees of freedom of a theory with gravity defined in a given space can be mapped on the corresponding boundary.In the AdS/CFT correspondence the higher the energy of a given boundary process, the closer to the horizon is the bulk dual. Restricting boundary process to energies higher than some IR cut off would then correspond to restricting the bulk to some region in the neighborhood of the horizon. That is a motivation for taking an AdS slice as an approximation for the space dual to a boundary confining gauge theory. Such a gauge theory with an * Electronic address: boschi@if.ufrj.br † Electronic address: braga@if.ufrj.br infrared cut off can be related to N = 1 * supersymmetric Yang Mills theory[1, 2] (see also [17]). This model leads to QCD like behavior at high energies. An AdS slice was used before in [18,...

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confidence: 88%

QCD/String holographic mapping and glueball mass spectrum

2004

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“…We find that this mass spectrum M G =1.6 GeV is almost consistent with the scalar glueball mass that the lattice QCD predicts for the lowest state [2][3][4][5][6].…”

Section: Glueball As the Flux-tube Ring Solutionsupporting

confidence: 82%

Flux-tube ring and glueball properties in the dual Ginzburg-Landau theory

1999

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An intuitive approach to the glueball using the flux-tube ring solution in the dual Ginzburg-Landau theory is presented. The description of the flux-tube ring as the relativistic closed string with the effective string tension enables us to write the hamiltonian of the flux-tube ring using the Nambu-Goto action.Analyzing the Schrödinger equation, we discuss the mass spectrum and the wave function of the glueball. The lowest glueball state is found to have the mass M G ∼ 1.6 GeV and the size R G ∼ 0.5 fm.

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“…Our results are presented in table 1 together with lattice [1,2] and AdS-Schwarzschild black hole supergravity [10] calculations. From this table one can see that our simple approximation is in good agreement with these previous calculations.…”

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confidence: 99%

“…From this table one can see that our simple approximation is in good agreement with these previous calculations. Table 1: Masses of the first few 0 ++ four dimensional glueballs with SU (N ) and N = 3, in GeV, from lattice QCD [1,2], from AdS-Schwarzschild black hole supergravity (AdS-BH) [10] and our results from AdS slice normal modes eq. (7).…”

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Gauge/string duality and scalar glueball mass ratios

Boschi-Filho

Braga

2003

J. High Energy Phys.

213

204

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It has been shown by Polchinski and Strassler that the scaling of high energy QCD scattering amplitudes can be obtained from string theory. They considered an AdS slice as an approximation for the dual space of a confining gauge theory. Here we use this approximation to estimate in a very simple way the ratios of scalar glueball masses imposing Dirichlet boundary conditions on the string dilaton field. These ratios are in good agreement with the results in the literature. We also find that they do not depend on the size of the slice.

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Physics from the Lattice: Glueballs in QCD; Topology; SU(N) for All N

Cited by 21 publications

References 57 publications

QCD/String holographic mapping and glueball mass spectrum

QCD/String holographic mapping and glueball mass spectrum

Flux-tube ring and glueball properties in the dual Ginzburg-Landau theory

Gauge/string duality and scalar glueball mass ratios

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