Anomalies of the free loop wave equation in the WKB approximation

Lüscher, Martin; Symanzik, K.; Weisz, Peter

doi:10.1016/0550-3213(80)90009-7

Cited by 615 publications

(725 citation statements)

References 12 publications

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“…The results indicate that the leading correction to the linear dependence of m on L can be expressed in terms of a "Lüscher term", due to the quantum fluctuations of the torelon [118],…”

Section: Lattice Results For Large-n Gauge Theories In (3 + 1) Spacetmentioning

confidence: 98%

Introductory lectures to large- QCD phenomenology and lattice results

Lucini

Panero

2014

Progress in Particle and Nuclear Physics

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“…The results indicate that the leading correction to the linear dependence of m on L can be expressed in terms of a "Lüscher term", due to the quantum fluctuations of the torelon [118],…”

Section: Lattice Results For Large-n Gauge Theories In (3 + 1) Spacetmentioning

confidence: 98%

Introductory lectures to large- QCD phenomenology and lattice results

Lucini

Panero

2014

Progress in Particle and Nuclear Physics

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“…1 Note that D = 26 is required for consistent quantization, but this problem is not relevant for large R. The fact that this formula works quite well for the ground state surface for R > 0.5 fm has been traditionally taken as an indication for the robustness of the string description of gluodynamics [9,10].…”

Section: Adiabatic Gluonic Surfacesmentioning

confidence: 99%

“…The large distance behavior of the adiabatic surfaces is of interest because it is widely held that this behavior is governed by string dynamics [9,10]. The simplest geometric string model is described by the Nambu-Goto action…”

Section: Adiabatic Gluonic Surfacesmentioning

confidence: 99%

Hybrid mesons

Meyer

Swanson

2015

Progress in Particle and Nuclear Physics

199

176

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A review of the theoretical and experimental status of hybrid hadrons is presented. The states π 1 (1400), π 1 (1600), and π 1 (2015) are thoroughly reviewed, along with experimental results from GAMS, VES, Obelix, COMPASS, KEK, CLEO, Crystal Barrel, CLAS, and BNL. Theoretical lattice results on the gluelump spectrum, adiabatic potentials, heavy and light hybrids, and transition matrix elements are discussed. These are compared with bag, string, flux tube, and constituent gluon models. Strong and electromagnetic decay models are described and compared to lattice gauge theory results. We conclude that while good evidence for the existence of a light isovector exotic meson exists, its confirmation as a hybrid meson awaits discovery of its iso-partners. We also conclude that lattice gauge theory rules out a number of hybrid models and provides a reference to judge the success of others.

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“…At large enough interquark distances, the region of the perturbative vacuum among two heavy sources gets "stretched" into a vortex-like configuration, whose excitations cor-respond to string-like modes: this is the scenario underlying the renowned effective string picture for confinement in the IR [1][2][3], based on the idea that the flux lines among the sources in a pure gauge theory get squeezed in a thin, almost uni-dimensional tube. As a consequence, the asymptotic behaviour of the potential is a linear rise.…”

Section: Theorymentioning

confidence: 99%

“…The theoretical background of the effective string in this setting is well-known: the pioneering works by Lüscher, Münster, Symanzik and Weisz [1][2][3] date back to the Eighties, and over the last decades considerable progress has been achieved in understanding the details of the picture [4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

On the effective string spectrum of the tridimensional Bbb Z₂gauge model

Caselle

Hasenbusch

Panero

2006

J. High Energy Phys.

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We study the Z 2 lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop correlation function, which is measured in the 3d Ising spin system using duality. This allows us to perform a stringent comparison with the predictions of effective string models. We find a remarkable agreement between the numerical estimates and the Nambu-Goto predictions for the energy gaps at intermediate and large distances. The precision of our data allows to distinguish clearly between the predictions of the full Nambu-Goto action and the simple free string model up to an interquark distance r ≈ 10/ √ σ. At the same time, our results also confirm the breakdown of the effective picture at short distances, supporting the hypothesis that terms which are not taken into account in the usual Nambu-Goto string formulation yield a non-trivial shift to the energy levels. Furthermore, we discuss the theoretical implications of these results.

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Anomalies of the free loop wave equation in the WKB approximation

Cited by 615 publications

References 12 publications

Introductory lectures to large- QCD phenomenology and lattice results

Introductory lectures to large- QCD phenomenology and lattice results

Hybrid mesons

On the effective string spectrum of the tridimensional Bbb Z₂gauge model

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Anomalies of the free loop wave equation in the WKB approximation

Cited by 615 publications

References 12 publications

Introductory lectures to large- QCD phenomenology and lattice results

Introductory lectures to large- QCD phenomenology and lattice results

Hybrid mesons

On the effective string spectrum of the tridimensional Bbb Z2gauge model

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Product

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On the effective string spectrum of the tridimensional Bbb Z₂gauge model