Ultraviolet Behavior of Non-Abelian Gauge Theories

Gross, David J.; Wilczek, Frank

doi:10.1103/physrevlett.30.1343

Cited by 3,982 publications

(3,398 citation statements)

References 11 publications

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“…And it is easy to show that W (φ) = n 12 φ 2 + 1 so that A(y) = a 2 24 e 2ny + y. Therefore, we arrive at an effective action whose potential V (φ) equals V (φ) = 12 + (2n − n 2 2 )φ 2 + n 2 12 φ 4 . This can be easily generalized to the case with n scalar…”

Section: Effects Of the Condensatesmentioning

confidence: 99%

AdS/QCD phenomenological models from a back-reacted geometry

Shock

et al. 2007

J. High Energy Phys.

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We construct a fully back-reacted holographic dual of a four-dimensional field theory which exhibits chiral symmetry breaking. Two possible models are considered by studying the effects of a five-dimensional field, dual to the qq operator. One model has smooth geometry at all radii and the other dynamically generates a cutoff at finite radius. Both of these models satisfy Einstein's field equations. The second model has only three free parameters, as in QCD, and we show that this gives phenomenologically consistent results. We also discuss the possibility that in order to obtain linear confinement from a backreacted model it may be necessary to consider the condensate of a dimension two operator.

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Section: Effects Of the Condensatesmentioning

confidence: 99%

AdS/QCD phenomenological models from a back-reacted geometry

Shock

et al. 2007

J. High Energy Phys.

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“…The isometry of the five sphere is SO (6). This product group matches the maximal bosonic subgroup of the supergroup SU (2, 2|4), which encodes the symmetries of the N = 4 supersymmetric field theory.…”

Section: Ads/cft Correspondencementioning

confidence: 99%

“…Interactions are mediated by gauge bosons, the gluon fields, in the adjoint of SU (3). The theory has been shown to be asymptotically free [6,7]. This means that at arbitrarily large energy scales, or equivalently at very short distances, the quarks become weakly interacting, whilst at long distances the force becomes ferociously strong.…”

Section: Introductionmentioning

confidence: 99%

“…F is the gauge field strength tensor describing gauge fields on the D brane and φ the dilaton. The action, in string frame, is 6) where…”

Section: Branesmentioning

confidence: 99%

“…In sect. 6 we consider in detail how chiral symmetry breaking arises in non-supersymmetric geometries. Section 7 is devoted to the gravity dual description of field theories at finite temperature.…”

Section: Introductionmentioning

confidence: 99%

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Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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The discovery of quarks

Friedman

2001

Ann. Phys.

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In the period following World War II, there was a rapid development of particle physics. With the construction of synchrotrons and the development of detector technology, many new particles were discovered and the systematics of their interactions investigated. The invention of the bubble chamber played an especially important role in uncovering the rich array of hadrons that were discovered in this period. In 1961 Murray Gell‐Mann [1] and Yuval Ne'eman [2] independently introduced a classification scheme, based on SU(3) symmetry, which placed hadrons into families on the basis of spin and parity. Like the periodic table for the elements, this scheme was predictive as well as descriptive, and various hadrons, such as the Ω—, were predicted within this framework and were later discovered. In 1964 Gell‐Mann [3] and George Zweig [4] independently proposed quarks as the building blocks of hadrons as a way of generating the SU(3) classification scheme. When the quark model was first proposed, it postulated three types of quarks: up (u), down (d), and strange (s), with charges 2/3, —1/3, and —1/3 respectively. Each of these was hypothesized to be a spin1/2 particle. In this model the nucleon (and all other baryons) is made up of three quarks, and each meson consists of a quark and an antiquark. For example, as the proton and neutron both have ero strangeness, they are (u,u,d) and (d,d,u) systems respectively. Though the quark model provided the best available tool for understanding the properties of the hadrons that had been discovered at the time, the model was thought by many to be merely a mathematical representation of some deeper dynamics, but one of heuristic value. Among the reasons for this assessment were the following:free quarks had not been found though they had been sought in numerous accelerator and cosmic ray investigations and in searches in the terrestrial environment; there was a deep suspicion about the validity of their fractional charge assignments; and some of the baryon states constructed on the basis of the quark model violated the Pauli exclusion principle. Despite these difficulties there were a small number of theorists who continued to apply the model to explain a wide range of hadronic phenomena. The theory of hadron structure that was most widely accepted at the time was the bootstrap model, an approach based on S‐Matrix theory. This model, sometimes referred to as “nuclear democracy,” was based on the idea that there were no fundamental particles and that all hadrons are made up of one another. This picture was consistent with the low momentum transfer scattering seen in hadron‐hadron interactions and with the observed “soft” electromagnetic form factors of the proton and neutron; however, it could not provide the comprehensive description of multiplet structures that was given by the quark model. Inelastic electron‐nucleon scattering results, and later those from neutrino‐scattering, played a pivotal role in resolving this dilemma by firmly establishing the quark model. These ex...

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Ultraviolet Behavior of Non-Abelian Gauge Theories

Cited by 3,982 publications

References 11 publications

AdS/QCD phenomenological models from a back-reacted geometry

AdS/QCD phenomenological models from a back-reacted geometry

Mesons in gauge/gravity duals

The discovery of quarks

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