The energy-momentum tensor in a non-Abelian quark gluon theory

Nielsen, N.K.

doi:10.1016/0550-3213(77)90040-2

Cited by 282 publications

(162 citation statements)

References 24 publications

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“…(1) can be expressed in terms of the densities of the nucleon EMT. This can be done exploring the conformal anomaly [17] to relate E 2 in Eq. (1) to the trace T µ µ of the EMT of QCD and the gluon contribution to the energy density T G 00 .…”

Section: Relation To Emt Densitiesmentioning

confidence: 99%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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The pentaquark P + c (4450) recently discovered by LHCb has been interpreted as a bound state of Ψ(2S) and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that Ψ(2S) can form bound states with nucleon and ∆. Using the Skyrme model to evaluate the effective interaction in the large-Nc limit and estimate 1/Nc corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of P + c (4450) is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin pentaquarks with hidden charm can be observed.

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Section: Relation To Emt Densitiesmentioning

confidence: 99%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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“…Here we appended the subscript m to the β function in order to indicate the mass dependence. Since γ m is of order α, namely 6) as can be read off from Eq. (4.25) by trading Λ for µ, the mass dependence induces contributions to the β m function at the two-loop level and higher.…”

Section: Discussionmentioning

confidence: 99%

“…Consider an abelian gauge field coupled to spinor or scalar matter fields, which are either explicitly massless or which have a well-defined massless limit. Then the trace anomaly for the energy-momentum tensor states that [4,5,6] …”

Section: Strong-field Limits and Beta Functions A General Argumentmentioning

confidence: 99%

“…Ritus derived this relation in the context of QED using the renormalization group, with the assumption that the strong-field limit of the renormalized effective Lagrangian is mass-independent [1,2,3]. Another, equivalent, derivation which invokes the scale anomaly [4,5,6] in a massless limit, has been given in various forms by many authors [7,8,9,10,11,12,13,14]. Also, other approaches have been developed for extracting the β function from the effective Lagrangian, using either the operator product expansion [15] or the worldline formalism [16].…”

Section: Introductionmentioning

confidence: 99%

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Zero modes, beta functions and IR/UV interplay in higher-loop QED

Dunne

Gies

Schubert

2002

J. High Energy Phys.

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We analyze the relation between the short-distance behavior of quantum field theory and the strong-field limit of the background field formalism, for QED effective Lagrangians in self-dual backgrounds, at both one and two loop. The self-duality of the background leads to zero modes in the case of spinor QED, and these zero modes must be taken into account before comparing the perturbative β function coefficients and the coefficients of the strong-field limit of the effective Lagrangian. At one-loop this is familiar from instanton physics, but we find that at two-loop the role of the zero modes, and the interplay between IR and UV effects in the renormalization, is quite different. Our analysis is motivated in part by the remarkable simplicity of the two-loop QED effective Lagrangians for a self-dual constant background, and we also present here a new independent derivation of these two-loop results.

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“…This is a standard approach in , !, -type Walecka models (quantum hadrodynamics), which closely resemble our model. Scale invariance is broken by quantum fluctuations of the QCD vacuum and finite quark masses, and this feature is manifest since the dilaton mocks up the scale anomaly of QCD (Nielsen 1977;Collins et al 1977),…”

Section: The Skyrme Fluidmentioning

confidence: 99%

Skyrmion Stars: Astrophysical Motivations and Implications

Jaikumar

Ouyed

2006

ApJ

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We study mass-radius relations for compact stars employing an equation of state (EOS) of dense matter based on a Skyrme fluid. The zero-temperature mean-field model is based on mesonic excitations, incorporates the scale breaking of QCD, and accommodates baryons (nucleons) that arise as a solitonic configuration of mesonic fields. Stable configurations are obtained for central densities c / n 5:0, where n ¼ 2:575 ; 10 14 g cm À3 is the nuclear saturation density. These ''skyrmion stars'' are mostly fluid, with a crust that we describe by the EOS of Baym, Pethick, & Sutherland. Their masses and radii are in the ranges 0:4 M /M 3:6 and 13 km R 23 km, respectively. The minimum spin period is computed to be in the range 0:7 ms P 2:1 ms. They appear to have a mass-radius curve quite different from either neutron or quark stars and provide a suitable description of the heavier mass neutron stars discovered recently due to the inherently stiff EOS. Within the same model, we compute the dominant neutrino emissivity in neutron-rich -equilibrated matter and determine the cooling behavior of skyrmion stars.

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The energy-momentum tensor in a non-Abelian quark gluon theory

Cited by 282 publications

References 24 publications

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

Zero modes, beta functions and IR/UV interplay in higher-loop QED

Skyrmion Stars: Astrophysical Motivations and Implications

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