Effective Lagrangians and Field Algebras with Chiral Symmetry

Gasiorowicz, S.; Geffen, D. A.

doi:10.1103/revmodphys.41.531

Cited by 609 publications

(411 citation statements)

References 117 publications

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“…On the other hand, with these counting rules the Lagrangians L H and L 8q contribute at the same N c order, thus the effects coming from them are comparable and must be considered together. 3 It is clear that our considerations are also relevant if the multi-quark interactions create a hierarchy [23] similar to the hierarchy found within the gluon field correlators [24]. In this case the lowest four-quark interaction forms a stable vacuum corresponding to spontaneously broken chiral symmetry.…”

Section: The Modelmentioning

confidence: 92%

“…As a consequence a negative branch of the function x (2) grows rapidly with y from −∞ at y = 0 up to 0 at y = y max . On the contrary, functions x (1) (y) and x (3) (y) (see Eq. (19) below) remain almost unchanged in the interval 0 < y < y max , because here the strong driving forces totally cover electromagnetic effects.…”

Section: The Eight-quark Term At Workmentioning

confidence: 99%

“…Since, however, the 't Hooft interaction, which is the next term in the hierarchy, destroys the ground state [16], one cannot truncate the tower of multi-quark interactions at this level. The next natural candidate is the eight-quark 3 Let us note that our counting for g 1 differs from the prescription of paper [17] where…”

Section: The Modelmentioning

confidence: 99%

“…The thick line indicates the negative branch of curve x (3) and also the curve x (1) , which are degenerate at this scale, the upper line is the positive branch of x (3) . The two branches of x (3) meet at y 0.14 GeV 3 , outside the indicated range in the plot. The real solution of the system (13) is indicated by the point P .…”

Section: The Eight-quark Term At Workmentioning

confidence: 99%

“…Some features of the large distance hadron dynamics can be understood in the framework of effective chiral Lagrangians written in terms of quark degrees of freedom [3]. They are efficient for the description of spontaneous chiral symmetry breaking, or for the study of the quark structure of light mesons.…”

Section: Introductionmentioning

confidence: 99%

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Multi-quark interactions with a globally stable vacuum

2006

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Section: The Modelmentioning

confidence: 92%

Section: The Eight-quark Term At Workmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Eight-quark Term At Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-quark interactions with a globally stable vacuum

2006

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Extended linear‐sigma model: transport properties of QCD matter at finite temperature

Tawfik,

Elshehri

2024

Astron Nachr

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Since their discovery in heavy‐ion collisions, the transport properties of quantum chromodynamics (QCD) matter gained prominence among nuclear theorists. We introduce a new study based on a QCD‐like effective model. The thermal evolution of the electric and heat conductivity, and , respectively, and that if their ratios are evaluated in SU(3) extended linear‐sigma model (eLSM) with mean field approximation. Also, the bulk and shear viscosity normalized to the thermal entropy, and , respectively, as well as their ratios are estimated in the eLSM at finite temperature. Furthermore, the two ratios and are analyzed. The excellent agreement with recent lattice QCD calculations allows to draw the conclusion that the values assigned to the various eLSM‐parameters make this QCD‐like effective model capable of reproducing the non‐perturbative calculations of QCD matter, at finite temperatures.

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Short‐Range Repulsion and Broken Chiral Symmetry in Low‐Energy Scattering

Serbryakov

Ширков

1970

Fortschr. Phys.

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This paper is an essentially modified version of the chapter “Short‐range repulsion” from the English edition [1] of the book “Dispersion theories of strong interactions at low‐energies” (in the Russian edition [1] this chapter is absent). Unlike the English version, we have employed the concept of chiral symmetry and ist consequences for the low‐energy characteristics of strong interactions as boundary conditions on the solution of dispersion equations. The introduction of the short‐range repulsion “potentials” into the low‐energy equations for lower partial waves makes it possible to eliminate the main difficulties of the purely elastic low‐energy (Pele) approximation. There is then a possibility in principle of obtaining solutions with small s‐wave scattering lengths and broad resonances. The use of threshold conditions resulting from chiral symmetry allows us (under certain additional conditions) to express the main resonance scattering parameters in terms of the pion decay characteristics. Formulas are presented, by means of one of which the ϱ meson mass mϱ is expressed in terms of the pion mass μ and the decay constant ƒπ from the PCAC condition (Eq. (5.26) and the other (Eq. (5.27)) expresses the ϱ meson width Γ via μƒπ and mπ and is a generalization of the well‐known KSFR relation taking into account unitarity corrections. Similar results have been obtained for the Δ33 resonance in pion‐nucleon scattering. Thus, using the broken chiral symmetry approximation and unitarity dispersion equations for low‐energy ππ and πN scattering we have obtained masses, life‐time and coupling constants for p‐wave resonances by specifying only the pion and nucleon masses, their life‐times and the Fermi coupling constant. Reported at the Conference on the High Energy Physics in the Institute for Theoretical Physics, Kiev, the Ukrainian SSR, October 1969.

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Effective Lagrangians and Field Algebras with Chiral Symmetry

Cited by 609 publications

References 117 publications

Multi-quark interactions with a globally stable vacuum

Multi-quark interactions with a globally stable vacuum

Extended linear‐sigma model: transport properties of QCD matter at finite temperature

Short‐Range Repulsion and Broken Chiral Symmetry in Low‐Energy Scattering

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