About: Chiral model

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In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the chiral limit (where the masses of the quarks go to zero), but without necessarily mentioning quarks at all. It is a nonlinear sigma model with the principal homogeneous space of the Lie group SU(N) as its target manifold, where N is the number of quark flavors. The Riemannian metric of the target manifold is given by a positive constant multiplied by the Killing form acting upon the Maurer–Cartan form of SU(N).

Attributes	Values
rdf:type	Thing person
rdfs:label	Chiral model (en)
rdfs:comment	In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the chiral limit (where the masses of the quarks go to zero), but without necessarily mentioning quarks at all. It is a nonlinear sigma model with the principal homogeneous space of the Lie group SU(N) as its target manifold, where N is the number of quark flavors. The Riemannian metric of the target manifold is given by a positive constant multiplied by the Killing form acting upon the Maurer–Cartan form of SU(N). (en)
rdfs:seeAlso	Chiral symmetry breaking
dcterms:subject	Quantum chromodynamics Quantum field theory Nuclear physics
Wikipage page ID	1329114 (xsd:integer)
Wikipage revision ID	1100004726 (xsd:integer)
Link from a Wikipage to another Wikipage	QCD vacuum Quark Principal homogeneous space Topological soliton Lie group Quantum chromodynamics Quantum field theory Maurer–Cartan form Nuclear physics Goldstone boson Lorentz group Chiral perturbation theory Non-linear sigma model Trace (linear algebra) Current algebra Feza Gürsey Flavour (particle physics) QCD Riemannian metric Group action (mathematics) Nuclear physics Chiral symmetry Chiral symmetry breaking Killing form Special unitary group Spontaneous symmetry breaking Global symmetry Meson Skyrmion Nonlinear sigma model Phenomenology (particle physics) Pion decay constant Nonlinear realization Target manifold
Link from a Wikipage to an external page	http://www.people.fas.harvard.edu/~hgeorgi/weak.pdf
sameAs	Chiral model Chiral model Chiral model Chiral model
dbp:wikiPageUsesTemplate	dbt:Quantum_field_theories dbt:Citation dbt:Cite_journal dbt:ISBN dbt:Math dbt:Mvar dbt:See_also dbt:Short_description
has abstract	In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the chiral limit (where the masses of the quarks go to zero), but without necessarily mentioning quarks at all. It is a nonlinear sigma model with the principal homogeneous space of the Lie group SU(N) as its target manifold, where N is the number of quark flavors. The Riemannian metric of the target manifold is given by a positive constant multiplied by the Killing form acting upon the Maurer–Cartan form of SU(N). The internal global symmetry of this model is SU(N)L × SU(N)R, the left and right copies, respectively; where the left copy acts as the left action upon the target space, and the right copy acts as the right action. The left copy represents flavor rotations among the left-handed quarks, while the right copy describes rotations among the right-handed quarks, while these, L and R, are completely independent of each other. The axial pieces of these symmetries are spontaneously broken so that the corresponding scalar fields are the requisite Nambu−Goldstone bosons. This model admits topological solitons called skyrmions. Departures from exact chiral symmetry are dealt with in chiral perturbation theory. (en)
gold:hypernym	Model
prov:wasDerivedFrom	wikipedia-en:Chiral_model?oldid=1100004726&ns=0
page length (characters) of wiki page	12590 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Chiral_model
is Link from a Wikipage to another Wikipage of	Index of physics articles (C) List of quantum field theories Chiral perturbation theory Non-linear sigma model Current algebra Exotic meson Feza Gürsey Flavour (particle physics) Quantum chromodynamics Chiral anomaly Chirality (physics) Skyrmion Sigma model Nonlinear realization
is known for of	Feza Gürsey
is known for of	Feza Gürsey
is foaf:primaryTopic of	wikipedia-en:Chiral_model

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