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Topic: SU(3)

Related Topics

Special orthogonal group

Special unitary group

Rotation group

Trace of a matrix

Unitary matrix

Spinor

Pauli matrices

Antihermitian

Euler angle

Kronecker delta

Quark

Eightfold way (physics)

Noble Eightfold Path

CERN

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	Why are there eight gluons?
		We know that the matter we believe to be composed of quarks (the hadrons) comes in two types: mesons (short lived particles, pions etc.) and baryons (protons, neutrons etc.), both of which have to be strong force neutral.
		The simplest theory describing the above is the SU(3) one with the gluons as the basis states of the Lie algebra.
		SU(3) is the group of 3 x 3 unitary matrices with determinant 1.
	math.ucr.edu /home/baez/physics/ParticleAndNuclear/gluons.html (894 words)

	SU(3) code documentation: Some Simple Example Codes (Site not responding. Last check: 2007-11-07)
		First are presented two examples which calculate the average plaquette in first pure SU(3) gauge theory, and in the second the average plaquette is calculated in pure SU(2) gauge theory.
		The first part of the code involves the usual include files with the addition of the libsu3.h file which contains the prototypes for all the functions that are used.
		The rest is similar to the SU(3) case.
	hbar.wustl.edu /~miller/howto-2.html (1200 words)

	Special unitary group - Wikipedia, the free encyclopedia
		For SU(2), the generators are known as the Pauli matrices:
		The analog of the Pauli matrices for SU(3) are Gell-Mann matrices:
		The generators of SU(3) are defined as T by the relation
	en.wikipedia.org /wiki/SU(3) (941 words)

	Abelian/non-Abelian, and the U(1), SU(2), SU(3) Groups (Site not responding. Last check: 2007-11-07)
		In strong interaction with SU(3) symmetry, the hypercharge for the quarks is generated by the
		The mass splitting among the isospin members is caused by the electromagnetic interactions as shown in Figure 04.
		The other three kinds of quark related to the local SU(3) gauge transformation is called "colour" quark participating in strong interaction.
	universe-review.ca /R15-10-groups.htm (3565 words)

	Cabi's Glasses: SU(3)xSU(2)xU(1) is special!
		During last decade or so I have developed rather detailed arguments for the uniqueness of M^4xCP_2 from physis as a generalized number theory vision.
		SU(3) and U(2)_ew emerge as symmetries naturally associated with octonions and quaternions.
		SU(3) is the sub-group of octonion automorphisms leaving given imaginary unit invariant.
	www.mit.edu /people/cabi/blog/2005/04/su3xsu2xu1-is-special.html (1045 words)

	AMCA: Flavour and colors SU(3) from octonions in CI(1,9) by Paolo Budinich (Site not responding. Last check: 2007-11-07)
		is fixed, the possibility of two SU(3) internal symmetries; one interpretable as flavour (having SU(2)-isospin as subgroup) and the other, in the dynamical sector, as color, correlated with the electroweak model.
		The origin of both charges (electric, and strong from U(1)) and internal symmetries (SU(2), SU(3)) may be envisadged in the division algebras naturally contained in the corresponding Clifford algebras (U(1) from complex numbers, SU(2) from quaternians, SU(3) from octonions).
		Both the geometrical construction and the physical interpretation require the spinors to be simple or pure and then subject to constraint equations whose possible role is breefly discussed.
	at.yorku.ca /c/a/h/s/52.htm (313 words)

	SU(5) GUT
		The force strengths alpha_3 of the SU(3) Color Force and alpha_2 and alpha_1 of the U(2) = SU(2) x U(1) ElectroWeak Force have been measured at low energies (at and below around 90 GeV).
		However, both the SU(3) and the U(2) come from the 24-cell root vectors of the D4 Lie algebra Spin(8), so we can ask:
		By itself, the SU(3) can be represented by 3x3 matrices of the form
	www.valdostamuseum.org /hamsmith/SU5GUT.html (5896 words)

	SU(3) concept from the Astronomy knowledge base (Site not responding. Last check: 2007-11-07)
		abstraction > mathematical concept > symmetry > elementary particle symmetry > SU(3)
		It is a concept in group theory, by which Gell-Mann and others, using eight quantum numbers, have been able to combine particles into family groups or supermultiplets, as the lowest-lying eightfold group of the nucleon doublet, the Λ singlet, the Σ triplet, and the Ξ doublet.
		The SU(3) theory applies only to the strongly interacting particles.
	www.site.uottawa.ca:4321 /astronomy/SU(3).html (110 words)

	The Return of Parity: SU(2)_L x SU(2)_R x U(3) (was: Prediction of Lepton masses)
		of a 9th component for a U(3) interaction containing SU(3).
		with a corresponding non-trivial relation between the SU(3) and
		> of a 9th component for a U(3) interaction containing SU(3).
	www.physicsforums.com /showthread.php?t=67376 (805 words)

	Notes 3-3-1 (Site not responding. Last check: 2007-11-07)
		The Kong variant of the Babu-Kaplan-Schmaltz Little Higgs model is a 3-3-1 model similar to that presented in [2][4].
		[1] Pisano and Pleitez, An SU(3) X U(1) Model for Electroweak Interactions ; Frampton, Chiral dilepton model and the flavor question
		[5] Lee, Shrock, An SU(3) X U(1) Theory of Weak and Electromagnetic Interactions
	mcelrath.org /Notes/331 (186 words)

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