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quantum chromodynamics (QCD)
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A theory of strong force, or nuclear interactions such as those among quarks and gluons, partons, `Yukawa' mesons, and so on, with an intrinsic threefold symmetry for RGB quarks (or `eightfold-way' diagrams resulting from representations of the `quantum' group first reported by the US Nobel Laureate Gell-Mann and others. This is not only a rather `colorful' theory (as its name suggests) but also a very highly formalized, mathematical one that affords major simplifications by postulating intrinsic symmetries of magnetic-like `color', `flavor', `strangeness' and top/down quark (and anti-quark) intrinsic properties, each time involving three `poles' (as in North/ South magnetic poles. Single quarks, such as the or ones have however never been observed, with the proton and neutron `consisting of' three such quarks with a resulting `white' color, or `colorless' proton and neutron, as well as
stable `white' nuclei `consisting of' the latter two quantum particles, dynamically `confined' by the very short range, nuclear strong interactions. The quark interactions are mediated by gluons-as well as their exchange- and the latter also carry (magnetic-like) `color'-but unlike the photons that mediate the electromagnetic interactions in QED- gluons have multiple interactions with each other leading to major computational difficulties in QCD, that are not encountered in QED. Major obstacles in QCD computations of observable nuclear (quantum) eigenvalues are therefore encountered in attempting approximate, perturbative approaches that work extremely well for electromagentic interactions (governed by the charge symmetry group), for example with Richard Feynman's approach in QED. Electro-weak (QEW) interactions were successfully approached in QED-like fashion but with quantum field carriers that are-unlike the photon-massive, and therefore the electro-weak interactions have limited range, unlike the `massless' photons. Thus, QCD and QED are more than just `one pole apart', as and are very different group symmetries! This makes obvious the need for `more fundamental' , or extended quantum symmetries, such as those afforded by either several larger groups such as , or by spontaneously broken, multiple (`or localized') symmetries of a less restrictive kind present in `quantum groupoids' as for example in weak Hopf algebra representations, or in locally compact groupoid , unitary representations, and so on, to the higher dimensional (quantum) symmetries of quantum double groupoids, quantum double algebroids, quantum categories/quantum supercategories and/or quantum supersymmetry superalgebras (or graded `Lie' algebras, see- for example- the QFT books by Weinberg, 1995, 2003) superalgebroids in quantum gravity, or in QCD of the extremely hot, very early, physical Universe, extremely close to the time of the `Big Bang'.
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"quantum chromodynamics (QCD)" is owned by bci1.
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Cross-references: universe, quantum gravity, QFT, graded Lie algebras, superalgebras, supersymmetry, supercategories, quantum categories, double groupoids, unitary representations, locally compact groupoid, quantum groupoids, extended quantum symmetries, obvious, carriers, field, group, eigenvalues, QED, multiple, range, stable, poles, properties, color, quantum group, representations, diagrams, symmetry, nuclear, force, strong, theory
There are 7 references to this entry.
This is version 2 of quantum chromodynamics (QCD), born on 2008-10-17, modified 2008-10-17.
Object id is 11183, canonical name is QuantumChromodynamicsQCD.
Accessed 457 times total.
Classification:
| AMS MSC: | 81T05 (Quantum theory :: Quantum field theory; related classical field theories :: Axiomatic quantum field theory; operator algebras) | | | 55U99 (Algebraic topology :: Applied homological algebra and category theory :: Miscellaneous) | | | 81T05 (Quantum theory :: Quantum field theory; related classical field theories :: Axiomatic quantum field theory; operator algebras) | | | 81T13 (Quantum theory :: Quantum field theory; related classical field theories :: Yang-Mills and other gauge theories) |
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Pending Errata and Addenda
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