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The Higgs Boson and Electroweak Symmetry Breaking
The Higgs Boson and Electroweak Symmetry Breaking

Exceptional Lie Groups, E-infinity Theory and
Exceptional Lie Groups, E-infinity Theory and

the kinematic origin of complex wave functions
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... 1. The low voltage supplies power to a filament which in turn heats the cathode at A. 2. Electrons are emitted from the hot cathode due to thermionic emission. 3. They get accelerated across the vacuum due to the very high voltage and smash into the high-density anode (usually tungsten) at B. 4. Mos ...
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Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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