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Geometric constructions for repulsive gravity and
Geometric constructions for repulsive gravity and

Theoretical Physics T2 Quantum Mechanics
Theoretical Physics T2 Quantum Mechanics

... the foundation of quantum mechanics. A metal surface emits electrons when illuminated by ultraviolet light. The importance of this discovery lies within the inability of classical physics to describe the effect in its full extent based on three observations. 1. ) The kinetic energy of the emitted el ...
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... • What is Λ? First naive guess is that M is the Planck scale – does not work. Data require Λ < 1015 GeV (anything to do with the GUT scale?). What else is this “good for”? Depends on the ultraviolet completion! October 28, 2008 ...
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Full text in PDF form

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... Consider a spatial region, such as a box, and a large number n of independent macroscopic objects, such as a set of marbles. Suppose that for each marble, the wavefunction distribution is such that the marble is in the box according to the fuzzy link. Call this wavefunction distribution state S for ...
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... 3. New Theories of Elementary Particles In order to explain basic features of inflationary cosmology, one should first make an excursion into the theory of elementary particles. Rapid progress of this theory during the last two decades became possible after physicists have found a way to unify weak ...
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Spin and Charge Fluctuations in Strongly Correlated Systems

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Phases of correlated spinless fermions on the honeycomb lattice

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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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