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Finite size effects in quantum field theory
Finite size effects in quantum field theory

Screen-Based Graphic Design: Tips for non
Screen-Based Graphic Design: Tips for non



... microscopic system" in place, the proper object of physical inquiry, no matter that there will be a number of constraints on what can meaninghlly be said of it, and of how quantum mechanics is to be applied. With this we know what physics is about, and how it is to go on. Now for the measurement pr ...
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... understood. If the period T does not match T0, the atoms have a mean residual acceleration and later laser pulses are applied on atoms with a momentum different from – ħkL. The reflection probability is then reduced. From our experimental data, we can estimate T0 and thus also give an estimate of th ...
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Bourdel-3 (doc, 273 KiB)

A polynomial-time algorithm for the ground state of 1D gapped local
A polynomial-time algorithm for the ground state of 1D gapped local

2012 - University of Utah Physics
2012 - University of Utah Physics

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Cosmology as a Problem in Critical Phenomena

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Quantization as Selection Rather than Eigenvalue Problem
Quantization as Selection Rather than Eigenvalue Problem

< 1 ... 308 309 310 311 312 313 314 315 316 ... 516 >

Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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