Renormalization in a sentence

Even though renormalization works very well in practice, Feynman was never entirely comfortable with its mathematical validity, even referring to renormalization as a "shell game" and "hocus pocus".

There's nothing wrong with the government's of Europe erring on the side of caution when it comes to nipping-in-the-bud anything that might lead to a renormalization of Nazism.

After renormalization, calculations using Feynman diagrams match experimental results with very high accuracy.

Diverse systems with the same critical exponents—that is, which display identical scaling behaviour as they approach criticality —can be shown, via renormalization group theory, to share the same fundamental dynamics.

Dyson could show that a rescaling of charge and mass (‘renormalization’) is sufficient to remove all divergences in QED to all orders of perturbation theory.

He said in that paper that Feynman diagrams were not just a computational tool, but a physical theory, and developed rules for the diagrams that completely solved the renormalization problem.

However, since s is an unphysical parameter, physical states must be left invariant by "s-evolution", and so the physical state space is the kernel of (this requires the use of a rigged Hilbert space and a renormalization of the norm).

In this situation, the predictions of effective field theory are thought to be invalid, as renormalization should cause large corrections that could prevent inflation.

Renormalization Early in the history of quantum field theory, it was found that many seemingly innocuous calculations, such as the perturbative shift in the energy of an electron due to the presence of the electromagnetic field, give infinite results.

Renormalization group techniques successively average out the shortest wavelength fluctuations in stages while retaining their effects into the next stage.

The basic idea of renormalization is to avoid divergences that appear in physical predictions by shifting them into a part of the theory where they do not influence empirical propositions.

The constants m and g control the quark mass and coupling constants of the theory, subject to renormalization in the full quantum theory.

The full specification of a quantization procedure requires methods of performing renormalization.

The renormalization group describes how renormalizable theories emerge as the long distance low-energy effective field theory for any given high-energy theory.

The renormalization procedure only works for a certain class of quantum field theories, called renormalizable quantum field theories.

These ideas were unified by Kenneth Wilson in 1972, under the formalism of the renormalization group in the context of quantum field theory.

These processes are important in the vacuum state and renormalization of a quantum field theory.

They would also cause extremely rapid proton decay (far below current experimental limits) and prevent the gauge coupling strengths from running together in the renormalization group.

This is in contrast with quantum electrodynamics where, given that the series still do not converge, the interactions sometimes evaluate to infinite results, but those are few enough in number to be removable via renormalization.

To overcome this difficulty, a technique called renormalization has been devised, producing finite results in very close agreement with experiments.