The renormalization group according to Balaban. II. Large fields

Large N and the Renormalization Group Marco

In the large N limit, we show that the Local Potential Approximation to the flow equation for the Legendre effective action, is in effect no longer an approximation, but exact – in a sense, and under conditions, that we determine precisely. We explain why the same is not true for the Polchinski or Wilson flow equations and, by deriving an exact relation between the Polchinski and Legendre effec...

Renormalization Group Renormalization Group

Large Neutrino Mixing from Renormalization Group Evolution

The renormalization group evolution equation for two neutrino mixing is known to exhibit nontrivial fixed point structure corresponding to maximal mixing at the weak scale. The presence of the fixed point provides a natural explanation of the observed maximal mixing of νμ − ντ if the νμ and ντ are [email protected] [email protected] [email protected] [email protected]...

Renormalization Group Method Applied to Large Scale Langmuir Turbulence

A gauge invariant exact renormalization group II

A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the largeN limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant continuum Wilsonian effective action. Manifestly gauge invariant calculations may be performed, without gauge fixing, and receive a natural interpretation in term...