THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS

Renormalization Group Renormalization Group

Renormalization Group Improved Small-x Equation

We propose and analyze an improved small-x equation which incorporates exact leading and next-to-leading BFKL kernels on one hand and renormalization group constraints in the relevant collinear limits on the other. We work out in detail the recently proposed ω-expansion of the solution, derive the Green’s function factorization properties and discuss both the gluon anomalous dimension and the h...

Renormalization Group Improved Small-x Equation1

We propose and analyze an improved small-x equation which incorporates exact leading and next-to-leading BFKL kernels on one hand and renormalization group constraints in the relevant collinear limits on the other. We work out in detail the recently proposed ω-expansion of the solution, derive the Green’s function factorization properties and discuss both the gluon anomalous dimension and the h...

A gauge invariant exact renormalization group I

Amanifestly gauge invariant continuous renormalization group flow equation is constructed for pure SU(N) gauge theory. The formulation makes sense without gauge fixing and manifestly gauge invariant calculations may thus be carried out. The flow equation is naturally expressed in terms of fluctuating Wilson loops, with the effective action appearing as an integral over a ‘gas’ of Wilson loops. ...

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...