Triad second renormalization group

THE BOGOLIUBOV RENORMALIZATION GROUP Second English printing

We begin with personal notes describing the atmosphere of " Bogoliubov renormalization group " birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the mid-fifties. The third part is devoted to proliferation of RG ideas into diverse parts of theoretical physics. We conclude with discussing the perspective of RG method further development and its applicat...

Renormalization group flows for the second

Extending the results obtained in the case N odd, the effect of slightly relevant perturbations of the second parafermionic field theory with the symmetry ZN , for N even, are studied. The renormalization group equations, and their infra red fixed points exhibit the same structure in both cases. In addition to the standard flow from the p-th to the (p − 2)-th model, another fixed point correspo...

THE BOGOLIUBOV RENORMALIZATION GROUP Second English printing

We begin with personal notes describing the atmosphere of ”Bogoliubov renormalization group” birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the mid-fifties. The third part is devoted to proliferation of RG ideas into diverse parts of theoretical physics. We conclude with discussing the perspective of RG method further development and its applicatio...

Renormalization Group Renormalization Group

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...