Renormalization group approach to multiparticle density fluctuations
نویسنده
چکیده
An iterative procedure is developed with the aim of constructing homogeneity rules for the distribution P (ρ, δ) of the particle density ρ at resolution scale δ. A single iteration step consists of a change in the normalization point of P (ρ, δ) followed by a rescaling. Similar transformation rule is introduced for density fluctuations contaminated by Poisson noise. Application of the iterative procedure is given for the Ginzburg-Landau description of phasetransition from the quark-gluon plasma and for random cascading models. PACS numbers: 13.85.Hd, 11.10.Gh, 05.40.+j Typeset using REVTEX
منابع مشابه
A numerical renormalization group approach for calculating the spectrum of a vibronic system occurring in molecules or impurities in insulators
Theoretically, in order to describe the behavior of a spectrum, a mathematical model whichcould predict the spectrum characteristics is needed. Since in this study a Two-state system has beenused like models which was introduced previously past and could couple with the environment, theformer ideas have been extended in this study. we use the second quantized version for writing thisHamiltonian...
متن کاملTime-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...
متن کاملRenormalization group for multiparticle production in ( 2 + 1 ) dimensions around the threshold
Multiparticle production in (2+1) dimensions is investigated. We show that in a small region around the threshold the perturbation theory becomes un-applicable due to infrared divergencies in a class of Feynman graphs with rescattering in final state. We develop a technique based on renormalization group for summing up leading logarithms and apply it to the φ 4 models with and without symmetry ...
متن کاملA NUMERICAL RENORMALIZATION GROUP APPROACH FOR AN ELECTRON-PHONON INTERACTION
A finite chain calculation in terms of Hubbard X-operators is explored by setting up a vibronic Harniltonian. The model conveniently transformed into a form so that in the case of strong coupling a numerical renormalization group approach is applicable. To test the technique, a one particle Green function is calculated for the model Harniltonian
متن کاملNumerical renormalization group study of probability distributions for local fluctuations in the Anderson-Holstein and Holstein-Hubbard models.
We show that information on the probability density of local fluctuations can be obtained from a numerical renormalization group calculation of a reduced density matrix. We apply this approach to the Anderson-Holstein impurity model to calculate the ground state probability density ρ(x) for the displacement x of the local oscillator. From this density we can deduce an effective local potential ...
متن کامل