Chaotic renormalization-group trajectories

Renormalization group approach to chaotic strings

Coupled map lattices of weakly coupled Chebychev maps, so-called chaotic strings, have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well as for the coupling parameter dependence of given observables of the chaotic string such as the vac...

Renormalization Group Renormalization Group

Free energy decreases along Wilson renormalization group trajectories

The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for d > 2. The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two point function. The argument is valid to all orders in perturbation theory.

Renormalization-group trajectories from resonance factorized S matrices.

We propose and investigate a large class of models possessing resonance factorized S-matrices. The associated Casimir energy describes a rich pattern of renormalization group trajectories related to flows in the coset models based on the simply laced Lie Algebras. From a simplest resonance S-matrix, satisfying the “φ3-property”, we predict new flows in non-unitary minimal models. Pacs numbers: ...

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...