Exponential Renormalization

An exact renormalization formula for Gaussian exponential sums and applications

Such sums have been the object of many studies (see e.g. [9, 6, 10, 13, 14]) and have applications in various fields of mathematics and physics. In the present paper, we prove a renormalization formula (see Theorem 2.1) analogous to the one first introduced in [9]. In our formula, the “remainder term” is given explicitly by a special function (see section 1). We use this renormalization formula...

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...

A maximum likelihood algorithm for the estimation and renormalization of exponential densities

We present an algorithm based on maximum likelihood for the estimation and renormalization (marginalization) of exponential densities. The moment-matching problem resulting from the maximization of the likelihood is solved as an optimization problem using the Levenberg-Marquardt algorithm. In the case of renormalization, the moments needed to set up the moment-matching problem are evaluated usi...

Form Factors of Exponential Operators and Exact Wave Function Renormalization Constant in the Bullough–Dodd Model

We compute the form factors of exponential operators e in the two–dimensional integrable Bullough– Dodd model (a (2) 2 Affine Toda Field Theory). These form factors are selected among the solutions of general nonderivative scalar operators by their asymptotic cluster property. Through analitical continuation to complex values of the coupling constant these solutions permit to compute the form f...

Renormalization Group Renormalization Group