1 ∆t ). Furthermore, this nondifferentiability of the trajectories is the source of the Itô calculus [2] in Quantum Mechanics. One expects that the velocity dependent interactions become more important for short time processes. Our goal is to see whether the concept of running coupling constant is meaningful in Quantum Mechanics and it shows an enhancement for velocity dependent interactions at...

We show that there exists an Efimov-like three strand DNA bound state at the duplex melting point and it is described by a renormalization group limit cycle. A nonperturbative renormalization group is used to obtain this result in a model involving short range pairing only. Our results suggest that Efimov physics can be tested in polymeric systems.

We derive the Wilson-Polchinski RG equation in the planar limit. We explain that the equation necessarily involves also non-planar amplitudes with sphere topology, which represent multi-trace contributions to the effective action. The resulting RG equation turns out to be of the Hamilton-Jacobi type since loop effects manifest themselves through terms which are linear in first order derivatives...

We study a shadow limit (the infinite diffusion coefficient-limit) of a system of ODEs coupled with a semilinear heat equation in a bounded domain with Neumann boundary conditions. In the literature, it was established formally that in the limit, the original semilinear heat equation reduces to an ODE involving the space averages of the solution to the semilinear heat equation and of the nonlin...

Keying Guan1 and Zuming Chen2 1 Science College, Northern Jiao Tong University, Beijing 100044, China 2 Science College, Beijing University of Aeronautics and Astronautics, Beijing 100083, China Correspondence should be addressed to Keying Guan, [email protected] Received 15 June 2011; Revised 14 October 2011; Accepted 19 October 2011 Academic Editor: Rutwig Campoamor-Stursberg Copyright q ...