4 research outputs found
A non-perturbative analysis of symmetry breaking in two-dimensional phi^4 theory using periodic field methods
We describe the generalization of spherical field theory to other modal
expansion methods. The main approach remains the same, to reduce a
d-dimensional field theory into a set of coupled one-dimensional systems. The
method we discuss here uses an expansion with respect to periodic-box modes. We
apply the method to phi^4 theory in two dimensions and compute the critical
coupling and critical exponents. We compare with lattice results and
predictions via universality and the two-dimensional Ising model.Comment: 12 pages, 4 figures, version to appear in Physics Letters
Applying the Hilbert--Huang Decomposition to Horizontal Light Propagation C_n^2 data
The Hilbert Huang Transform is a new technique for the analysis of
non--stationary signals. It comprises two distinct parts: Empirical Mode
Decomposition (EMD) and the Hilbert Transform of each of the modes found from
the first step to produce a Hilbert Spectrum. The EMD is an adaptive
decomposition of the data, which results in the extraction of Intrinsic Mode
Functions (IMFs). We discuss the application of the EMD to the calibration of
two optical scintillometers that have been used to measure C_n^2 over
horizontal paths on a building rooftop, and discuss the advantage of using the
Marginal Hilbert Spectrum over the traditional Fourier Power Spectrum.Comment: 9 pages, 11 figures, proc. SPIE 626