Adaptive Perturbation Theory: Quantum Mechanics and Field Theory

Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that are widely believed not to be solvable by such methods. The novel feature of adaptive perturbation theory is that it decomposes a given Hamiltonian, $H$, into an unperturbed part and a perturbation in a way which extracts the leading non-perturbative behavior of the problem exactly. In this talk I will introduce the method in the context of the pure anharmonic oscillator and then apply it to the case of tunneling between symmetric minima. After that, I will show how this method can be applied to field theory. In that discussion I will show how one can non-perturbatively extract the structure of mass, wavefunction and coupling constantComment: 10 pages, 4 figures, uses psfig.sty. Conference talk Light Cone 2005 -- Cairns This paper is being replaced to add references to previously published work that I became aware of after posting the pape

A Cluster Algorithm for the Z2Z_2 Kalb-Ramond Model

A cluster algorithm is presented for the $Z_2$ Kalb-Ramond plaquette model in four dimensions which dramatically reduces critical slowing. The critical exponent $z$ is reduced from $z>2$ (standard Metropolis algorithm) to $z= 0.32\pm0.06$. The Cluster algorithm updates the monopole configuration known to be responsible for the second order phase transition.Comment: 9 pages, LaTeX + 7 figures in self-extracting shell archiv

Equity trend prediction with neural networks

This paper presents results of neural network based trend prediction for equity markets. Raw equity exchange data is pre-processed before being fed into a series of neural networks. The use of Self Organising Maps (SOM) is investigated as a data classification method to limit neural network inputs and training data requirements. The resulting primary simulation is a neural network that can prediction whether the next trading period will be, on average, higher or lower than the current. Combinations of pre-processing and feature extracting SOM’s are investigated to determine the more optimal system configuration

Stative sentences in Japanese and the role of the nominative marker "ga" : a thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in Japanese at Massey University, Palmerston North, New Zealand

The Japanese nominative particle ga is normally associated with the marking of subjects. However, there are several constructions involving stative predicates, where it has been claimed, notably by those working within a generative framework, that a ga-marked NP can be an object and that such sentences are transitive. Such an analysis has particularly arisen in the case of sentences with more than one ga-marked NP, exhibiting so-called double ga marking. The following study makes two claims. Firstly, that one of the functions of ga in such sentences is to provide a discourse frame akin to the topic marking function of the postpositional particle wa. Secondly it argues that stative sentences associated with double ga-marking are in fact intransitive and that the ga-marked NP's that have been claimed to be objects are in fact subjects

Exercise “Musk Ox”: Asserting Sovereignty “North of 60”

The Second World War was over and the Canadian armed forces were being reduced rapidly. The first chilly blasts of the Cold War had not yet penetrated to the consciousness of most Canadians. What role could the forces play in the postwar world? The most obvious answer was to revert to those interwar operations that had most directly benefited the nation—aerial surveys, northern communications, limited engineering projects. New tasks had evolved; aerial search and rescue was an example. The Canadian government was aware that it had neglected the north during the war; the American presence in the Alaska Highway, CANOL, and aerial delivery routes via the Arctic had been more prominent than that of the nominal owners of the region. This was continuing even into the postwar period; early in 1946 the USS Midway was cruising in the Labrador Sea and Davis Strait areas, experiencing Arctic flying conditions and noting the effects of sub-zero temperatures on carrier-borne aircraft. “Musk Ox,” publicly described as a test of military equipment and capabilities in the north, was a gesture to reassert Canadian sovereignty “north of 60.

A New Field Theoretic Approach to Criticality

A reorganized perturbation expansion with a propagator of soft infrared behavior is used to study the critical behavior of the mass gap. The condition of relativistic covariance fixes the form of the soft propagator. Finite approximants to the correlation critical exponent can be obtained in every order of the modified, soft perturbation expansion. Alternatively, a convergent series of exponents in large orders of the soft perturbation expansion is provided by the renormalization group in all spatial dimensions, $1\leq D\leq3$. The result of the $\epsilon$-expansion is recovered in the $D\rightarrow 3$ limit.Comment: 22 page