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A Large Distance Expansion for Quantum Field Theory. (1997)
Presentation / Conference Contribution
Mansfield, P. (1997). A Large Distance Expansion for Quantum Field Theory. In I. M. Dremin, & A. M. Semikhatov (Eds.),

Using analyticity of the vacuum wave-functional under complex scalings, the vacuum of a quantum field theory may be reconstructed from a derivative expansion valid for slowly varying fields. This enables the eigenvalue problem for the Hamiltonian to... Read More about A Large Distance Expansion for Quantum Field Theory..

Bogomol'nyi Bounds for Two-Dimensional Lattice Systems. (1997)
Journal Article
Ward, R. (1997). Bogomol'nyi Bounds for Two-Dimensional Lattice Systems. Communications in Mathematical Physics, 184(2), 397-410. https://doi.org/10.1007/s002200050065

The O(3) sigma model and abelian Higgs model in two space dimensions admit topological (Bogomol'nyi) lower bounds on their energy. This paper proposes lattice versions of these systems which maintain the Bogomol'nyi bounds. One consequence is that in... Read More about Bogomol'nyi Bounds for Two-Dimensional Lattice Systems..

S-integer dynamical systems: periodic points (1997)
Journal Article
Chothi, V., Everest, G., & Ward, T. (1997). S-integer dynamical systems: periodic points. Journal für die reine und angewandte Mathematik, 1997(489), 99-132. https://doi.org/10.1515/crll.1997.489.99

We associate via duality a dynamical system to each pair (R_S,x), where R_S is the ring of S-integers in an A-field k, and x is an element of R_S\{0}. These dynamical systems include the circle doubling map, certain solenoidal and toral endomorphisms... Read More about S-integer dynamical systems: periodic points.