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Modification of the topological expansion of the O(3) sigma model. (1996)
Journal Article
Costambeys, R., & Mansfield, P. (1996). Modification of the topological expansion of the O(3) sigma model. Nuclear Physics B, 462(1), 141-166. https://doi.org/10.1016/0550-3213%2896%2988698-6

We show that the one-instanton sector moduli-space divergence of the O(3) sigma model leads to an unacceptable dependence of Green functions on the arbitrary way that the field is split into a quantum fluctuation about a classical background. In part... Read More about Modification of the topological expansion of the O(3) sigma model..

The O(N) σ-model Laplacian (1996)
Journal Article
Mansfield, P., & Pachos, J. (1996). The O(N) σ-model Laplacian. Physics Letters B, 365(1-4), 169-174. https://doi.org/10.1016/0370-2693%2895%2901333-4

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional of a massive quantum field theory can be expanded in terms of local functionals satisfying a form of the Schrödinger equation, the principal ingredie... Read More about The O(N) σ-model Laplacian.

Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour (1996)
Journal Article
Mansfield, P. (1996). Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour. Physics Letters B, 365(1-4), 207-212. https://doi.org/10.1016/0370-2693%2895%2901332-6

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals. For Yang-Mills theory the leading term in the expansion dominates large distance effects and leads to... Read More about Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour.

Rescaling of Markov shifts (1996)
Journal Article
Ward, T. (1996). Rescaling of Markov shifts. Acta mathematica Universitatis Comenianae (Tlačené vydanie), 65(1), 149-157