Outputs (4)

Boundary conformal field theories on random surfaces and the non-critical open string (1996)
Journal Article
Mansfield, P., & Neves, R. (1996). Boundary conformal field theories on random surfaces and the non-critical open string. Nuclear Physics B, 479(1-2), 82-112. https://doi.org/10.1016/0550-3213%2896%2900446-4

We analyse boundary conformal field theories on random surfaces using the conformal gauge approach of David, Distler and Kawai. The crucial point is the choice of boundary conditions on the Liouville field. We discuss the Weyl anomaly cancellation fo... Read More about Boundary conformal field theories on random surfaces and the non-critical open string.

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.