5 papers
The critical dimension of bosonic string theory in AdS space-time
Ian Davies, Paul Mansfield
The Polyakov bosonic string is quantised in Euclidean Anti-de Sitter space-time using functional methods. Regularisation of the functional determinants using both heat-kernel and z…
Non-perturbative VEVs from a Local Expansion
A. Jaramillo, P. Mansfield
We propose a method for the calculation of vacuum expectation values (VEVs) given a non-trivial, long-distance vacuum wave functional (VWF) of the kind that arises, for example, in…
Constructing the Leading Order Terms of the Yang-Mills Schroedinger Functional
Paul Mansfield, Marcos Sampaio
The leading short-time behaviour of the Yang-Mills Schroedinger functional is obtained within a local expansion in the fields.
A Large Distance Expansion for Quantum Field Theory
Paul Mansfield
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 varyi…
Topological Renormalisation of the O(3) Sigma Model
Richard Costambeys, Paul Mansfield
We show that the one-instanton sector moduli-space divergence of the O(3) Sigma Model leads to an unacceptable dependence of Green's functions on the arbitrary way that the field i…