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Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly (2000)
Journal Article
Mansfield, P., & Nolland, D. (2000). Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly. Physics Letters B, 495(3-4), 435-439. https://doi.org/10.1016/s0370-2693%2800%2901247-8

We test the Maldacena conjecture for type IIB string theory / Yang–Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci flat metric. The contributions cancel wi... Read More about Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly.

Calculating the infra-red limit of quantum field theory using analyticity of correlation functions. (2000)
Journal Article
Kjærgaard, L., & Mansfield, P. (2000). Calculating the infra-red limit of quantum field theory using analyticity of correlation functions. Journal of High Energy Physics, 2000(03), Article 008. https://doi.org/10.1088/1126-6708/2000/03/008

We describe a general method for calculating the infra-red limit of physical quantities in unitary quantum field theories. Using analyticity of Green functions in a complex scale parameter, the infra-red limit is expressed as a contour integral entir... Read More about Calculating the infra-red limit of quantum field theory using analyticity of correlation functions..

Finite Vevs from a large distance vacuum wave functional. (2000)
Journal Article
Jaramillo, A., & Mansfield, P. (2000). Finite Vevs from a large distance vacuum wave functional. International Journal of Modern Physics A, 16(04), 581-600. https://doi.org/10.1142/s0217751x00000288

We show how to compute vacuum expectation values from derivative expansions of the vacuum wave functional. Such expansions appear to be valid only for slowly varying fields, but by exploiting analyticity in a complex scale parameter we can reconstruc... Read More about Finite Vevs from a large distance vacuum wave functional..

The Schrödinger representation for Fermions and a local expansion of the Schwinger model. (2000)
Journal Article
Nolland, D., & Mansfield, P. (2000). The Schrödinger representation for Fermions and a local expansion of the Schwinger model. International Journal of Modern Physics A, 15(03), 429-447. https://doi.org/10.1142/s0217751x00000203

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuu... Read More about The Schrödinger representation for Fermions and a local expansion of the Schwinger model..