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Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation (1999)
Journal Article
Kjærgaard, L., & Mansfield, P. (1999). Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation. Physics Letters B, 462(1-2), 103-108. https://doi.org/10.1016/s0370-2693%2899%2900895-3

We illustrate a method for improving Renormalisation Group improved perturbation theory by calculating the infrared central charge of a perturbed conformal field theory. The additional input is a dispersion relation that exploits analyticity of the e... Read More about Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation.

One-loop conformal anomalies from AdS/CFT in the Schrödinger representation (1999)
Journal Article
Mansfield, P., & Nolland, D. (1999). One-loop conformal anomalies from AdS/CFT in the Schrödinger representation. Journal of High Energy Physics, 1999(07), https://doi.org/10.1088/1126-6708/1999/07/028

We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of Supergravity o... Read More about One-loop conformal anomalies from AdS/CFT in the Schrödinger representation.

Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional (1999)
Journal Article
Mansfield, P., & Sampaio, M. (1999). Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional. Nuclear Physics B, 545(1-3), 623-655. https://doi.org/10.1016/s0550-3213%2898%2900871-2

For slowly varying fields the Yang-Mills Schrödinger functional can be expanded in terms of local functionals. We show how analyticity in a complex scale parameter enables the Schrödinger functional for arbitrarily varying fields to be reconstructed... Read More about Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional.