Publications (81)
The Gaugino β-Function
I. Jack, D. R. T. Jones
We present an elegant exact formula for the gaugino -function in a softly-broken supersymmetric gauge theory, of the form , where is the gauge $…
Six-loop divergences in the supersymmetric Kahler sigma model
I. Jack, D. R. T. Jones, J. Panvel
The two-dimensional supersymmetric $\s$-model on a Kähler manifold has a non-vanishing $\b$-function at four loops, but the $\b$-function at five loops can be made to vanish by a…
The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories
I. Jack, D. R. T. Jones, S. Parsons
We consider the renormalisation of the Fayet-Iliopoulos D-term in a softly-broken abelian supersymmetric theory, and calculate the associated beta-function through three loops. We…
Anomalous dimensions at large charge for theory in three and four dimensions
I. Jack, D. R. T. Jones
Recently it was shown that the scaling dimension of the operator in theory may be computed semiclassically at the Wilson-Fisher fixed point in , for…
The a-function in six dimensions
J. A. Gracey, I. Jack, C. Poole
The a-function is a proposed quantity defined in even dimensions which has a monotonic behaviour along RG flows, related to the beta-functions via a gradient flow equation. We stud…
Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
I. Jack, D. R. T. Jones, N. Mohammedi
We discuss the ultra-violet properties of bosonic and supersymmetric noncommutative non-linear sigma-models in two dimensions, both with and without a Wess-Zumino-Witten term.