273 citations · 2.9k across the 77 of their papers we have counts for
40 papers · 1 filter
at (and some ) loops in
Ian Jack, Hugh Osborn
We recalculate the contributions of individual six loop graphs to the -function for a three dimensional scalar theory with an arbitrary sextic scalar potential. Previously this…
Explorations in Scalar Fermion Theories: -functions, Supersymmetry and Fixed Points
Ian Jack, Hugh Osborn, Tom Steudtner
Results for -functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diag…
Scaling dimensions at large charge for cubic theory in six dimensions
I. Jack, D. R. T. Jones
The model with scalar quartic interactions at its ultraviolet fixed point, and the model with scalar cubic interactions at its infra-red fixed point are conjectured t…
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 gene…
Anomalous dimensions at large charge in d=4 O(N) theory
I. Jack, D. R. T Jones
Recently it was shown that the scaling dimension of the operator in theory may be computed semi-classically at the Wilson-Fisher fixed point in , for gener…
Anomalous dimensions for in scale invariant theory
I. Jack, D. R. T. Jones
Recently it was shown that the scaling dimension of the operator in scale-invariant theory may be computed semiclassically, and this was verified to leading order (two…
One-loop beta-functions for renormalisable gravity
I. Jack
We compute the one-loop beta-functions for renormalisable quantum gravity coupled to scalars using the co-ordinate space approach and generalised Schwinger De Witt technique. We re…
Scheme invariants in phi^4 theory in four dimensions
I. Jack, C. Poole
We provide an analysis of the structure of renormalisation scheme invariants for the case of theory, relevant in four dimensions. We give a complete discussion of the invaria…
The a-function for N=2 supersymmetric gauge theories in three dimensions
J. A. Gracey, I. Jack, C. Poole +1
Recently, the existence of a candidate a-function for renormalisable theories in three dimensions was demonstrated for a general theory at leading order and for a scalar-fermion th…
The a-function in three dimensions: beyond leading order
I. Jack, C. Poole
Recently, evidence was provided for the existence of an -function for renormalisable quantum field theories in three dimensions. An explicit expression was given at lowest order…
Scheme Dependence and Multiple Couplings
Ian Jack, Hugh Osborn
For theories with multiple couplings the perturbative -functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible…
Consistency of non-minimal renormalisation schemes
I. Jack, C. Poole
Non-minimal renormalisation schemes such as the momentum subtraction scheme (MOM) have frequently been used for physical computations. The consistency of such a scheme relies on th…
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…
Gradient flows in three dimensions
I. Jack, D. R. T. Jones, C. Poole
The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via…
The a-function for gauge theories
I. Jack, C. Poole
The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via…
Constraints on RG Flow for Four Dimensional Quantum Field Theories
I. Jack, H. Osborn
The response of four dimensional quantum field theories to a Weyl rescaling of the metric in the presence of local couplings and which involve , the coefficient of the Euler den…
Superconformal Chern-Simons theories beyond leading order
I. Jack, C. Luckhurst
We discuss higher-order corrections to superconformal invariance for a class of N=2 supersymmetric Chern-Simons theories including the ABJM model. We argue that corrections are ine…
Four-loop results for the anomalous dimension for a general N=2 supersymmetric Chern-Simons theory in three dimensions
I. Jack, C. Luckhurst
We present results for the planar contribution to the four-loop anomalous dimension for a general N=2 supersymmetric Chern-Simons theory in three dimensions. These results should f…
Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
I. Jack, C. Luckhurst
We present exact results for the beta-functions for the soft-breaking parameters in softly-broken N=2 Chern-Simons matter theories in terms of the anomalous dimension in the unbrok…
Renormalisation of the non-anticommutativity parameter at two loops
I. Jack, R. Purdy
We present evidence that the non-anticommutativity parameter for the N=1/2 supersymmetric SU(N)XU(1) gauge theory is unrenormalised through two loops.
A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
I. Jack, D. R. T. Jones, R. Purdy
We discuss the non-anticommutative (N=1/2) supersymmetric SU(N)\otimes U(1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable ver…
The non-anticommutative supersymmetric U(1) gauge theory
I. Jack, D. R. T. Jones, R. Purdy
We discuss the non-anticommutative (N=1/2) supersymmetric U(1) gauge theory in four dimensions, including a superpotential. We perform the one-loop renormalisation of the model, in…
The non-anticommutative supersymmetric Wess-Zumino model
I. Jack, D. R. T. Jones, R. Purdy
We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative…
The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups
Ian Jack, D. R. Timothy Jones, Philipp Kant +1
We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transfor…