I. Jack

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hep-th2026

$I ¨ ^{6}$ at $6$ (and some $8$ ) loops in $3 d$

Ian Jack, Hugh Osborn

We recalculate the contributions of individual six loop graphs to the $I^^{2}$ -function for a three dimensional scalar theory with an arbitrary sextic scalar potential. Previously this…

hep-th2025

Explorations in Scalar Fermion Theories: $I^^{2}$ -functions, Supersymmetry and Fixed Points

Ian Jack, Hugh Osborn, Tom Steudtner

Results for $I^^{2}$ -functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each dia…

hep-th2025

Anomalous dimensions for $I ¨ ^{n}$ in scale invariant $d = 3$ theory

I. Jack, D. R. T. Jones

Recently it was shown that the scaling dimension of the operator $I ¨ ^{n}$ in scale-invariant $d = 3$ theory may be computed semiclassically, and this was verified to leading order (two…

I¨6 at 6 (and some 8) loops in 3d

Explorations in Scalar Fermion Theories: I^2-functions, Supersymmetry and Fixed Points

Anomalous dimensions for I¨n in scale invariant d=3 theory

$I ¨ ^{6}$ at $6$ (and some $8$ ) loops in $3 d$

Explorations in Scalar Fermion Theories: $I^^{2}$ -functions, Supersymmetry and Fixed Points

Anomalous dimensions for $I ¨ ^{n}$ in scale invariant $d = 3$ theory