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26 papers · 1 filter
Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions
J. A. Gracey
We present a detailed evaluation of , the critical exponent corresponding to the electron anomalous dimension, at in a large flavour expansion of QED in arbitra…
The Behavior of Vortex Loops in the 3-d XY Model
Arjan Hulsebos
The behavior of vortex loops is studied in the 3-d XY model. It is found that the phase transtiton of the 3-d XY model is caused by percolating vortex loops.
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 s…
Fitting Correlated Data
C. Michael
We discuss fitting correlated data - with the example of hadron mass spectroscopy in mind. The main conclusion is that the method of minimising correlated is unreliable if th…
Dimensional Reduction in Non-Supersymmetric Theories
I. Jack, D. R. T. Jones, K. L. Roberts
It is shown that regularisation by dimensional reduction is a viable alternative to dimensional regularisation in non-supersymmetric theories.
Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics
J. A. Gracey
By considering the scaling behaviour of various Feynman graphs at leading order in large $\Nf$ at the non-trivial fixed point of the -dimensional -function of QCD we deduce t…